Question

Lindsey thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. From a random sample of 15 bags of potato chips she calculated a P value of 0.056 for the sample.

(a) At a 5% level of significance, is there evidence that Lindsey is correct? (Type: Yes or No):

(b) At a 10% level of significance, is there evidence that she is correct? (Type: Yes or No):

(c) In a statistical test of hypotheses, we say that the data are statistically significant at level ? if

A. ? is small.

B. the P - value is larger than ? .

C. ?=0.05 .

D. the P - value is less than ? .

Answer 1

(a) since p-value(0.056) > level of significance(0.05), we fail to reject the null hypothesis that there is the difference between the means and conclude that a significant difference does not exist.

No, Lindsey is not correct.

(b)But, if p-value(0.056)<level of significance(0.10), we reject the null hypothesis that there's no difference between the means and conclude that a significant difference does exist.

Yes, she is correct.

(c) In a statistical test of hypotheses, we say that the data are statistically significant at level ? if

(D) the p-value is less than ?.