Determine if there is an association between gender and age group. Was gender evenly distributed across age groups? State the null and alternative hypotheses. H0:   HA:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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100%

 

 

Low Carbohydrate

Low Fat

Mediterranean

TOTAL

 

n

%

n

%

n

%

N

%

Gender

26

 

26

 

26

 

78

 

Female

15

57.7

15

57.7

14

53.8

44

56.44

Male

11

42.3

11

42.3

12

46.2

34

43.6

Age Group

 

 

 

 

 

 

 

 

18-34 years

7

27.9

7

26.9

6

23.1

20

25.6

35-40 years

13

50

14

15.4

15

57.7

42

53.8

50+ years

6

23.1

5

19.2

5

19.2

16

20.5

BMI Category

 

 

 

 

 

 

 

 

Normal weight

9

34.6

6

23.1

7

26.9

22

28.2

Overweight

11

42.3

13

50

12

46.2

36

46.2

Obese

6

23.1

7

26.9

7

26.9

20

25.6

 

 

 

Low Carbohydrate

Low Fat

Mediterranean

TOTAL

 

Mean
(sd)

95% CI
(LL,UL)

Mean
(sd)

95% CI
(LL,UL)

Mean
(sd)

95% CI
(LL,UL)

Mean
(sd)

95% CI
(LL,UL)

Age

39.58

(10.257)

(35.54,43.27)

39.27

(9.594)

(35.58,42.54)

39.69

(10.403)

(35.88,43.65)

39.51

(9.961)

(37.17,41.67)

Height

168.19

(7.255)

(165.62,171.04)

172.88

(11.347)

(168.73,177.31)

166.77

(9.872)

(162.96,170.08)

169.28

(9.872)

(167.19,171.47)

Weight

 

 

 

 

 

 

 

 

Baseline

76.119

(9.8230)

(72.554,79.969)

82.577

(18.8938)

(75.500,89.961)

77.346

(8.6345)

(74.160,80.769)

78.681

(13.3932)

(76.086,81.757)

12 weeks

73.192

(10.2942)

(69.401,77.088)

79.435

(18.8373

(72.178,86.786)

71.881

(9.2598)

(68.681,75.486)

74.836

(13.7279)

(72.172,78.013)

Body Mass Index

 

 

 

 

 

 

 

 

Baseline

26.974

(3.5953)

(25.651,28.301)

27.354

(3.8568)

(25.860,28.798)

27.897

(2.9985)

(26.864,29.092)

27.408

(3.477)

(26.643,28.182)

12 weeks

25.934

(3.6975

(24.552,27.302)

26.297

(3.9762)

(24.761,27.720)

25.883

(2.8153)

(24.874,26.991)

26.038

(3.490)

(25.277,26.831)

Weight loss

 

 

 

 

 

 

 

 

Determine if there is an association between gender and age group.
Was gender evenly distributed across age groups?

  1. State the null and alternative hypotheses.
    H0:  
    HA:  

 

  1. What statistical test and the test statistic is appropriate to answer this research question?

Name of the statistical test:

Letter used for the test statistic:

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