Question

the data given to the right includes data from 46 candies, and 9 of them are red. the company that makes the candy claims that 31% of its candies are red. use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. what do you conclude about the claim of 31%?

10% < p < 29.2%
(type an integer or decimal rounded to one decimal place as needed.)

is the result consistent with the 31% rate that is reported by the candy maker?

yes, because the confidence interval includes 31%.

no, because the confidence interval does not include 31%.

Explanation:

Step1: Analyze the confidence interval

The confidence interval is \(10.0\%

Step2: Check if 31% is in the interval

Since \(31\%>29.2\%\), 31% is not within the confidence interval.

Answer:

No, because the confidence interval does not include 31%.