Question

In testing the hypotheses H_0 ? = 75 H_A ? > 75 the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true? The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042. The smallest value of ? that would lead to the rejection of the null hypothesis is 0.042. The probability that the population mean is smaller than 75 is 0.042. None of the above statements is correct.

          In testing the hypotheses

H_0 ? = 75
H_A ? > 75

the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.
The smallest value of ? that would lead to the rejection of the null hypothesis is 0.042.
The probability that the population mean is smaller than 75 is 0.042.
None of the above statements is correct.

In testing the hypotheses

H0 ? = 75
HA ? > 75

the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.
The smallest value of ? that would lead to the rejection of the null hypothesis is 0.042.
The probability that the population mean is smaller than 75 is 0.042.
None of the above statements is correct.

Added by Sarah D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

02/02/2023

Step 1

The alternative hypothesis (HA) suggests that the population proportion (p) is greater than 75. This setup indicates we are dealing with a one-tailed test where we are specifically interested in whether the population proportion exceeds 75. Show more…

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In testing the hypotheses: Ho: μ = 75 HA: μ > 75 The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true? A. The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042. B. The smallest value of α that would lead to the rejection of the null hypothesis is 0.042. C. The probability that the population mean is smaller than 75 is 0.042. D. None of the above statements is correct.