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A Sporting goods manufacturer wants to determine if there is a relationship betw

ID: 3228025 • Letter: A

Question

A Sporting goods manufacturer wants to determine if there is a relationship between gender and the riskiness of the sport each engages in. Over a 6-month period, she records whether the equipment purchased is for a high-risk sport (white water kayaking, skydiving, etc.) or a low-risk sport (badminton, swimming, volleyball, etc.) and whether the purchaser was male or female. She records her data in the following table. Test at alpha .05 - are gender and riskiness independent? Write out the null hypothesis and the research hypothesis. H_o: H_a: Test the hypothesis; report Chi Square obtained, Chi Square CV, df and Contingency Coeficient. Chi Square = CV = df = C - Is there a significant association and, if so, at what alpha level? Yes/No (choose one) P .05 (choose one) Write an interpretive sentence about the conclusion you determine from the results - indicating whether men or women engage in riskier sports?

Explanation / Answer

Answer:

1.

Ho: There is no relationship between gender and the riskness of the sport engaged in.

H1: There is relationship between gender and the riskness of the sport engaged in.

2.)

gender * resk Crosstabulation

Count

resk

Total

High

Low

gender

Men

22

37

59

Women

18

28

46

Total

40

65

105

Chi-Square Tests

Value

df

Asymptotic Significance (2-sided)

Exact Sig. (2-sided)

Exact Sig. (1-sided)

Pearson Chi-Square

.037a

1

.847

Continuity Correctionb

.000

1

1.000

Likelihood Ratio

.037

1

.847

Fisher's Exact Test

1.000

.503

Linear-by-Linear Association

.037

1

.848

N of Valid Cases

105

a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 17.52.

b. Computed only for a 2x2 table

Symmetric Measures

Value

Approximate Significance

Nominal by Nominal

Contingency Coefficient

.019

.847

N of Valid Cases

105

Chi square =0.037

Chi square CV=3.841

Df=1

C=0.019

3).

No.

4).

There is no evidence to conclude association that between gender and the riskness of the sport engaged in.

gender * resk Crosstabulation

Count

resk

Total

High

Low

gender

Men

22

37

59

Women

18

28

46

Total

40

65

105

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