Question

Test the hypothesis using the? P-value approach. Be sure to verify the requirements of the test. Upper H 0 ?: p= 0.7 versus Upper H 1 ?: p> 0.7n= 125?; x= 93?, alpha equals0.01

Answer 1

Given that,

the null hypothesis,

against the alternative hypothesis,

This is right tailed test.

x = 93,        p = 125

therefore, sample proportion will be,

The test statistic will be,

The p-value for right tailed Z test will be,

This probability can be obtained either using table of z distribution or Excel function NORMSDIST(z) as below:

                   

The level of significance for the test is .

Since p-value for the test is not less than the level of significance, therefore, the null hypothesis cannot be rejected.