Question

Suppose the confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject.

a. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject?

• Yes, all the interval values are greater than 0.60
• No, 0.60 is not contained in the interval
• Yes, 0.60 is not contained in the interval

b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject?

• Yes, all the interval values are greater than 0.60
• No, 0.60 is not contained in the interval
• Yes, 0.60 is not contained in the interval

c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject?

• Yes, all the interval values are greater than 0.60
• No, all the interval values are greater than 0.60
• No, 0.60 is not contained in the interval

Answer 1

We have given  the confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject.

a) Here 60 % does not fall in the above confidence interval. Hence we can not say that 60% of Skyline College students say math is their favorite subject.

Hence the correct answer is No, 0.60 is not contained in the interval.

b) Here the interval contains values more than 0.60 hence we can say that   Yes, all the interval values are greater than 0.60

c) The confidence interval (0.6358, 0.7532) represents the proportion of Skyline College students who say math is their favorite subject and this interval contains values greater than 0.60 hence - No, all the interval values are greater than 0.60

Hope this will help you,Thank you :)