Question

We are conducting a test of the hypotheses

(H0:p=0.4)

versus

(Ha:p≠0.4)

For our test, we calculate a sample proportion of 0.28 with a sample size of 50. What is the corresponding p-value? Give your answer to four decimal places.

Answer 1

According to the given question, we want to test the test hypothesis as:

Against the alternative hypothesis as;

For the test, the sample proportion of 0.28 with a sample size of 50.

Therefore, and

Therefore the test statistics is define as:

we accept the null hypothesis.

Corresponding P value is determined as:

Interpretation:

As

Hence the result is not significant at we accept the null hypothesis and we can conclude that we do not have any sufficient evidence to conclude that (Ha:p≠0.4).

What is the corresponding p-value