In a large-sample hypothesis test with an alternative hypothesis of $\mu60$, the $p$-value equals
A) $\alpha$.
B) $\beta$.
C) the critical value of $z$.
D) the area to the right of the obtained $z$ value.

Question

In a large-sample hypothesis test with an alternative hypothesis of $\mu>60$, the $p$-value equals
A) $\alpha$.
B) $\beta$.
C) the critical value of $z$.
D) the area to the right of the obtained $z$ value.

Quizplus · Accepted Answer

The $p$-value in hypothesis testing represents the probability of obtaining a test statistic at least as extreme as the one observed, given that the null hypothesis is true. For a test with an alternative hypothesis of $\mu>60$, the $p$-value is the area to the right of the obtained $z$ value on the standard normal distribution curve. This area indicates how extreme the observed data are assuming the null hypothesis is true.

In a Large-Sample Hypothesis Test with an Alternative Hypothesis Of \mu>60