Question

corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let ?1 and ?2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.

1) At the above situation, what kinds of test can be used?

a) z-test

b)t-test

c) F-test

d) Ch-square test

2) At the above situation, if the firm wants to check if variances of two samples are same or not based on 5% significance level. what kinds of test can be used?

a) z-test

b)t-test

c) F-test

d) Ch-square test

Answer 1

1) In the above situation, we can use a Chi-Square test to determine whether the population proportions are different or not. In this test,

Here p1 and p2 are the population proportions respectively

2) If the firm wants to check if variances of two samples are same or not based on 5% significane level, we will use F-test.

The test statistic used here will be:

Here s1 and s2 are sample variances.

The hypothesis used here are:

Ho :

H1: