A study is done to evaluate the readability of a pamphlet that is being develope

Question

A study is done to evaluate the readability of a pamphlet that is being developed as part of an addictions awareness campaign. People over the age of ten are able to comprehend 75% of an earlier version’s content, on average. The goal of this study is to compare the readability of the new version to the previous version. After reading the new version of the pamphlet, a representative group of study participants complete a test scored out of 100 to assess their comprehension of the information in the new version. Based on the test scores (x-bar=73.6), a p-value of 0.12 is computed for the test of H0: = 75 versus Ha: 75.

1. Will a 85% confidence interval for contain 75 based on these data?

a. Yes

b. No

Will a 90% confidence interval for contain 75 based on these data?

a. Yes

b. No

Please show your work

Explanation / Answer

Solution-

p-value of the test = 0.12

In 85% confidence interval, level of significance = 0.15

So, p-value < 0.15 null hypothesis is not rejected and thus mean is not equal to 75.

SO confidence interval would not contain 75.

In 90% confidence interval, level of significance = 0.1

So, p-value > 0.1 null hypothesis is rejected and thus mean is equal to 75.

SO confidence interval would contain 75.

TY!

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