Use the following information for questions:
A sample of n = 200 college students is asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test H₀: p = 0.5 versus H_a: p > 0.5, where p is the population proportion of college students who say they believe in extraterrestrial life. The following Minitab output was obtained:

-Suppose that the alternative hypothesis had been H_a: p ? 0.5. What would have been the p-value of the test?

Question

Use the following information for questions:
A sample of n = 200 college students is asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test H₀: p = 0.5 versus H_a: p > 0.5, where p is the population proportion of college students who say they believe in extraterrestrial life. The following Minitab output was obtained:

-Suppose that the alternative hypothesis had been H_a: p ? 0.5. What would have been the p-value of the test?

Quizplus · Accepted Answer

Given the alternative hypothesis H1: p ≠ 0.5, the test is two-tailed. The p-value provided (e.g., 0.002) would be for one tail of the distribution. For a two-tailed test, you double the one-tail p-value, leading to 0.004.

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