Question

Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.

Answer 1

The answer is "0.1040"

Explanation:

Margin of error
`=Z_{(\alpha)/(2)} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\`

`=Z_{(0.10)/(2)} \sqrt{((36)/(60)(1-(36)/(60)))/(60)}\\\\=1.645 * 0.0632\\\\=0.1040\\\\`