Link Kit and Casey are classmates at Milpitas High School, and they are each attempting to estimate the proportion of students at their high school who can play at least one musical instrument. Casey selects a random sample of 50 students to survey and finds the sample proportion to be 0.20. Kit selects a random sample of 150 students to survey and also obtains a sample proportion of 0.20. Casey uses his sample proportion to construct a 95% confidence interval, and Kit uses his sample proportion to construct a 99% confidence interval. Who will have the wider confidence interval? O Both intervals will have the same width since the samples were selected from the same population. O Both intervals will have the same width since the sample proportions are the same. O Kit O Both intervals will have the same width since the sample proportions are the same and the samples were selected from the same population. O Casey