The data given to the right includes data from 40 candies, and 5 of them are red. The company that makes the candy claims that 34% 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 34%?

Construct a 90% confidence interval estimate of the population percentage of candies that are red.

%

(Type an integer or decimal rounded to one decimal place asneeded.)

Is the result consistent with the 34% rate that is reported by the candymaker?

a)No, because the confidence interval doesnotinclude 34%.

b)Yes, because the confidence interval includes 34%.

Red Blue Brown Green Yellow

0.887 0.709 0.844 0.963 0.783

0.922 0.783 0.731 0.865 0.774

0.977 0.995 0.922 0.707 0.889

0.919 0.796 0.934 0.903 0.896

0.779 0.758 0.848 0.763 0.855

0.863 0.898 0.723 0.711

0.806 0.926 0.934 0.895

0.753 0.829 0.716

0.748 0.704

0.721

0.728