Use the given information to find the P -value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With $H _ { 1 } : p \neq 3 / 5$ the test statistic is z=0.78 .
A) 0.2177 ; reject the null hypothesis
B) 0.4354 ; reject the null hypothesis
C) 0.4354 ; fail to reject the null hypothesis
D) 0.2177 fail to reject the null hypothesis

Question

Use the given information to find the  P -value. Also, use a  0.05  significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With $H _ { 1 } : p \neq 3 / 5$ the test statistic is  z=0.78 .
A)  0.2177 ; reject the null hypothesis
B)  0.4354 ; reject the null hypothesis
C)  0.4354 ; fail to reject the null hypothesis
D)  0.2177  fail to reject the null hypothesis

Quizplus · Accepted Answer

The P-value for a two-tailed test is found by doubling the area in one tail. Given a z-score of 0.78, the area in one tail is approximately 0.2177. Doubling this gives a P-value of approximately 0.4354. Since this P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

Use the Given Information to Find the P -Value H1:p≠3/5H _ { 1 } : p \neq 3 / 5H1​:p=3/5

Use the Given Information to Find the P -Value $H _ { 1 } : p \neq 3 / 5$