Is a Car a Necessity? A random sample of n = 1483 adults in the US were asked whether they consider a car a necessity or a luxury, and we find that a 95 % confidence interval for the proportion saying that it is a necessity is 0.83 to 0.89. Explain the meaning of this confidence inter in the appropriate context. O 95 % of all adults believe a car is a necessity, with probability 0.83 to 0.89. O We are 95 % sure that between 0.83 and 0.89 of the 1483 adults in the survey believe that a car is a necessity. O We are 95 % sure that the proportion of all adults in the US who think a car is a necessity is between 0.83 and 0.89. O We are 95 % sure that the confidence interval for the proportion believing a car is a necessity is between 0.83 and 0.89. Taylor, P. and Wang, W., "The Fading Glory of the Television and Telephone," Pew Research Center, http://pewsocialtrends.org/pubs/762/fading-glory-television-telephone-luxury-necessity#prc-jump, accessed August 19, 2010.Investigating Hollywood Movies In the following exercise, we use data from HollywoodMovies. The dataset includes information on all movies to come out of Hollywood between 2007 and 2013. Audience Scores on Rotten Tomatoes The variable AudienceScore in the dataset HollywoodMovies gives audience scores (on a scale from 1 to 100) from the Rotten Tomatoes website. The five number summary of these scores is (19, 49, 61, 74, 96). Click here for the dataset associated with this question. (a) Are there any outliers in these scores, according to the IQR method? If there are no outliers, enter 0 in the answer box below. There is/are i outlier(s). (b) How bad would an average audience score rating have to be on Rotten Tomatoes to qualify as a low outlier? Less than i22, 24, 35, 22, 36, 36, 54, 44, 28, 53, 57, 31, 49, 40, 46 Using Statkey or other technology, find the following values for the above data. Click here to access StatKey. (a) The mean and the standard deviation. Round your answers to one decimal place. mean standard deviation (b) The five number summary. Enter exact answers. The values for @, and 3 should be obtained using StatKey. The five number summary is i ).-5 0 5 10 15 20 25 -5 0 5 10 15 20 25 -5 0 5 10 15 20 25 (a) Histogram A (b) Histogram B (c) Histogram C Match each standard deviation with one of the histograms given above. S = 1: S = 3: v446436430 Sod 520-540 5an X Estimate values at the 10th percentile and the 90th percentile for the data in the histogram given above. Round your answers to the nearest integer. Figure 1 shows sample proportions from samples of size n : lSfrorn a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. 0.71 0.74 0.77 0.80 0.83 0.86 0.89 Figure 1 Sampling distribution Round your answers to two decimal places. Match each five number summary with one of the boxplots in the figure shown below. Q R - S - T- 0 5 10 15 20 25 TempDiff (a) (2, 12, 14, 17, 25) (b) (5, 15, 18, 20, 23) (c) (10, 12, 13, 18, 25) V (d) (12, 12, 15, 20, 24)