Use technology to find the $P$-value for the following values of the test statistic $t$, sample size $n$, and alternate hypothesis $H _ { 1 }$.
$$t = 1.535 , n = 15 , H _ { 1 } : \mu \neq \mu _ { 0 }$$
A) 0.0735
B) 0.1470
C) 0.1456
D) 0.0728

Question

Quizplus · Accepted Answer

Given the two-tailed nature of the hypothesis test ($H_1: \mu \neq \mu_0$), the $P$-value must be doubled from the one-tailed test result. Using statistical software or a $t$-distribution table, the $P$-value for a $t$-score of 1.535 with $n - 1 = 14$ degrees of freedom is approximately 0.0735 for one tail. Doubling this for the two-tailed test gives approximately 0.1470.

Use Technology to Find The PPP -Value for the Following Values of the Test Statistic

Use Technology to Find The $P$ -Value for the Following Values of the Test Statistic