Question

On the following random samples of social class, test the null hypothesis that neighborliness does not vary by social class. (Note: Higher scores indicate greater neighborliness.) ANS: F =2.72 (observed); 3.49 (critical), df = 3, 12 .05 LOS.

Lower                          Working                                  Middle                         Upper

    8                                    7                                            6                                  5

    4                                    3                                            5                                  2

    7                                    2                                            5                                  1

    8                                    8                                            4                                  3

State the research problem

State the null and the alternative hypotheses (written and symbolically)

State the decision rule? (.05 LOS)

Calculate the F value

What is the decision?

What is your conclusion (interpretation)?

Supply the source table to support your findings.

Answer 1

Ans:

We want to know if there is difference in neighborliness depending on the social class.

H₀: There is no difference in neighborliness depending on the social class.

H_a:There is difference in neighborliness depending on the social class.

critical F value=FINV(0.05,3,12)=3.49

F value=2.72

(refer below anova table)

Decisio:

Fail to reject the null hypothesis.(as F<3.49)

Conclusion:

There is not sufficient evidence to conclude that neighborliness does not vary by social class