A recent Gallup poll found large differences in the type of household chores done by wives and husbands." Wives still do most of the indoor household chores. Husbands still tend to do more work outside and with family cars. The simulated data in this problem are based on the results of this poll. Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home. From a random sample of 66 randomly selected wives, we observe 44 who do laundry at home. From a random sample of 46 husbands, we observe 18 who do laundry at home. Test the claim that the proportion of wives, p 1
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, who do laundry at home is different from the proportion of husbands, p 2
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. who do laundry at home. Use a 1% significance level. 8 Determine the Hypotheses A What is the null hypothesis for this test? B What is the alternative hypothesis for this test? C Is this a left-, right-, or two-tailed test? How do you know? 9. Collect the Data A Use the sample proportions to verify the criteria for normality for each of the underlying sampling distributions. For the wives, there are successes and failures. For the husbands, there are successes and failures. Are the criteria for approximate normality met for both populations? Explain. B Calculate the sample proportions for the wives and husbands. p
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1
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2
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