Question

Using ANOVA Assess attitudes toward same-sex marriages of non-politician republicans and democrats Note:

0 disagree with same-sex marriages and 10 Agree with same-sex marriages

Republicans

6,5,3,7,4

Democrats

8,6,9,8,7

Independent

6,7,5,6,5

Answer 1

ANSWER::

For this given data this data does not follow normality and also this data is the rank of data so we used a here nonparametric test KRUSKAL WALLIS TEST. it is similar to ANOVA.

using Minitab software

Hypothesis

H0: The means of all groups are equal

H1: Not all the means are equal

Kruskal-Wallis Test: C2 versus C1

Kruskal-Wallis Test

C1 N Median Ave Rank Z
Democrats 5 8.000 12.1 2.51
Independent 5 6.000 6.8 -0.73
Republicans 5 5.000 5.1 -1.78
Overall 15 8.0

H = 6.67 DF = 2 P = 0.036
H = 6.90 DF = 2 P = 0.032 (adjusted for ties)

here both p-value <0.05 so we reject the null hypothesis and say that all means are not equal

Conclusions: Attitudes toward same-sex marriages of non-politician republicans and democrats are different

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