The Pew Research Center has conducted extensive research on social media usage. One finding, reported in June 2018, was that 78% of adults aged 18 to 24 use Snapchat. Another finding was that 45% of those aged 18 to 24 use Twitter. Assume the sample size associated with both ndings is 500. Round your answers to four decimal places. 3. Develop a 95% confidence interval for the proportion of adults aged 18 to 24 that use Snapchat. to b. Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter. to c. In which case -art a) or part (b), is the margin of error larger? Select your answer I part (a) part (b) According to the Current Results website, the state of California has a mean annual rainfall of 20 inches, whereas the state of New York has a mean annual rainfall of 39 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use ztable. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with 19(5) = and 0'5 = (to 4 decimals). b. What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? I because the sample size is - Select your answer - v . \\/ Select your answer for New York in part (c) for California in part (b) The probability of being within 1 inch is great