Question

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun control advocates in an urban city believe that the percentage is lower among city residents and conduct a survey. They test the hypotheses H0: p=0.52 versus Ha: p<0.52. They calculate a Pâvalue of 0.078.
Using a significance level of 0.05, which of the following is the best explanation for how to use the Pâvalue to reach a conclusion in this case? G

A. Since the Pâvalue is greater than the significance level, we reject the null hypothesis
B. Since the Pâvalue is greater than the significance level, we fail to reject the null hypothesis
C. Since the Pâvalue is greater than the significance level, we accept the null hypothesis.

Answer 1

Answer:

B. Since P-value is greater than the significance level, we fail to reject the null hypothesis

Explanation:

Given Significance Level is 0.05 and the P-Value is 0.078

Since P-value greater than the significance level the best explanation is given by

Option B i.e.,

Since P-value is greater than the significance level, we fail to reject the null hypothesis