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A newspaper claimed that difficulty with sleeping is associated with depression. To test this hypothesis, you recruit a random sample of second year undergraduate students

  1. A newspaper claimed that difficulty with sleeping is associated with depression. To test this hypothesis, you recruit a random sample of second year undergraduate students and obtain information on difficulty with sleeping ('Slp_Trouble') and depression status ('Depressed'). Conduct an appropriate statistical test to examine the association between the sleep trouble and depression. Significance is set at 0.05 for a two-tail test. (14 Marks)

Note: Depressed: 1 = Excellent, 2 = Good, 3 = Fair, 4 = Poor

Slp_Trouble: 0 = No, 1 = Yes

Provide all R codes used to answer this question:

Provide null and alternative hypotheses:

Is the assumption/requirement for this statistical test met? Explain:

Test statistic value:

P-value:

Based on the p-value, do you reject or fail to reject the null hypothesis? Explain

data:

ID

Sex

Age

Weight

Height

Alcohol_Use

TimetoSleep

Time_Getup

Sleep_Hours

Sleep_Quality

Slp_Trouble

Concentration

Depressed

Effort

Hopeful

Fearful

Happy

Lonely

96958

2

20

200

182

1

45

9

5

3

0

2

1

3

4

3

3

2

45859

2

30

119

158

0

15

7

6.5

2

0

1

2

3

3

1

3

1

17992

1

21

200

187

1

10

8

10

2

0

2

1

3

4

1

3

1

90751

2

19

170

160

1

3

6

7

2

0

1

1

1

2

3

3

3

87989

2

19

120

160

1

40

7.5

6

2

0

3

3

2

2

2

2

3

14335

2

19

180

168

1

20

8

5

2

0

3

2

2

2

2

3

1

6310692

1

21

174

195

0

7

6

7

2

0

1

1

1

1

1

3

3

43766

2

19

175

162

0

20

8

9

2

0

2

2

1

3

3

3

3

42788

2

20

135.8

165

1

30

10

5

4

0

2

1

3

4

3

4

2

65881

1

20

140

180

0

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2

1

2

2

3

3

3

3

2

61556

1

27

190

180

1

30

7

7.5

1

1

2

1

2

3

1

3

1

6546204

2

19

120

165

1

45

8

8

2

1

3

2

2

2

2

3

2

70584

2

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168

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3

1

4

1

92786

2

24

130

158

0

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3

2

2

2

2

94860

2

19

123

165

1

240

7.5

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3

1

2

3

3

3

2

3

2

34732

1

18

189

183

1

60

12

9

3

0

4

1

4

4

3

3

1

95995

1

18

165

170

0

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1

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1

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3

69567

1

20

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180

0

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1

6452361

1

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183

1

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2

19

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170

1

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2

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1

6403521

1

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140

180.34

0

120

12

6

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4

3

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7100

1

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200

182

1

45

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1

34047

2

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115

167

1

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2

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1

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2

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165

1

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8.5

2

0

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2

3

2

27329

2

19

128

180

1

40

9

6

2

0

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2

3

3

1

2

2

20019

1

19

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182

1

30

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6

2

0

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1

1

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1

3

1

14921

2

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175

1

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0

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1

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3

2

2

38235

1

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186

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2

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1

2

3

2

2

2

56552

2

19

118

160

0

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5

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2

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4

2

3

2

69567

1

20

160

180

0

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7

2

0

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1

3

3

3

3

1

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2

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60

157

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2

6486955

2

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160

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1

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2

4

2

16044

2

19

140

158

0

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10

10

1

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2

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2

67302

2

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174

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72394

2

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0

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154.32

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154.94

1

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162.5

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70755

2

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105

167

0

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2

2

17894

2

25

174

160

1

60

10

5

2

0

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2

2

1

3

3

3

33251

1

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170

177.8

1

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0

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1

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41960

1

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235.9

184

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85707

2

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118

174

1

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2

3

2

3

22455

1

19

165

176

1

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83063

2

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154.94

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26910

2

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168

160.02

0

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6.5

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58590

1

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1

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80325

2

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139

170

1

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1

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6502819

2

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2

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2

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2

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73227

2

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112

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2

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1

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0

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6

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1

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1

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1

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2

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165.1

1

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2

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162

0

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9

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2

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1

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1

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1

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1

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164

0

45

9

10

3

1

3

4

3

1

3

1

4

13868

2

21

147.71

167

1

10

7

6

2

1

2

2

2

3

2

3

1

72096

2

19

173

162

1

20

8

5

2

0

1

2

2

3

3

4

2

95151

2

20

165

165

0

15

7

7

2

0

2

3

2

3

2

3

3

12925

2

19

115

160

0

15

10

7

2

0

1

2

2

1

3

2

2

30367

1

19

193

182.8

0

15

15

9

1

0

3

1

4

4

2

4

1

20608

2

19

180

163

1

45

10

6

2

0

2

2

2

2

1

4

2

32626

2

19

115

160

0

15

10

8

2

0

1

3

1

2

1

3

1

89287

2

19

140

179

0

45

9

9

2

0

2

1

1

1

1

4

1

977

2

18

211.6

176

0

10

9

8

1

0

2

1

3

4

1

3

2

95896

2

36

150

173

1

15

7

9

1

0

3

3

2

2

2

2

1

91221

2

19

124

162

1

10

6

8

1

0

1

1

1

4

1

4

1

83382

2

19

140

170

1

35

11

7

2

1

3

3

2

3

2

3

1

43543

2

19

118

163

0

30

7

7

2

0

2

1

4

3

4

3

3

88458

1

19

160

170

1

20

9

8

2

0

2

2

1

4

1

4

3

75586

2

19

150

170

1

15

7

7

1

0

3

1

2

3

3

4

1

54870

1

19

160

175

0

10

8

6

3

1

3

4

3

2

2

1

3

196

2

19

140

161.5

0

120

7

8

4

1

3

1

4

3

4

4

3

92383

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19

120

164

1

30

9

8

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1

2

1

2

2

1

2

2

91468

1

19

200

173

0

300

8

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2

0

4

1

4

4

4

4

1

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