Construct a confidence interval for the average age

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1) A study of violence and peer acceptance reported descriptive results for male and female students. The average age for 17 male students was 15.79 with a standard deviation of 2.01. Construct a 99% confidence interval for the average age of male students. What is the lower bound for this confidence interval?

a.   15.36

b.   13.96

c.   14.50

d.   14.32

2) A research study interested in the adoption of the "urban lifestyle" among delinquent youths surveyed 1,000 delinquent youths and found that their average on the "urban lifestyle scale" is 7.65 with a standard deviation of 1.01. What's the upper bound for a 95% confidence interval?

a. 7.59

b. 7.71

c. 7.04

d. 7.96

3) The US Census shows that 35% of Americans have a passport. We think that in Phoenix, fewer people have passports (Phoenix is a resort town after all, why travel?). We take a sample of 1500 Phoenix residents and find that 31% have a passport. Conduct a hypothesis test around a proportion that tests whether fewer Phoenix residents have passports than the overall US. Use alpha = 0.05. What would be your alternative hypothesis?

a. H1: p < 0.31

b. H1: p > 0.31

c. H1: p < 0.35

d. H1: p > 0.35

4) The US Census shows that 35% of Americans have a passport. We think that in Phoenix, fewer people have passports (Phoenix is a resort town after all, why travel?). We take a sample of 1500 Phoenix residents and find that 31% have a passport. Conduct a hypothesis test around a proportion that tests whether fewer Phoenix residents have passports than the overall US. Use alpha = 0.05. What do you conclude?

a. Fail to reject the null hypothesis.

b. Reject the null hypothesis.

 

Driver post-stop perceived race or ethnicity

Total

White

Unknown

Native American

Hispanic

Black

Asian

Driver arrested

no

18005

261

357

5240

1867

552

26282

yes

1010

12

67

562

168

22

1841

Total

 

19015

273

424

5802

2035

574

28123

Using the table above, answer the following 2 questions:

5) What is the probability of being arrested or Asian? P(Yes OR Asian)

a. 0.085

b. 0.076

c. 0.087

d. 0.091

6) What is the probability of not being arrested and being Hispanic? P(No Arrest & Hispanic)?

a. 0.211

b. 0.167

c. 0.188

d. 0.192

7) Say you have a table with 4 rows and 2 columns. Using α = 0.01, what would your χ2 critical value be?

a. 3.84

b. 7.81

c. 11.34

d. 12.59

8) Using the following table, what would be the expected frequency for "Routine & Pretty Happy"? Is Life Exciting or Dull * General Happiness Crosstabulation

Count

 

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Is Life Exciting or Dull

Exciting

195

218

21

434

Routine

98

338

61

497

 

Dull

2

12

26

40

Total

 

295

568

108

971

a. 151

b. 290.7

c. 23.4

d. 55.3

9) Calculate the χ2 for the following table.

Is Life Exciting or Dull * General Happiness Crosstabulation

Count

 

General Happiness

 

Total

Very Happy

Pretty Happy

Not Too Happy

Is Life Exciting or Dull

Exciting

195

218

21

434

Routine

98

338

61

497

 

Dull

2

12

26

40

Total

 

295

568

108

971

a. 196.02

b. 156.89

c. 205.36

d. 186.33

10) Given the χ2 you found in the above table, would you reject or fail to reject the null hypothesis? Use an alpha level of 0.01.

a. Reject the null hypothesis

b. Fail to reject the null hypothesis

Reference no: EM131269078

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