In a test of the hypothesis Ho: µs 56 versus Ha: µ> 56, a sample of n = 100 observations possessed mean x = 55.4 and standard deviations= 4.2. Find and interpret the p-value for this test. The p-value for this test is |. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is O B. The probability (assuming that Ho is true) of observing a value of the test statistic that is equal to the null hypothesis is O C. The probability (assuming that H, is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is

MATLAB: An Introduction with Applications
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In a test of the hypothesis \( H_0: \mu \leq 56 \) versus \( H_a: \mu > 56 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 55.4 \) and standard deviation \( s = 4.2 \). Find and interpret the p-value for this test.

The p-value for this test is \(\_\_\_\_\_\). (Round to three decimal places as needed.)

Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.)

A. ⬜ The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is \(\_\_\_\_\_\).

B. ⬜ The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is equal to the null hypothesis is \(\_\_\_\_\_\).

C. ⬜ The probability (assuming that \( H_a \) is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is \(\_\_\_\_\_\).
Transcribed Image Text:In a test of the hypothesis \( H_0: \mu \leq 56 \) versus \( H_a: \mu > 56 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 55.4 \) and standard deviation \( s = 4.2 \). Find and interpret the p-value for this test. The p-value for this test is \(\_\_\_\_\_\). (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. ⬜ The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is \(\_\_\_\_\_\). B. ⬜ The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is equal to the null hypothesis is \(\_\_\_\_\_\). C. ⬜ The probability (assuming that \( H_a \) is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is \(\_\_\_\_\_\).
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