Question

. A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised amount of 12 ounces. In order to test the null hypothesis that the average chip weight is 12 ounces per bag vs. the alternative hypothesis that the average chip weight is less than 12 ounces per bag, a random sample of 38 bags were selected. The resulting data produced a p - value of 0.055.

(a) At a 5% level of significance, should the null hypothesis be rejected? (Type: Yes or No):

(b) At a 10% level of significance, should the null hypothesis be rejected? (Type: Yes or No):

2. In a statistical test of hypotheses, saying that ''the evidence is statistically significant at the .05 level'' means A. the p - value is at least .05. B. α is more than .25. C. the p - value is less than .05. D. α=.10.

Answer 1

Answer 1

(A) p value is 0.055 and significance level is 0.05, so null hypothesis should not be rejected because the p value(0.055) is greater than 0.05. Result is insignificant.

NO

(B) YES, because the p value 0.055 is less than 0.10 level of significance.

Answer 2

the evidence is statistically significant at the .05 level, this means that the p value must be less than 0.05, then only we can say that there the evidence is statistically significant at the .05 level.

Therefore, option C is correct

the p - value is less than .05