SCENARIO 10-14 The use of preservatives by food processors has become a controversial issue.Suppose two preservatives are extensively tested and determined safe for use in meats.A processor wants to compare the preservatives for their effects on retarding spoilage.Suppose 15 cuts of fresh meat are treated with preservative I and 15 are treated with preservative II, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat.The results are summarized in the table below.
-Referring to Scenario 10-14, suppose = 0.05.Which of the following represents the result of the relevant hypothesis test?
A)The alternative hypothesis is rejected.
B)The null hypothesis is rejected.
C)The null hypothesis is not rejected.
D)Insufficient information exists on which to decide.

Question

SCENARIO 10-14 The use of preservatives by food processors has become a controversial issue.Suppose two preservatives are extensively tested and determined safe for use in meats.A processor wants to compare the preservatives for their effects on retarding spoilage.Suppose 15 cuts of fresh meat are treated with preservative I and 15 are treated with preservative II, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat.The results are summarized in the table below. 
-Referring to Scenario 10-14, suppose  = 0.05.Which of the following represents the result of the relevant hypothesis test?
A)The alternative hypothesis is rejected. 
B)The null hypothesis is rejected. 
C)The null hypothesis is not rejected. 
D)Insufficient information exists on which to decide.

Quizplus · Accepted Answer

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence that the two preservatives have different effects on retarding spoilage. Therefore, the null hypothesis is rejected. With a significance level of 0.05, if the p-value is greater than 0.05, we fail to reject the null hypothesis, and if it is less than or equal to 0.05, we reject the null hypothesis. In this case, the p-value is not given, but since the question asks which statement represents the result of the relevant hypothesis test, the best answer is C- the null hypothesis is not rejected, which means that there is not enough evidence to conclude that one preservative has a significant effect on retarding spoilage over the other.

SCENARIO 10-14 the Use of Preservatives by Food Processors Has