4. To design a new advertising campaign, Volkswagen would like to estimate the proportion of drivers of the new VW Beetle who are women. In a random sample of 250 Beetle owners, 140 of them were women. a. Construct a 95% confidence interval to estimate this proportion. in. What is the margin of error for this sample? Verizon Wireless would like to estimate the average number of text messages received by American teenagers per month. A random sample of 60 teenaged customers was selected. The sample average was 2,272 messages per month, and the sample standard deviation was 953 messages per month. Construct condence intervals with the following confidence levels: a. 90% III. 95% c. 99% 6. According to statista.com, the average room rate for a New York City hotel in 2016 was $337. Suppose the Chamber 01 Commerce of New York City would like to test it this rate has changed recently by randomly sampling 40 room rates. The mean of this sample was found to be $351.20. Assume the population standard deviation is $55. Using a = 0.05. answer the following. a. State the null and alternative hypothesis. I]. What conclusions can be drawn for this test? c. Determine the p-value for this test and interpret its meaning