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Tamara is a physician who works in a city. She has a discussion with her colleague who believes that the population mean amount of water adults in the city consume per day is less than 60oz. Tamara believes the population mean amount is less than 60oz based on discussions with her patients. To test this claim, she selects a random sample of 37 adults in the city. The sample mean is 58.0oz with a sample standard deviation of 4.5oz. The test statistic t for a hypothesis test of H0:μ=60 versus Ha:μ<60 is computed as t≈−2.70, which has 36 degrees of freedom. If 0.005<p-value<0.01 and the level of significance is α=0.01, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of water adults in the city consume is less than 60oz per day?Select all that apply:A) Reject the null hypothesis that the true population mean amount of water adults in the city consume is equal to 60oz per day.B) Fail to reject the null hypothesis that the true population mean amount of water adults in the city consume is equal to 60oz per day.C) There is enough evidence at the α=0.01 level of significance to support the claim that the true population mean amount of water adults in the city consume is less than 60oz per dayD) There is not enough evidence at the α=0.01 level of significance to suggest that the true population mean amount of water adults in the city consume is less than 60oz per day.

Question

Tamara is a physician who works in a city. She has a discussion with her colleague who believes that the population mean amount of water adults in the city consume per day is less than 60oz. Tamara believes the population mean amount is less than 60oz based on discussions with her patients. To test this claim, she selects a random sample of 37 adults in the city. The sample mean is 58.0oz with a sample standard deviation of 4.5oz. The test statistic t for a hypothesis test of H0:μ=60 versus Ha:μ<60 is computed as t≈−2.70, which has 36 degrees of freedom. If 0.005<p-value<0.01 and the level of significance is α=0.01, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of water adults in the city consume is less than 60oz per day?

Select all that apply:

A) Reject the null hypothesis that the true population mean amount of water adults in the city consume is equal to 60oz per day.

B) Fail to reject the null hypothesis that the true population mean amount of water adults in the city consume is equal to 60oz per day.

C) There is enough evidence at the α=0.01 level of significance to support the claim that the true population mean amount of water adults in the city consume is less than 60oz per day

D) There is not enough evidence at the α=0.01 level of significance to suggest that the true population mean amount of water adults in the city consume is less than 60oz per day.

check_circleAnswer
Step 1

The correct options are: (A) and (C).

 

Explanation:

It is provided that the p-value is between 0.005 and 0....

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Math

Statistics

Hypothesis Testing

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