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City officials in Sacramento conducted a survey asking voters how they plan to vote in the upcoming election. The data collected is summarized in the table below. Will Vote In Will Vote By Will Not Vote Total Person Mail Male 176 381 102 659 Female 288 413 90 791 Total 464 794 192 1450 a. Construct a 82% confidence interval for the proportion of voters who plan to vote by mail. Critical value: z* = 1.3408 (Enter the positive one.) Margin of Error: E = 12 Confidence Interval: ( 382 413IGN News wants to construct a 93% confidence interval for the proportion of households in California who own a gaming console. a. A previous survey conducted in 2012 estimated the proportion to be 0.35. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02? 451 b. Estimate the sample size needed if no estimate for p is available. 307 c. If IGN News wanted to estimate the proportion in the entire United States rather than in just California, would the necessary sample size be larger, smaller, or about the same? O Larger O Smaller O The Same X