UNIVERSITY OF MINNESOTA, MORRIS

INTRODUCTION TO STATISTICS

(GENED WEB)

MATH. 1601

 

PRACTICE TEST

SUMMER, 1999

 

 

 

 

 

 

FOR INSTRUCTOR'S USE

 

1.

 

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2.

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3.

 

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4.

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5.

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TOTAL

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Question 1.

(5 Points) The May 13-17 1999 Program on International Policy Attitudes polled 1206 adults in the USA, and asked "Do you think NATO made the right decision or the wrong decision by starting the airstrikes against Yugoslavia?". Suppose approximately 51 percent of the respondents said they made the wrong decision. Does this survey provide evidence that a majority of USA adults think NATO made the wrong decision?

Do a hypothesis test to address this question.

 

Question 2.

(5 points) Insect traps of two colors (white, green) were placed in a small grain field. The numbers of bugs caught in the white traps are given below followed by the number in the green traps.

Numbers of bugs caught in white traps: 21 12 14 17 13 17

Numbers of bugs caught in green traps: 37 32 15 25 39 41

Some Summary Statistics:

N

MEAN

STANDART

DEVIATION

white

6

15.67

3.33

green

6

31.50

9.91

 

Is there evidence that there is a difference in the effectiveness of the traps to catch bugs? Use a hypothesis test to address this question. Give all steps and reasoning.

 

Question 3.

(5 points) A recent Gallup Poll found that 47 percent of 761 respondents had a favorable impression of the National Rifle Association. In a May 1995 study of

743 respondents it was found that 44 percent of respondents had a favorable impression of the NRA. Has the favorable impression proportion changed from 1995 to today?

Perform a confidence interval to address this question. Provide all steps, and a complete conclusion.

 

Question 4.

(5 Points) A survey called the Health Examination Survey were asked "Have you ever felt you were going to have a nervous breakdown?" The results for men aged 25 to 34 showed that out of 543 married men, 40 answered yes. For a total of 99 never married men, 9 answered yes. Is there evidence of a relationship between marital status and their answer to the mental health question?

Use a hypothesis test to address this question. You must provide a clear and complete conclusion.

 

Question 5.

(5 Points) The Western Electric Longitudinal Study produced the following data regarding coronary heart disease (CHD) and work environment.

 

Major CHD Event

Do You Work Under Tension?

Yes

No

TOTAL

Yes

97

307

404

No

200

1409

1609

TOTAL

297

1716

2013

 

Use these data to determine if there is evidence for a relationship between workplace stress and a coronary heart disease event. Use a contingency table approach with a chi-squared test statistic in your hypothesis test. Give a complete conclusion in addition to all the steps in the test.