167438
AssignmentMultiple Choice

Testing a Claim about a Population Mean

Question 167438 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

What is the correct interpretation of the P-value?

Answer
A
There is a 1.24% chance that the mean teaching salary in metro Atlanta is greater than $48,553.
B
Assuming that the mean teaching salary is $48,553, there is a 1.24% chance that the null hypothesis is true.
C
Assuming that the mean teaching salary is greater than $48,553, there is a 1.24% probability of getting a sample mean salary of $49,021 or more by chance alone.
D
Assuming that the mean teaching salary is $48,553, there is a 1.24% probability of getting a sample mean salary of $49,021 or more by chance alone.

Explanation

A P-value is calculated assuming the null hypothesis is true. Here, the null mean salary is $48,553, and the observed sample mean is $49,021; the P-value of 1.24% is the probability of getting a sample mean of $49,021 or higher by chance alone under that assumption. It does not give the probability that the null hypothesis itself is true, so D is correct.

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