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STATS 201 Thomas Edison State College statistics Frequency Testing Questions

Question Description

Practice Exercises 5

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Complete the following practice problems. The goal of the practice exercises is to directly engage in course content and to help prepare for the written assignments and the final project. The practice exercises will be scored on completeness and effort of the attempt and not the percent correct. A reasonable and complete submission will receive full credit for the activity. Provide as much evidence as possible for your work on the assignment. Your mentor will provide holistic feedback based on your submission.

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For the following problems, use the chi-square solution sheet from Appendix E. Round expected frequency to two decimal places. You will need to complete steps a through h. Submit the solution sheet to your mentor along with the Practice Exercises 5 worksheet.

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  1. A 6-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data in the table below are the result of the 120 rolls.

Face Value

Frequency

Expected Frequency

1

15

2

29

3

16

4

15

5

30

6

15

  1. The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

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Race

Lake Tahoe Frequency

Manhattan Frequency

Asian Indian

131

174

Chinese

118

557

Filipino

1045

518

Japanese

80

54

Korean

12

29

Vietnamese

9

21

Other

24

66

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