Use technology to find the $P$-value for the following values of the test statistic $t$, sample size $n$, and alternate hypothesis $H _ { 1 }$.
$t = 1.212 , n = 6 , H _ { 1 } : \mu \mu _ { 0 }$
A) 0.1355
B) 0.1398
C) 0.2710
D) 0.2796

Question

Use technology to find the $P$-value for the following values of the test statistic $t$, sample size $n$, and alternate hypothesis $H _ { 1 }$.
$t = 1.212 , n = 6 , H _ { 1 } : \mu > \mu _ { 0 }$
A) 0.1355
B) 0.1398
C) 0.2710
D) 0.2796

Quizplus · Accepted Answer

Using a t-distribution table or a statistical software, we can find that the $P$-value for a one-tailed t-test with a test statistic of 1.212 and 5 degrees of freedom (6-1) is approximately 0.1398. Since the alternate hypothesis is one-tailed ($\mu > \mu _ { 0 }$), we only need to consider the area in the right tail of the t-distribution, which corresponds to the probability of obtaining a test statistic as extreme or more extreme than 1.212 under the null hypothesis. Therefore, the correct answer is B.

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