Question

It is believed that students gain weight, on average, during their first year of college. A nutritionist tested this claim, randomly selecting 50 university freshmen and measuring their weight gain during the semester. Her hypotheses were H0:μ=0 and Ha:μ>0. She used the 5% level of significance and got a P-value of 0.098. Fill in the blanks so as best to express the conclusion of this hypothesis test:

Answer 1

There is insufficient evidence to conclude that college freshmen gain weight during their first year of college.

Explanation:

Last part of the question is missing. Full question is:

It is believed that students gain weight, on average, during their first year of college. A nutritionist tested this claim, randomly selecting 50 university freshmen and measuring their weight gain during the semester. Her hypotheses were H0:μ=0 and Ha:μ>0. She used the 5% level of significance and got a P-value of 0.098. Fill in the blanks so as best to express the conclusion of this hypothesis test:

Fill in the blanks so as best to express the conclusion of this hypothesis test: There is [-----] evidence to conclude that college freshmen [-----] weight during their first year of college.

1. sufficient 2. insufficient 3. gain 4. do not gain

H0: μ=0 (college freshmen do not gain weight)

Ha: μ>0 (college freshmen gain weight)

Significance level=0.05

P-value=0.098

This is one tailed hypothesis test. Since P-value>Significance level, we fail to reject the null hypothesis. Thus there is not significant evidence that freshmen gain weight during their first year of college at 0.05 significance level.