A researcher wants to know if people from different social classes (lower, working, middle, upper classes) vary in their support for same-sex marriage.  The researcher measured the attitudes of people from different social classes toward same-sex marriage by asking if they think homosexuals should have right to marry (1=strongly disagree, 2=disagree, 3=agree, 4=strongly agree).  The researcher hypothesized that social classes will vary significantly in their support for same-sex marriage.  To test the hypothesis, the researcher conducted a one-way ANOVA and obtained the following results. ANOVAHOMOSEXUALS SHOULD HAVE RIGHT TO MARRY  Sum of SquaresdfMean SquareFSig.Between Groups3.54431.181.496.685Within Groups2202.3499242.383  Total2205.892927    Based on the results in the table above, can the researcher conclude that his hypothesis is supported and that there is a significant difference across different social classes in their support for same-sex marriage? Why or why not? Justify your reasoning.

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Asked Oct 15, 2019
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A researcher wants to know if people from different social classes (lower, working, middle, upper classes) vary in their support for same-sex marriage.  The researcher measured the attitudes of people from different social classes toward same-sex marriage by asking if they think homosexuals should have right to marry (1=strongly disagree, 2=disagree, 3=agree, 4=strongly agree).  The researcher hypothesized that social classes will vary significantly in their support for same-sex marriage.  To test the hypothesis, the researcher conducted a one-way ANOVA and obtained the following results.

 

ANOVA

HOMOSEXUALS SHOULD HAVE RIGHT TO MARRY 

 

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

3.544

3

1.181

.496

.685

Within Groups

2202.349

924

2.383

 

 

Total

2205.892

927

 

 

 

 

Based on the results in the table above, can the researcher conclude that his hypothesis is supported and that there is a significant difference across different social classes in their support for same-sex marriage? Why or why not? Justify your reasoning. 

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Expert Answer

Step 1

The hypotheses for the given problem is given below:

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Null hypothesi s: 'r=r1 = 71 = 11 °H That is,There is no signi ficant difference across social | classes in their support for same sex marriage Alternative hypothesis: H: Not all the means are equal That is,There is signifi cant difference across social | classes in their support for same sex marriage

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Step 2

From the given information, it is known that the F-statistic is 0.496 and the p-va...

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Rejection rule: If p-value significance level, reject the null hypothesis If p-value> significance level, do not reject the null hypothesis. w ww.

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Hypothesis Testing

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