8. A large online retailer is analyzing how frequently their product WonderWidget™ is returned. Out of 345 Wonder Widgets bought, 48 were returned. (a) Find the 97% confidence interval for the long-run proportion of WonderWidgets returned. (b) If the retailer wanted to obtain a 97% confidence interval with a margin of error +0.03, how many purchases it should analyze?
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- 2. A study investigated 62 students who were randomly assigned into two equal size groups. Group A could listen to music as they studied for a big test, while group B was not allowed to listen to music. After the exam, they calculated a 95% confidence interval for the mean difference in scores between groups, which was (-1.2, 3.4). Explain what one can conclude from this confidence interval. Does it appear that is better to study while listening to music?A scientist claims that 65% of U.S. adults believe humans contribute to an increase in global temperature. A 95% confidence interval for the proportion of U.S. adults who say that the activities of humans are contributing to an increase in global temperatures is found to be (0.626, 0.674). Does this confidence interval support the scientist's claim? Since 0.65 falls in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is correct. Since 0.65 falls in the confidence interval, the scientist’s claim is correct.A student is conducting a survey using data on study hours collected from a random sample of 100 students at NSU. She finds 95% confidence interval for the mean study hours to be (12.5, 15). She states that she is 95% sure that all students studies for 12.5 to 15 hours. Do you agree with this statement? Explain your answer.
- Suppose that you're regressing the Sales Price (the y-variable) of a home on the Square Footage (the x-variable) of that home, and the 95% Confidence Interval (CI) estimate of B1 is given by the interval: (-2.757,3031). Give the interpretation of this CI. Specifically, EXPLAIN how the CI answers the question about whether or not Home Prices and Square Footage are, or are not, significantly linearly related.If the number of smokers in a sample of 40 students selected from university A is 14 and the number of smokers in a sample of 380 students selected from university B is 84. Then the 99% confidence interval for the difference between proportions of smokers in the two universities (PB- PA) is closest to O a. (-0.1450,-0.1130) O b. (-0.3310,0.0729) O c. None of these o d. (-0.3110,0.0534) e. (-0.1430,-0.1150)Researchers conducted a study of smartphone use among adults. A cell phone company claimed that iPhone smartphones are more popular with whites (non-Hispanic) than with African Americans. The results of the survey indicate that of the 232 African American cell phone owners randomly sampled, 5% have an iPhone. Of the 1,343 white cell phone owners randomly sampled, 10% own an iPhone. Find a 95% confidence interval for the difference in proportions between white and African American smartphone users.
- During the 2006-2007 NBA season, Kyle Korver led the league by making 191 of 209 free throws, for a success rate of 91.39%. But Matt Carroll was close behind with 188 of 208. Find a 95% confidence interval for the difference in their free throw percentages.A U.S. Travel Data Center survey of 500 adults found that 195 said they would take more vacations this year than last year.Construct a 95% confidence interval for the true proportion of adults who said that they will travel more this year.( 3 ) During the 2016-17 season, Marcelo Zepeda attempted 179 3-point shots and made 54 of them. Calculate a 95% confidence interval for his ABILITY to make 3-point shots in that season.