Question

en 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 she calculated a P value of 0.047 for the sample.

(a) At a 5% level of significance, is there evidence that Jen 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 α if

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

Answer 1

## Q ) Jen 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 she calculated a P value of 0.047 for the sample.

Answer :

we have given :

claim : Jen thinks a certain potato chip maker is putting fewer chips in their regular bags of chips.

n = sample size = 23

p value = 0.047

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

Answer : Yes

( result is significant if p value is less than α value using p value approach here p value is less than α value result is significant that is claim is satisfy )

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

Answer : Yes ,

( result is significant if p value is less than α value using p value approach here p value is less than α value result is significant that is claim is satisfy )

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

Answer : correct option is C

C. the P - value is less than α.

( Here for  α = 5 % and 10 % result is significant , because p value is less than α value

claim is satisfy for α = 5 % and 10 % )