A survey of 1000 students concluded that 274 students chose a professional baseball team, A, as his or her favorite team. In 1991, the same survey was conducted involving 760 students. It concluded that 240 of them also chose team A as their favorite. Compute a 95% confidence interval for the difference between the proportion of students favoring team A between the two surveys. Is there a
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- What is meant by the sample space of an experiment?A survey of 1000 students concluded that 274 students chose a professional baseball team, A, as his or her favorite team. In 1991, the same survey was conducted involving 760 students. It concluded that 240 of them also chose team A as their favorite. Compute a 95% confidence interval for the difference between the proportion of students favoring team A between the two surveys. Is there a significant difference?In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 95 convenience store receipts the week before the ad campaign began, and found that 28 of them showed a purchase of the pretzels. Another simple random sample of 65 receipts was taken the week after the ad campaign, and 33 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Interpret the results. A marketing manager claims that the proportion of customers who purchased pretzels did not change after the ad campaign. Does the confidence interval contradict this claim?
- A sample of 250 items from lot A contains 10 defective items, and a sample of 300 itemsfrom lot B is found to contain 18 defective items. Construct a 98% confidence interval for the difference of proportions of defective items.In 2003, an organization surveyed 1,500 adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the 1,500 adult Americans surveyed, 1,085 stated the United States made the right decision. In 2008, the organization asked the same question of 1,500 adult Americans and found that 575 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, p2003−p2008.in a survey of 499 randomly selected gun owners, it was found that 62 of them said they owned a gun primarily for protection. find the margin of error and 95% confidence interval for the percentage of all gun owners who would say they own a gun primarily for protection.
- In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series.A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 80 convenience store receipts the week before the ad campaign began, found that 16 of them showed a purchase of the pretzels. Another simple random sample of 50 receipts was taken the week after the ad campaign and 28 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p1 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week before the ad campaign began, and p2 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week after the ad campaign. •Find the point estimate. •Find the standard error. Round to four decimal places. •Find the margin of error. Round to four decimal places.
- In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 80 convenience store receipts the week before the ad campaign began, found that 16 of them showed a purchase of the pretzels. Another simple random sample of 50 receipts was taken the week after the ad campaign and 28 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p1 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week before the ad campaign began, and p2 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week after the ad campaign. 1. Find the point estimate. 2. Find the standard error. Round to four decimal places. 3. Find the margin of error. Round to four decimal places.A joint USA Today/CNN/Gallup Poll in July 2020 indicated that of 832 white adults, 46% thought affirmative action has been good for the country and 44% thought it had not been good; the remaining 10% were undecided. Construct and interpret a 95% confidence interval for the true proportion of American white adults believing that affirmative action has been good.In a sports poll, 142 of 500 randomly selected Americans indicated that they consider themselves to be baseball fans. Calculate a 98% confidence interval for the proportion of Americans who consider themselves to be baseball fans.