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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- Joe’s Pizza Joint found that 64.2% of the 328 pizzas sold last week included pepperoni. Find a98% confidence interval for the proportion of Joe’s customers that order pepperoni.A researcher finds that individuals with a high school education or less are more likely to have hypertension than individuals with at least some college education. They report a relative risk of 2.1 with a 95% confidence interval or (1.6, 2.5). They then stratify their analysis by smoking status and report a relative risk of hypertension in smokers with a high school education or less as compared to smokers with at least some college education of 1.4 with a 95% confidence interval of (0.9, 1.9), and a relative risk of hypertension in non-smokers with a high school education or less as compared to non-smokers with at least some college education of 2.6 with a 95% confidence interval of (2.1, 3.2), Which of the following is not true? A) there is effect modification by smoking status B) there is effect modification by hypertension status C) there is no statistically significant assocation between education and hypertension amoung smokers D) Education and hypertension are not…A 90% confidence interval for the difference between the proportion of college students who use flash cards for studying and high school students who use flash cards for studying is (0.13, 0.23). Then the Error is +5%. True False
- The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities. Suppose we take a poll (random sample) of 3878 students classified as Juniors and find that 3241 of them believe that they will find a job immediately after graduation. Find the 95% confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. Use Z = 1.96. Use the unrounded values in Excel to find the answers to #2, #3 and #4. 1. Find the sample proportion of GSU Juniors who believe that they will, immediately, be graduation. 2. The standard error for sample proportion has a value of 3. The margin of error has a value of --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 therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress. The therapist wants to construct a 95% confidence interval for the difference in proportions of patients experiencing stress relief after yoga and after meditation. Are the conditions for inference met? A) Yes, the conditions for inference are met. B) No, the 10% condition is not met. C) No, the randomness condition is not met. D) No, the Large Counts Condition is not met.
- Suppose a marketing company computed a 96% confidence interval for the true proportion of customers who click on ads on their smartphones to be (0.59 , 0.71)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.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.
- Construct a 95% confidence interval estimate. How does this change your answer to (b)?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.Part 3. Assume that an advertisement claimed 32% of cellphone owners aged 18-24 have an android phone. Does the confidence interval contradict this claim? the confidence interval (a) does (b) does not contradict the claim because 0.32 (a)is (b) is not contained in the conf