You wish to test the following claim (HaHa) at a significance level of α=0.10

Ho:μ=85.5H

Ha:μ≠85.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data |
---|

55 |

52 |

77.1 |

68.5 |

74.2 |

84.1 |

84.6 |

88.4 |

57.8 |

74.2 |

What is the critical value for this test? (Report answer accurate to three decimal places.)

critical value = ?

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

test statistic = ?

You wish to test the following claim (Ha) at a significance level of α=0.01.

Ho:p1=p2

Ha:p1≠p2

You obtain 19.4% successes in a sample of size n1=707 from the first population. You obtain 25% successes in a sample of size n2=396 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate to two decimal places.)

critical value = ±

What is the test statistic for this sample? (Report answer accurate to three decimal places. Round the number of successes to the nearest whole number for these calculations, and be sure to use the numbers when computing ˆp1 and ˆp2

test statistic =

The test statistic is…

- in the critical region
- not in the critical region

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 first population proportion is not equal to the second population proprtion.
- There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion.
- The sample data support the claim that the first population proportion is not equal to the second population proprtion.
- There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.

You wish to test the following claim (Ha) at a significance level of α=0.002α

Ho:p=0.44

Ha:p<0.44

You obtain a sample of size n=289 in which there are 121 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate to two decimal places.)

critical value =

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

standardized test statistic =

The standardized test statistic is: choose one of two possible answers.

- in the critical region
- not in the critical region

This standardized test statistic leads to a decision to: choose one of three possible answers.

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that: choose one of four possible answers.

- There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.
- There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.
- The sample data support the claim that the population proportion is less than 0.44.
- There is not sufficient sample evidence to support the claim that the population proportion is less than 0.44.

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