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Test for Proportions

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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?

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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.

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