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# 4 what is the standard error of the sampling

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Unformatted text preview: ions. In this way we can draw conclusions about the reasonableness of the assumption that the true proportions are equal, or that p1  ­ p2 = 0. In a recent poll by the Gallup organization,2 husbands and wives were asked about who pays the bills in their household. Suppose we assume that 50% of husbands pay the bills in their homes (p1 = 0.50) and 50% of wives pay the bills in their homes (p2 = 0.50). 1 The article on Gallup’s website stated that 35% of husbands said they pay the bills in their homes and 45% of wives say they pay the bills in their home. Suppose this poll was based on sample sizes of n1 = 15 for the husbands and n1 = 25 for the wives. Would a normal distribution be an appropriate model for the differences in sample proportions? 2 Suppose this poll was based on sample sizes of n1 = 120 for the husbands and n2 = 100 for the wives. Would a normal distribution be an appropriate model for the differences in sample proportions? 3 What is the mean of the sampling distribution of the differences in sample proportions, !! − !! ? 4 What is the standard error of the sampling distribution of the...
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