Question

1) Dan thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. From a random sample of 23 bags of potato chips he calculated a P value of 0.046 for the sample.

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

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

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

A. the P - value is larger than ?α.
B. ?=0.05
C. ? is small.
D. the P - value is less than ?.

Answer 1

Solution:

a)

Therefore, P-value =0.046 < 0.05, Reject the null hypothesis.

Yes. At a 5% level of significance, is there evidence that Dan is correct.

b)

Therefore, P-value =0.046 < 0.10, Reject the null hypothesis.

Yes. At a 10% level of significance, is there evidence that he is correct.

c)

In a statistical test of hypotheses, we say that the data are statistically significant at level α if  the P - value is less than ?.

Option D is correct.