# Test for Proportions

Conduct a test of hypothesis for the claim that a greater proportion of women agree wth this statement than men. Use a 0.05 level of significance.

a) Correctly state the hypotheses and label the claim

b) Draw a diagram correctly showing the sampling distribution

c) Calculate the test statistic

d) Give the p value

e) Tell if you reject/fail to reject the null hypothesis

f) In plain English what can be said of the claim?

https://brainmass.com/statistics/statistical-theory/test-proportions-566147

#### Solution Preview

Let π1 and π2 denote the proportion of women and men agree with the statement respectively.

a) The null and alternate hypotheses are

Ho: π1 ≤ π2

Ha: π1 > π2 (Claim)

b) The sampling distribution is normally distributed as shown ...

#### Solution Summary

The solution illustrates the testing of hypothesis procedure to make a decision about equality of two proportions.