14. [1/7 Points] DETAILS PREVIOUS ANSWERS UHSTAT5 10.E.071.S.DEFECTIVE MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 170 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 52 students. LO USE SALT (a) For the sample, calculate the proportion of students who picked 7. (Round the answer to three decimal places.) (b) Calculate the standard error for this sample proportion. (Round the answer to four decimal places.) (c) Calculate a 90% confidence interval for the population proportion. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.) (d) Calculate a 95% confidence interval for the population proportion. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.) (e) Calculate a 98% confidence interval for the population proportion. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.) (f) What do the results of parts (c)-(e) indicate about the effect of confidence level on the width of a confidence interval? (Select all that apply.) O As the confidence level is decreased, the width of the interval increases. As the confidence level is increased, the width of the interval increases. As the confidence level is decreased, the width of the interval decreases. O As the confidence level is increased, the width of the interval decreases.15. [I5 Points] UHSTATS 10.E.084.S.DEFECTIVE ASK YOUR TEACHER PRACTICE ANOTHER A sample of college students was asked whether they would return the money if they found a wallet on the street. Of the 93 women, 83 said "yes," and of the 75 men, 52 said "yes." Assume that these students represent all college students. m USE (a) Find an approximate 95% condence interval for the proportions of college women who would say \"yes" to this question. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.) Find an approximate 95% condence interval for the proportions of college men who would say \"yes" to this question. (Enter your answer in the form: lower limit to upper limit. Include the word \"to." Round your numerical values to three decimal places.) (b) Find an approximate 95% condence interval for the difference in the proportions of college men and women who would say "yes" to this question. (Use pwomen pmen' Enter your answer in the form: lower limit to upper limit. Include the word \"to." Round your numerical values to three decimal places.) (c) Complete the sentences interpreting the intervals in parts (a) and (b). The two separate intervals make it evident that the proportion is higher for the population of Select-- v . This is conrmed in part (b), because the interval for the difference in proportions does not include , so we can conclude that a difference exists. 16. [-/6 Points] DETAILS UHSTAT5 10.E.085.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the table below are data collected on ear pierces and tattoos for male students. Assume that these men represent a random sample of male students. Tattoo? Ear Pierce? No Yes Total No 385 46 431 Yes LOO 41 14: Total 485 87 572 LA USE SALT (a) For the population of men with no ear pierce, find a 90% confidence interval for the proportion with a tattoo. (Round your answers to three decimal places.) to (b) For the population of men with an ear pierce, find a 90% confidence interval for the proportion with a tattoo. (Round your answers to three decimal places.) to (c) Find a 99% confidence interval for the difference in proportions of men with a tattoo for the populations with and without an ear pierce. (Use Pwith - Pwithout. Round your answers to three decimal places.) to