How many females are in your sample? How many males? What proportion of your sample is female? What proportion of your sample is male

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Question

1)     How many females are in your sample? How many males? What proportion of your sample is female? What proportion of your sample is male?

2)     Is the proportion of women at StatCrunchU equal to the proportion of men at StatCrunchU?

    1. Show that the conditions are met for the use of a normal model for a hypothesis test (np > 10 and n(1 - p) >10, where p is from the null hypothesis).
    2. Test the claim that the proportion of females at StatCrunchU is equal to the proportion of men. Document your hypothesis test in hypothesis test format in your submission.
    3. Write a conclusion to your hypothesis test referring to females at StatCrunchU.
    4. Explain what the P-value means as a probability that refers to random samples of 50 StatCrunchU students.

3)     What are the proportions of females and males at StatCrunch U?

    1. Show that the conditions are met for the use of a normal model for a confidence interval (count of successes and failures are greater than 10, as in 2 a).
    2. Determine a range of plausible values for this proportion by using your choice of technology. Document your methods below, using screen short from the    calculator or other technology as needed.
    3. Interpret your interval referring to females at StatCrunchU.
    4. Explain what is meant by "95% confident."

4)     Does your confidence interval support your hypothesis test? Explain your reasoning in detail.

 

 

 

 

 

Gender

Class

Hours

Work

Loans

CC Debt

Female

2

11

22

7122

2202

Female

4

9

26.5

15367

4139

Female

2

16

14.5

8164

3205

Female

4

15

15

0

7611

Male

4

12

19

16014

8959

Male

1

16

0

0

1658

Female

3

9

24.5

11997

4418

Female

1

16

17.5

2543

0

Male

4

20

6.5

14118

6596

Female

1

17

0

0

1303

Male

4

14

0

15506

8273

Male

3

14

0

0

2530

Female

3

13

0

11371

2784

Male

1

15

20

4912

1720

Female

4

7

32

14494

8152

Female

2

13

21

9661

2008

Male

3

21

0

0

5173

Female

2

16

0

0

2787

Female

3

6

0

0

3474

Female

2

14

0

8433

2450

Male

2

18

0

7403

3003

Female

3

15

0

0

3101

Male

1

13

16.5

5475

1673

Female

4

12

0

18393

5113

Male

4

19

0

0

7604

Female

2

12

0

0

1663

Female

1

17

0

2874

1273

Female

4

12

0

0

4658

Male

2

14

20

7669

3144

Male

2

19

0

0

2531

Female

1

16

15.5

4723

1192

Female

4

20

12.5

15756

3300

Male

4

15

0

17188

3743

Female

2

18

0

0

2205

Male

1

15

0

0

1539

Female

1

15

0

0

1522

Male

1

18

7

2882

1516

Female

2

17

17

7514

2491

Female

1

15

0

0

1242

Male

4

6

33

17282

11155

Male

2

15

0

0

2477

Female

3

9

27.5

11757

3781

Female

3

12

0

11468

2594

Female

3

6

41

11949

3038

Female

3

15

0

13528

3657

Female

4

11

24

0

0

Female

2

14

0

0

0

Female

4

16

14.5

15590

4740

Female

4

15

0

0

3369

Female

2

15

0

7458

2184

 

 

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