24/1.68 Points] DETAILS PREVIOUS ANSWERS UHSTAT4 10.E.071. 210 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 59 students. (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 three decimal places.) (c) Calculate a 90% confidence interval for the population proportion. (Round the answer to three decimal places.) (d) Calculate a 95% confidence interval for the population proportion. (Round the answer to three decimal places.) (e) Calculate a 98% confidence interval for the population proportion. (Round the answer 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.) As the confidence level is increased, the width of the interval decreases. As the confidence level is increased, the width of the interval increases. 4 As the confidence level is decreased, the width of the interval decreases. As the confidence level is decreased, the width of the interval increases. X