Circle the correct answer in 9 and 10 The p-value for a test of significance is

Question

Circle the correct answer in 9 and 10 The p-value for a test of significance is 0.041. Which is the correct interpretation of this number? If the study that was used to collect the data were to be repeated 100 times, then we would obtain data similar to the data collected in about 4 of the studies if the null hypothesis is true. The probability that the null hypothesis is true is 4.1 % The probability that the alternative hypothesis is true is about 96%. If the alternative hypothesis is true then the chances of obtaining data like the observed data is 4.1% This p-value is less than 5% therefore the alternative hypothesis must be true. An investigator was studying a territorial species of Central American termites, Nasutitermes corniger. Forty-nine termite pairs were randomly selected; both members of each of these pairs were from the same colony. Fifty-five additional termite pairs were randomly selected; the two members in each of these pairs were from different colonies. The pairs were placed in petri dishes and observed to see whether they exhibited aggressive behavior. The results are shown in the table below. A Chi-square test for homogeneity was conducted, resulting in xi^2 = 7.638. The expected counts are shown in parentheses in the table. Which of the following sets of statements follows from these results? xi^2 is not significant at the 0.05 level. xi^2 is significant, 0.01

Explanation / Answer

9) p-value = 0.041

The p-value is the level of marginal significance within a statistical hypothesis test representing the probability of the occurrence of a given event. The p-value is used as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected.

option e) is correct

since p-value is less tha level of significance ,we reject the null hypothesis

10)chi ^{2} = 7.638

p-value = 0.006

since p-value is less than level of significane , chi ^{2} is sifgnificant , we reject the null and conclude that they are dependent ,option e) is correct

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