Write the word or phrase that best completes each statement or answers the quest
ID: 3155664 • Letter: W
Question
Write the word or phrase that best completes each statement or answers the question. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief. Test the given claim using the traditional method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution. A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 At the 0.01 significance level, test the claim that the mean weight is 14 ounces.Explanation / Answer
5) THE NULL HYPOTHESIS = H0 = U = 14
THE ALTERNATE HYPOTHESIS = HA= U>14
N = 8
ALPHA = 0.01
THEREFORE THE DEGREE OF FREEDOM = 8-1 = 7
THEREFORE FROM T TABLE THE CRITICAL REGION = T>2.99
TEST STATIC = (X-MEAN)/STANDARD DEVIATION /SQRT(N)
NOW WE NEED TO FIND THE MEAN AND STANDARD DEVIATION OF DATA
13.6, 13.7, 13.8, 14, 14.1, 14.2, 14.4, 14.6
TEST STATIC = (14.05-15)/(0.34/SQRT(7) = 0.390
AS THE TEST STATIC = 0.390<2.99
THEREFORE WE WILL ACCEPT THE NULL HYPOTHESIS.
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