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 $H _ { 1 } : p 0.554$ the test statistic is z=1.34 .
A) 0.9099 ; fail to reject the null hypothesis
B) 0.0901 ; reject the null hypothesis
C) 0.0901 ; fail to reject the null hypothesis
D) 0.1802 ; 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 $H _ { 1 } : p > 0.554$ the test statistic is  z=1.34 .
A)  0.9099 ; fail to reject the null hypothesis
B)  0.0901 ; reject the null hypothesis
C)  0.0901 ; fail to reject the null hypothesis
D)  0.1802 ; reject the null hypothesis

Quizplus · Accepted Answer

The P-value for a test statistic of z=1.34 is found by looking up the area to the right of z=1.34 in a standard normal distribution table or using a calculator, which gives 0.0901. Since the alternative hypothesis $H_1: p > 0.554$ suggests a one-tailed test to the right, and the significance level is 0.05, a P-value of 0.0901 is greater than 0.05, meaning we fail to reject the null hypothesis.

Use the Given Information to Find the P -Value H1:p>0.554H _ { 1 } : p > 0.554H1​:p>0.554

Use the Given Information to Find the P -Value $H _ { 1 } : p > 0.554$