Question

A Seton Hall Sports Poll study from October 2019 found that 60% of respondents agreed that college student athletes should be allowed to have endorsement deals, with 32% disagreeing. The margin of error was 3.8% and n = 714. Assuming a 95% confidence level, calculate the confidence interval and then explain the confidence interval in words.

Answer 1

We are given here that:  60% of respondents agreed that college student athletes should be allowed to have endorsement deals, therefore p = 0.6 is the sample proportion value here.

n = 714 is the sample size.

We are already given a Margin of error value as 3.8% for the 95% confidence level. Therefore the confidence interval here is obtained as:

This is the required 95% confidence interval for the population proportion of respondents agreed that college student athletes should be allowed to have endorsement deals. The interpretation of this is that there is a 95% probability that the true proportion of respondents agreed that college student athletes should be allowed to have endorsement deals lies in the above interval.