Question

Use the given information to find the P Value. Also use a .05 significance level and state the conclusion about the null hypothesis. With Ha: P = 3/5, the test statistic is z = .78

Answer 1

P-value = 0.2177

Conclusion: The P-value 0.2177 is greater than the significance level 0.05, so we fail to reject the null hypothesis (P = 3/5)

Explanation:

Null hypothesis (Ha): P = 3/5

Significance level = 0.05

Decision rule: Reject Ha if the P-value and is less than or equal to the significance level. Fail to reject Ha if P-value is greater than the significance level

Using the standard normal distribution table, the critical value of the test statistic z = 0.78 is 0.7823

P-value = 1 - 0.7823 = 0.2177

The P-value is greater than the significance level, so we fail to reject the null hypothesis (P = 3/5)