For questions 1, 2, 3, 5, 6, 7, 8 I only need the correct answers. I am not looking for an explanation. For question 4 I need the correct answer with a brief explanation. I will give a good rating, thank you!

Question 1: There are 3 boxes below that you will have to choose the correct answer for.

In a survey of 650 randomly selected U.S. males ages 18-64, 396 say they have gone to the dentist in the past year. Construct and interpret a 90% confidence interval for the true proportion of US. males that have gone to the dentist in the past year. Check the conditions. Random: ' V 10% I Independent :' v' Normal I Large Counts: ' v' Passes because 10(650) s all U.S. males ages 18-64 Passes because 10(396) s all U.S. males ages 18-64 Fails because 10(396) > 650 U.S. males ages 18-64 Fails because 650(1-0.61) > 10Passes because 396(0.61) 2 10 and 396(1-0.61) 2 10 Passes because 650(0.61) 2 10 and 650(1-0.61) 2 10 Passes because 650(0.90) 2 10 and 650(1-0.90) 2 10 Passes because 396(0.90) 2 10 and 396(1-0.90) 2 10In a survey of 650 randomly selected U.S. males ages 18-64, 396 say they have gone to the dentist in the past year. Construct and interpret a 90% confidence interval for the true proportion of US. males that have gone to the dentist in the past year. Round all answers to 3 decimal places. Point Estimate, 5?: ':| critical value, 2*: ': standard deviation, op : ': Margin of Error: ':| Construct a 95% condence interval for p: ': In a survey of 650 randomly selected U.S. males ages 18-64, 396 say they have gone to the dentist in the past year. Interpret the 90% condence interval you found in the previous problem for the true proportion of US. males that have gone to the dentist in the past year. The manager ofa car company will select a random sample of its customers to create a 99% confidence interval to estimate the proportion of its customers who have children. Of the following, what is the smallest sample size that will result in a margin of error of no more than 7% (0.07)? Show ALL WORK to the best of your ability (best option: show or describe what you typed into your calculator and the answer). As the sample size gets smaller, what happens to the width of your confidence interval? O Wider / Larger O Narrower / Smaller O Stays the SameAs the confidence gets larger, what happens to the width of the confidence interval? O Wider / Larger O Narrower / Smaller O Stays the SameA university dean is interested in determining the proportion of students who receive some sort of scholarship. Rather than examine the records for all students, the dean randomly selects 250 students and finds that 70 of them are receiving scholarships. Construct a 95% confidence interval to estimate the true proportion of students on scholarship. Round to the nearest thousandth.A researcher wishes to estimate the number of households with two computers. How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 2%? A previous study indicates that the proportion of households with two computers is 45%. O 1521 O 1674 O 1702 O 2377