A random sample of 100 employees at a company shows that 42 drive US made automobiles (the rest drive imported cars even though some are made in the USA). Form a 90% confidence interval for the proportion of all employees who drive US made cars. The interval is 0.42 ± what margin of error?

Out of 500 people sampled, 330 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to four places

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

A student found that in a random sample of 300 people in a town, 105 play sports. Based on this sample, construct a 90% confidence interval for the population proportion of all people in the town who play sports.Give your answers as decimals, rounded to three decimal places.