A sample of 125 18-year old girls are weighed in their PE class at school. Of th

Question

A sample of 125 18-year old girls are weighed in their PE class at school. Of the students, 18.5% have a BMI of 26 or greater. According to the literature, 15% of 18 year old girls are expected to have a BMI of 26 or greater. Test whether our sample has a significantly different proportion of girls that have a BMI of 26 or greater. If the p-value is 0.0282, what is the conclusion at the 0.05 of significance? Please explain, thank you!

a.) We accept the alternative hypothesis the proportion of students with BMI>26 is different than 15%.

b.) There is insufficient evidence to reject the null hypothesis, suggesting our sample came from the population where the proportion of students with BMI>26 is 15%.

c.) The mean BMI is significantly different than the hypothesized mean of 26.

d.) We accept the null hypothesis that the proportion of students with BMI>26 is 15%.

e.) There is sufficient evidence to reject the null hypothesis, suggesting the proportion of students with BMI>26 is different than the hypothesized proportion of 15%.

Explanation / Answer

This is the two tailed test. We reject the null hypothesis if the p-value is less than the significance level.

Here we see p-value is less than significance level. Hence we reject the null hypothesis.

e.) There is sufficient evidence to reject the null hypothesis, suggesting the proportion of students with BMI>26 is different than the hypothesized proportion of 15%.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.