The International Nanny Association reports that in a sample of 528 in-home child care providers (nannies), 20 work for either a nationally known, locally known, or internationally known celebrity 5. a) Find a 95% confidence interval for the true proportion of all nannies who work for a celebrity. Interpret the resulting interval. b)

2. Suppose Netflix conducts a nation-wide survey to assess viewer habits regarding the show Ozark. Using a simple random sample, they select 8,000 men and 6,500 women to participate in the study. 7,102 of the men say that they watch Ozark, compared to 4,817 of the women.a. Estimate the difference in viewing habits of Ozark using a 95% confidence interval. b.Write a real world interpretation of this problem.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

Refer to the data set of 2020 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a​ 95% confidence interval estimate of the population percentage. Based on the​ result, does it appear that greater height is an advantage for presidential​ candidates? Why or why​ not? PRESIDENT HEIGHT HEIGHT OPP Jackson 185 171 Polk 173 185 Taft 182 178 Johnson 192 180 Pierce 178 196 J. Kennedy 183 182 Garfield 183 187 F. Roosevelt 188 182 Buchanan 183 175 Harrison 173 168 T. Roosevelt 178 175 Van Buren 168 180 J. Adams 170 189 Wilson 180 182 G. H. W. Bush 188 173 Harrison 168 180 J. Q. Adams 171 191 Lincoln 193 188 Harding 183 178 Clinton 188 188