Question

It is expected that a particular medical condition is equally likely to affect males and females. From a random sample of 50 individuals with this condition, it is found that 16 are male. The p-value for the hypothesis test is approximately:

Answer 1

equally likely means the ratio for males is 0.5

The following information is provided: The sample size is N = 50 , the number of favorable cases is X = 16 , and the sample proportion is

(1) Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho: p = 0.5

Ha: p ≠​ 0.5

This corresponds to a two-tailed test, for which a z-test for one population proportion needs to be used.

(2) Test Statistics

The z-statistic is computed as follows:

Using the P-value approach: The p-value is p = 0.0109