Nausea is a common side effect of many medications. In a study of a new over-the-counter pain medication 174 of 758 study participants experienced nausea when using the new medication. 1. What is the point estimate p for the proportion of users who develop nausea? 2. Use the formula to find the margin of error E Nausea is a common side effect of many medications. In a study of a new over-the-counter pain medication 174 of 758 study participants experienced nausea when using the new medication. 1. Construct the 90% confidence interval for the proportion of users who develop nausea. 2. Construct the 95% confidence interval for the proportion of users who develop nausea. 3. Which level of confidence has the wider confidence interval? In 2015 a Gallup poll found that about 45% of adults have tried marijuana. A 2021 poll based on telephone interviews conducted July 6-21, 2021, with a random sample of 1,007 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia found that 492 of the 1,007 adults had tried marijuana. 1. Find the p for the proportion of adults that have tried marijuana in 2021 2. Convert the point estimate to a percentage 3. Construct the 90% confidence interval for the proportion of adults that have tried marijuana in 2021 4. Compare the 2021 point estimate with the result from 2015. In 1 - 2 complete sentences explain what has changed. A technology survey firm is hired to estimate the percent of adults living in a large city who have cell phones. A simple random sample of 478 adult residents in this city are surveyed to determine whether they have cell phones. n = 479 2 = 421 1. Using a 90% confidence level, construct the confidence interval for the true proportion of adult residents of this city who have cell phones 2. Using a 95% confidence level, construct the confidence interval for the true proportion of adult residents of this city who have cell phones 3. In 1 - 2 complete sentences describe the effect of increasing the level of confidence to 95% on the width of the confidence interval Out of a simple random sample of 200 adults ages 18 to 30, 54 still lived with their parents. 1. What is the point estimate for the true population proportion of adults ages 18 to 30 that still live with their parents 2. Construct a 95% confidence interval for the true population proportion of adults ages 18 to 30 that still live with their parents