Question

Above is a bootstrap of students that are dog owners.
A newspaper reported that 35% of Americans are dog owners. Is there evidence that the proportion of students that are dog owners in the study is different from the national percentage? Explain why or why not?

Bootstrap Histogram for Dog Owners 95% Confidence Interval 0.298279 0.342413 0.382409 1410 -Г 120 100 E 80 60 40 20 0.28 0.30 0.32 0.34 0.36 0.38 0.40 Proportions

Answer 1

According to newspaper reports 35% of Americans are dog owners.

From the above bootstrap we can see : at 95% confidence interval

Lower limit is 0.298279 and Upper limit is 0.382409

Since 0.35 or 35% lies in the above confidence interval .

Hence we can say No there is no evidence that the proportion of students that are dog owners in the study is different from the national percentage