You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.31. You use a significance level of α =0.001.

H₀: p= 0.31
H₁: p≠ 0.31

You obtain a sample of size n=572 in which there are 191 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is…
less than (or equal to) α or greater than α

This test statistic leads to a decision to…
reject the null
accept the null
fail to reject the null

As such, the final conclusion is that…
There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.31.
There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.31.
The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.31.
There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.31.

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 73% at a significance level of αα = 0.025. According to your sample, 70 out of 87 potential voters prefer Candidate A.

1. For this study, we should use Select an answer χ²GOF-Test 2-PropZInt χ²-Test TInterval T-Test 2-PropZTest 2-SampTTest 1-PropZInt 1-PropZTest 2-SampTInt ANOVA 

1. The null and alternative hypotheses would be:   
     H0H0: ? p μ  Select an answer < ≠ = >  (please enter a decimal)   
     H1H1: ? μ p  Select an answer ≠ < > =  (Please enter a decimal)   

1. The test statistic = (please show your answer to 3 decimal places.)

1. The p-value = (Please show your answer to 4 decimal places.)

1. The p-value is Select an answer greater than less than (or equal to)  αα

1. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

1. As such, the final conclusion is that …
   • The sample data suggest that the populaton proportion is significantly different from 73% at αα = 0.025, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 73%
   • The sample data suggest that the population proportion is not significantly different from 73% at αα = 0.025, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 73%.

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.45. You use a significance level of α=0.02α=0.02.

      H0:p=0.45H0:p=0.45
      H1:p>0.45H1:p>0.45

You obtain a sample of size n=737n=737 in which there are 372 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.32. A random sample of 789 men over the age of 50 found that 208 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)

H₀: Select an answer p̂ σ s σ² μ x̄ s² p  ? ≤ > < ≥ ≠ =  

H₁: Select an answer p̂ μ σ x̄ σ² p s² s  ? ≥ < ≤ > = ≠  

Based on the hypotheses, find the following:

Test Statistic = 

Critical-value=

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.77. You use a significance level of α=0.002α=0.002.

      H0:p=0.77H0:p=0.77
      H1:p>0.77H1:p>0.77

You obtain a sample of size n=324n=324 in which there are 256 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 75% at a significance level of αα = 0.10. According to your sample, 39 out of 55 potential voters prefer Candidate A.

1. For this study, we should use Select an answer 2-PropZInt χ²-Test 1-PropZTest TInterval 2-SampTTest 2-PropZTest T-Test ANOVA 1-PropZInt 2-SampTInt χ²GOF-Test 

1. The null and alternative hypotheses would be:   
     H0H0: ? μ p  Select an answer > < = ≠   (please enter a decimal)   
     H1H1: ? p μ  Select an answer > < ≠ =   (Please enter a decimal)   

1. The test statistic =  (please show your answer to 3 decimal places.)

1. The p-value =  (Please show your answer to 4 decimal places.)

1. The p-value is Select an answer less than (or equal to) greater than  αα

1. Based on this, we should Select an answer fail to reject reject accept  the null hypothesis.

1. As such, the final conclusion is that …
   • The sample data suggest that the populaton proportion is significantly smaller than 75% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 75%
   • The sample data suggest that the population proportion is not significantly smaller than 75% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 75%.

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 57% at a level of significance of α

= 0.10. According to your sample, 53 out of 96 potential voters prefer the Democratic candidate.

1. For this study, we should use

The null and alternative hypotheses would be:    
 Ho: (please enter a decimal)   
 H₁:

1. (Please enter a decimal)

1. The test statistic

• = (please show your answer to 3 decimal places.)
• The p-value = (Please show your answer to 4 decimal places.)
• The p-value is

α

•  
• Based on this, we should
• the null hypothesis.
• Thus, the final conclusion is that …
  • The data suggest the population proportion is not significantly different from 57% at α
• = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 57%.
• The data suggest the populaton proportion is significantly different from 57% at α
• = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 57%
• The data suggest the population proportion is not significantly different from 57% at α

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.31. You use a significance level of α=0.001.

H₀:p=0.31
H₁: p≠ 0.31

You obtain a sample of size
n= 572 in which there are 191 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is…
less than (or equal to) α or greater than α

This test statistic leads to a decision to…
reject the null
accept the null
fail to reject the null

As such, the final conclusion is that…
There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.31.
There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.31.
The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.31.
There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.31.

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.59. You use a significance level of α=0.005α=0.005.

      H0:p=0.59H0:p=0.59
      H1:p≠0.59H1:p≠0.59

You obtain a sample of size n=521n=521 in which there are 296 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.13. You use a significance level of α=0.05.
      H0:p=0.13
      H1:p<0.13

You obtain a sample of size n=632n=632 in which there are 76 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.27. You use a significance level of α=0.001.

      H0:p=0.27H0:p=0.27
      H1:p≠0.27H1:p≠0.27

You obtain a sample of size n=406n=406 in which there are 97 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.11. You use a significance level of α=0.05α=0.05.

      H0:p=0.11
      H1:p≠0.11

You obtain a sample of size 349 in which there are 22 successes.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

This test statistic leads to a decision to

As such, the final conclusion is that

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of αα = 0.10. According to your sample, 58 out of 77 potential voters prefer the Democratic candidate. 

1. The null and alternative hypotheses would be:    
    Ho: ? p μ  Select an answer > ≠ = <   (please enter a decimal)   
    H₁: ? p μ  Select an answer < ≠ > =   (Please enter a decimal)

1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.59. You use a significance level of α=0.001.

      H0:p=0.59
      H1:p>0.59

You obtain a sample of size n=353 in which there are 235 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.72. You use a significance level of α=0.02

      H0:p=0.72
      H1:p<0.72

You obtain a sample of size n=291n=291 in which there are 192 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is…

This test statistic leads to a decision to…

As such, the final conclusion is that…

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α α = 0.05. According to your sample, 52 out of 89 potential voters prefer the Democratic candidate.

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean Correct
2. The null and alternative hypotheses would be:    
    Ho: ? p μ Correct Select an answer ≠ = < > Correct Correct (please enter a decimal)   
    H₁: ? μ p Correct Select an answer = ≠ < > Correct Correct (Please enter a decimal)

1. The test statistic ? z t Correct =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is ? ≤ >  αα
4. Based on this, we should Select an answer reject accept fail to reject Incorrect the null hypothesis.
5. Thus, the final conclusion is that …
   • The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%.
   • The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 59%.
   • The data suggest the populaton proportion is significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%

   Correct

6. Interpret the p-value in the context of the study.
   • There is a 45.62% chance that fewer than 59% of all voters prefer the Democratic candidate.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 voters are surveyed then there would be a 45.62% chance fewer than 58% of the 89 voters surveyed prefer the Democratic candidate.
   • If the sample proportion of voters who prefer the Democratic candidate is 58% and if another 89 voters are surveyed then there would be a 45.62% chance of concluding that fewer than 59% of all voters surveyed prefer the Democratic candidate.
   •  There is a 59% chance of a Type I error.
7. Interpret the level of significance in the context of the study.
   • There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
   • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller than 59%.
   • If the proportion of voters who prefer the Democratic candidate is smaller than 59% and if another 89 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 59%.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 59%

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 73% at a level of significance of αα = 0.01. According to your sample, 56 out of 75 potential voters prefer the Democratic candidate.

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean 
2. The null and alternative hypotheses would be:    
    Ho: ? p μ  Select an answer < = ≠ >  (please enter a decimal)   
    H₁: ? p μ  Select an answer ≠ < = >  (Please enter a decimal)

1. The test statistic ? z t  = (please show your answer to 2 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? ≤ >  α