The average amount of time it takes for couples to further communicate with each other after their first date has ended is 3.95 days.  Is this average longer for blind dates? A researcher interviewed 42 couples who had recently been on blind dates and found that they averaged 4 days to communicate with each other after the date was over.  Their standard deviation was 0.415 days. What can be concluded at the α = 0.05 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion   

 H0:H0:  ? p μ  Select an answer > = < ≠       

 H1:H1:  ? p μ  Select an answer > = < ≠    

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 voters who prefer the Democratic candidate is significantly different from 56% at a level of significance of αα = 0.01. According to your sample, 48 out of 74 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: ? μ p  Select an answer < > ≠ =  (please enter a decimal)   
    H₁: ? p μ  Select an answer = > ≠ <  (Please enter a decimal)

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

Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 14.1 pages of essay writing for the course. The standard deviation for these 47 classes was 4.7 pages. The 50 randomly selected history classes assigned an average of 16.1 pages of essay writing for the course. The standard deviation for these 50 classes was 4.5 pages. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use Select an answer t-test for the difference between two independent population means z-test for a population proportion t-test for the difference between two dependent population means t-test for a population mean z-test for the difference between two population proportions Incorrect

1. The null and alternative hypotheses would be:   

  

 H0:H0:  Select an answer μ1 p1 Correct Select an answer < > = ≠ Correct Select an answer p2 μ2 Correct     

 H1:H1:  Select an answer μ1 p1 Correct Select an answer ≠ > = < Correct Select an answer μ2 p2 Correct

1. The test statistic ? z t Incorrect = Incorrect (please show your answer to 3 decimal places.)
2. The p-value = Incorrect (Please show your answer to 4 decimal places.)
3. The p-value is ? > ≤ Incorrect αα
4. Based on this, we should Select an answer reject fail to reject accept Incorrect the null hypothesis.
5. Thus, the final conclusion is that …
   • The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
   • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
   • The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require.
   • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean number of required pages for the 47 political science classes that were observed is less than the mean number of required pages for the 50 history classes that were observed.

Before the furniture store began its ad campaign, it averaged 117 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 14 randomly selected days since the ad campaign began is shown below: 

85, 114, 96, 124, 110, 121, 90, 115, 127, 116, 117, 110, 84, 129

Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance?

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:     

 H0:H0:  ? μ p  Select an answer ≠ = < >       

 H1:H1:  ? μ p  Select an answer ≠ = > <    

1. The test statistic ? t z  =  (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 fail to reject reject accept  the null hypothesis.

15% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 394 randomly selected students who receive financial aid, 55 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance?

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:     

 H0:H0:  ? μ p  Select an answer < > ≠ =  (please enter a decimal)   

 H1:H1:  ? p μ  Select an answer < = > ≠  (Please enter a decimal)

1. The test statistic ? t z  = (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 ? ≤ >  αα
4. Based on this, we should Select an answer fail to reject reject accept  the null hypothesis.

The average salary in this city is $43,200. Is the average more for single people? 47 randomly selected single people who were surveyed had an average salary of $49,485 and a standard deviation of $16,570.  What can be concluded at the  αα = 0.10 level of significance? 

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:     

 H0:H0:  ? μ p  Select an answer ≠ < = >       

 H1:H1:  ? p μ  Select an answer > ≠ = <    

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.)
3. The p-value is ? ≤ >  αα
4. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.

Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 12 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.7 hours to be admitted into the hospital. The standard deviation for these 12 patients was 2.3 hours. What can be concluded at the the αα = 0.01 level of significance level of significance?

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:     

 H0:H0:  ? p μ  Select an answer = > ≠ <      

 H1:H1:  ? p μ  Select an answer = ≠ > <   

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 ? ≤ >  αα
4. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.