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2. A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 500 voters from one region, Region A. of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. (a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 7 The polling agency will take another sample from a different region, Region B, of the city. The agency plans to select a random sample of 400 voters. Assume that the population proportion of voters who would support the ballot measure in Region B is 0.51. (b) Describe the sampling distribution of the difference in sample proportions (Region B minus Region A). O (c) What is the probability that the two sample proportions will differ by more than 0.05 ?1. A phone company is interested in exploring marketing possibilities for a new smartphone among teenagers in Iceland. They ask an SRS of 1000 high school students whether they own a smartphone. Suppose 83% of all high school students in Iceland own a smartphone. (a) Describe the center and variability of the sampling distribution of p. (b) Describe the shape of the sampling distribution of p. (c) What is the probability that the random sample selected by the company will result in a value of p that is within 3 percentage points of the true population proportion