Call me: A sociologist wants to construct an 80% confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone. Part: 0 / 3 Part 1 of 3 (a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 0.36. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02? A sample of children aged 8-10 living in New York is needed to obtain an 80% confidence interval with a margin of X 5 error of 0.02 using the estimate 0.36 for P. Part: 1 / 3 Part 2 of 3 (b) Estimate the sample size needed if no estimate of / is available. A sample of children aged 8-10 living in New York is needed to obtain an 80% confidence interval with a margin of X 5 error of 0.02 when no estimate of / is available.Part30f3 (c) If the sociologist wanted to estimate the proportion in the entire United States rather than in l\\.|e1-."l'-::-rlcr would the necessary sample size be larger, smaller, or about the same?I Explain. The necessaryI sample size would be (Choose one) 1' J since it (Choose one] I" depend on the size of the population. about the same X b larger smaller Part 3 of 3 (c) If the sociologist wanted to estimate the proportion in the entire United States rather than in New York, would the necessary sample size be larger, smaller, or about the same? Explain. The necessary sample size would be (Choose one) since it (Choose one) V depend on the size of the population. X does 5 does not