In each of the following problems, a conclusion to a hypothesis test is presente
ID: 3183210 • Letter: I
Question
In each of the following problems, a conclusion to a hypothesis test is presented. Determine whether each statement is permissible. a. The value of the test statistic does not lie in the rejection region. Therefore, we accept the null hypothesis. b. The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest the null hypothesis is not true. c. The value of the test statistic does not lie in the rejection region. Therefore, there is evidence to suggest the null hypothesis is true. d. The value of the test statistic lies in the nonrejection region. Therefore, there is no evidence to suggest the alternative hypothesis is true. e. The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest the alternative hypothesis is true. f. The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest the alternative hypothesis is true. Education and Child Development The College Board reported that the mean cumulative SAT score (Critical Reading, Mathematics, and Writing) for 2013 college-bound seniors was 1498.^3 Officials from the Pennsylvania State System
Explanation / Answer
please note that if the value of the t statistic lies in the rejection region then we reject the null hypothesis . if the value is in the non rejection region then we accept the null hypothesis
a) true , value doesnt lie in rejectionn region , hence we accept the null
b) true , the value is in rejection region , hence we reject null in favor of alternate
c) true , value not in rejection region , so we accept null
d)true , value not in rejection region , so we accept null
e) true , value is in rejection region , hence we reject null in favor of alternate
f) true , value is in rejection region , hence we reject null in favor of alternate
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