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