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Source DF SS MS F P Religion 4 10.73 2.68 3.72 0.005 Error 1298 929.97 0.72 Total 1302 940.70 A study asked subjects "What is the ideal number of kids for a family?" Do responses tend to depend on the subjects' religious affiliation? Results of an ANOVA are shown in the printout, for religion categories (A, B, C, Other, or None). Complete parts a through d. a. Specify the null hypothesis tested in this table. A. H0: μ1 < μ2 < μ3 < μ4 < μ5 B. H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 C. H0: μ1 = μ2 = μ3 = μ4 = μ5 D. H0: at least two of the population means are unequal b. Summarize the assumptions made to conduct this test. A. There are independent random samples and at least 30 samples. B. There are at least 30 samples with normal population distributions and equal standard deviations. C. There are independent random samples and normal population distributions with equal standard deviations. D. There are at least 30 samples and an equal number of samples from each group. c. Report the F test statistic value and the P-value for this test. F = 3.72 P-value = 0.005 Interpret the P-value. A. We have very weak 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. Do not reject the null hypothesis. C. 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 pair of religious affiliations has different population means for ideal family size? A. We can conclude that each religious affiliation has a different population mean because there is 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 cannot conclude that each religious affiliation has a different population mean because there is not enough evidence against the null hypothesis.

Source
DF
SS
MS
F
P
Religion
4
10.73
2.68
3.72
0.005
Error
1298
929.97
0.72
Total
1302
940.70

A study asked subjects "What is the ideal number of kids for a family?" Do responses tend to depend on the subjects' religious affiliation? Results of an ANOVA are shown in the printout, for religion categories (A, B, C, Other, or None).

Complete parts a through d.

a. Specify the null hypothesis tested in this table.
A. H0: μ1 < μ2 < μ3 < μ4 < μ5
B. H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5
C. H0: μ1 = μ2 = μ3 = μ4 = μ5
D. H0: at least two of the population means are unequal

b. Summarize the assumptions made to conduct this test.
A. There are independent random samples and at least 30 samples.
B. There are at least 30 samples with normal population distributions and equal standard deviations.
C. There are independent random samples and normal population distributions with equal standard deviations.
D. There are at least 30 samples and an equal number of samples from each group.

c. Report the F test statistic value and the P-value for this test.
F = 3.72
P-value = 0.005

Interpret the P-value.
A. We have very weak 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. Do not reject the null hypothesis.
C. 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 pair of religious affiliations has different population means for ideal family size?
A. We can conclude that each religious affiliation has a different population mean because there is 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 cannot conclude that each religious affiliation has a different population mean because there is not enough evidence against the null hypothesis.

Added by Andr-S L.

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