Question

A survey in a recent issue of Scientific American reported that at most 39% of chemist have salaries of more than $100,000. To test the claim, a researcher randomly selected 117 chemist and found 53 who said that their salary was more than $100,000. At a = .10 test the claim using the Critical Value test and find the P-value for the test.

Answer 1

The null and alternate hypothesis are:

H0:

Ha:

The test statistic is given by:

Since this is a right-tailed test, so the p-value is given by:

Since p-value is less than 0.10, so we have sufficient evidence to reject the null hypothesis H0. Thus we can conclude that .

Also,

Since this is a right-tailed test, so the critical-value is given by:

Since the test statistic value is greater than the critical value, so we have sufficient evidence to reject H0. Thus we can conclude that .