A surprising number of young adults (ages 19 to 25) still live in their parents' homes. A random sample by the National Institutes of Health included 2253 men and 2629 women in this age group. The survey found that 986 of the men and 923 of the women lived with their parents. Construct and interpret a 99% confidence interval for the difference in the true proportions of men and women aged 19 to 25 who live in their parents homes. What conditions are met? (select all that apply) (Remember you check BOTH populations.)

A surprising number of young adults (ages 19 to 25) still live in their parents' homes. A random sample by the National Institutes of Health included 2253 men and 2629 women in this age group. The survey found that 986 of the men and 923 of the women lived with their parents. Construct and interpret a 99% confidence interval for the difference in the true proportions of men and women aged 19 to 25 who live in their parents' homes. What conditions are met? (select all that apply) (Remember you check BOTH populations.) O 923 > 30 O 10(923) 30 O 2253 > 30 O a random sample V 2629 > 30 O 986 > 10 O 10(2629) 10 O 1706 > 10 O 923 > 10 O 10(986) < all men aged 19 to 25 O 10(2253) < all men aged 19 to 25 O O

57 out of 70 students said they were comfortable with “working in a workplace with a lot of activity,” and 38 out of 71 said they were comfortable with “doing group projects.” Find a 90% confidence interval for the difference between these two proportions.

In a sample of 1901 patients who underwent a certain type of surgery, 22% experiencedcomplications. Find a 90% confidence interval for the proportion of all those undergoingthis surgery who experience complications

The Nielsen company surveyed 257 owners of android phones and found that 217 of them planned to get another android as their next phone. What is the lower bound for the 95% confidence interval for the proportion of android users who plan to get another android.

A sociologist develops a test to measure attitudes about public transportation, and 20 randomly selected subjects are given the test. Their mean score is 85 and their standard deviation is 7.70. Construct 99% confidence interval for the mean score of all such subjects.

According to a recent study only 34% of adults in the United States could name all three branches of government. This was based on a survey given to a random sample of 1750 adults. Calculate a 95% confidence interval (z score=1.96) for the proportion of all U.S. adults who could name all three branches of government. SHOW YOUR WORK, no work=no credit

In a survey of 1,626,773 U.S. adults, 49,311 personally identified as lesbian, gay, bisexual, or transgender. Construct a 95% confidence interval for the population portion of U.S. adults who personally identify as gay, lesbian,bisexual or transgender.

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car.   They randomly survey 391 drivers and find that 316 claim to always buckle up.   Construct a 95% confidence interval for the population proportion that claim to always buckle up.

A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night? yes because 1 is in the confidence interval yes because 0 is not in the confidence interval no because 1 is in the confidence interval no because 0 is not in the confidence interval