Hypothesis testing

Question

For the following, find the p-value and the critical value to test the null-hypothesis.

a. The test statistic is Z = -2.5 with a claim that the population p < 0.75, and α = .05.

b. The test statistic is Z = 2.01 when testing the claim p ≠ .35.

Answer 1

The p-value is the probability that the mean of a probability distribution, will be greater or less than the all the observed results. I.e. how likely that the data will occur when under a null hypothesis.

For question a. the p value is 0.00621

For question b. the p value is 0.022216

(this is from using the z-chart)