A nutritionist would like to investigate the proportion of adult Americans who c

Question

A nutritionist would like to investigate the proportion of adult Americans who consume salad at least once per week. Consider the following hypotheses:

H0: 80% of adult Americans eat at least one salad per week.

Ha: More than 80% of adult Americans eat at least one salad per week.

A. Explain what a Type I error would be in terms of this scenario.

B. Give at least one consequence to the nutritionist of committing a Type I error.

C. Explain what a Type II error would be in terms of this scenario.

D. Give at least one consequence to the nutritionist of committing a Type II error.

Explanation / Answer

In statistical hypothesis testing, a typeI error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis (a "false negative").

A. It is to accept that more than 80% eat salad but actually it is at least

B. He will not target that Market

C. It is to accept that at least 80% eat salad but actually it more than 80%

D. He will loose the potential market

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