Question

With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = – 1.68. Using a 0.05 significance level, the P-value and the conclusion about null hypothesis are:

ِA) 0.0465; reject H0

B) 0.093; fail to reject H0

C) 0.9535; fail to reject H0

D) 0.0465; fail to reject H0

what is the correct answer?

Answer 1

We are given the following data and are asked to identify the correct conclusion about the null hypothesis

To find the p-value, we look at the standard normal tables for the probability corresponding to the z-score of -1.68.

From the standard normal tables, the probability corresponding to z-score of -1.68 is 0.0465.

We reject the null hypothesis if p-value is less than the significance level.

Since p-value(0.0465) is less than the significance level(0.05), we reject the null hypothesis.

Hence the correct option is A) 0.0465; reject H₀.