A Study asked subjext \"what is the ideal number if kids for a family\" Do respo
ID: 3257089 • Letter: A
Question
A Study asked subjext "what is the ideal number if kids for a family" Do responses tend to depend on the subjects' religious affirmation? Results of an ANOVA are shown in the printout, ofor the religion categories (A,B,C, Other, or None).
a. Specify the null hypothesis tested in thiois table
A. H0: u1 (not equal to) u2 (not equal to) u3 (not equal to) u4 (not equal to) u5
B. H0: u1=u2=u3=u4=u5
C. H0: u1<u2<u3<u4<u5
D. H0: at least two of the population means are unequal
b. Summerize the assumptions made to conduct this test.
A. There are at least 30 samples and an equal number of samples from each group.
B. There are independent random samples and normal population distributions with equal standard deviation.
C. There are independent random samples and at least 30 samples
D. THere are at least 30 samples with normal population distributions and equal standard deviations
c. Report the F test statistic value and the P-Value for this test
F=
P-Value=
Independent P-Value
A. We have very strong evidence that the ideal numbers are different for at least two of the populations. Do not reject the null hypothesis
B. We have very strong evidence that the ideal numbers are different for at least two of the populations. Reject the null hypothesis
C. We have very weak evidence that the ideal numbers are different for at least two of the populations. Do not reject the null hypothesis
d. Based on (C), can you conclude that every part of religous affiliations has different population means for ideal family size?
A. We cannot conclude that each religious affiliation has a different population mean because there is not enough evidence against the null hypothesis
B. We cannot conclude that each religious affiliation has a different population mean because ANOVA tests only whether at least two are different
C. We can conclude that each religous affiliation has a different population mean because there is evidence against the null hypothesis
Source DF SS MS F P Religion 4 11.28 2.82 3.97 0.003 Error 1298 924.34 0.71 Total 1302 935.62Explanation / Answer
a. Specify the null hypothesis tested in this table
ANSWER: B. H0: u1=u2=u3=u4=u5
b. Summerize the assumptions made to conduct this test.
ANSWER: B. There are independent random samples and normal population distributions with equal standard deviation.
c. Report the F test statistic value and the P-Value for this test
F = 3.97
P-Value = 0.003
P-Value < 0.05, i.e 0.003 < 0.05, Therefore Reject Ho at 5% level of significance.
ANSWER: B. We have very strong evidence that the ideal numbers are different for at least two of the populations. Reject the null hypothesis.
d. Based on (C), can you conclude that every part of religous affiliations has different population means for ideal family size?
ANSWER:
C. We can conclude that each religous affiliation has a different population mean because there is evidence against the null hypothesis.
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