statistics exam 30 questions

1. Say you’ve obtained a chi-square of 12.56. You have a chi square critical value of 3.481. Based on this information, what do you conclude?

A) Fail to reject the null hypothesis

B) Reject the Null Hypothesis

2. Say you’ve obtained a chi-square of 10.95. You have a chi square critical value of 9.210. Based on this information, what do you conclude?

A) Fail to reject the null hypothesis

B) Reject the Null Hypothesis

3. For the table below, what would be the chi-square critical value if you were doing a hypothesis test and your significance level was 0.01?

Counseling for Mental Problems

Total

Yes

No

Do you have Kids?

Yes

39

695

734

No

19

256

275

Total

58

951

1009

D 9.210

4) For the table below, what is the expected frequency for Yes Demoted and Pretty Happy? (Remember that you don’t need to do all the expected frequencies to get just one…)

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Were Demoted?

Yes

5

12

7

24

No

294

545

99

938

Total

299

557

106

962

5. For the table below, what is the expected frequency for No Kids and Yes Counseling for Mental Problems? (Remember that you don’t need to do all the expected frequencies to get just one…)

Counseling for Mental Problems

Total

Yes

No

Do you have Kids?

Yes

39

695

734

No

19

256

275

Total

58

951

1009

6. For the table below, what is the expected frequency for No Demoted and Not too Happy? (Remember that you don’t need to do all the expected frequencies to get just one…)

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Were Demoted?

Yes

5

12

7

24

No

294

545

99

938

Total

299

557

106

962

7. For the table below, what is the expected frequency for No Kids and No Counseling for Mental Problems? (Remember that you don’t need to do all the expected frequencies to get just one…)

Counseling for Mental Problems

Total

Yes

No

Do you have Kids?

Yes

39

695

734

No

19

256

275

Total

58

951

1009

8. In the table below, what is the column marginal for “ever had home broken into = no”?

Ever had home broken into?

Gender

Yes

No

Total

Female

1558

1064

2622

Male

1567

1069

2636

Total

3125

2133

5258

9. For the table below, what is the chi-square? (Remember, you can round to whole numbers for the expected frequency, but leave at least 2 decimal places on for all other chi-square calculations).

Counseling for Mental Problems

Total

Yes

No

Do you have Kids?

Yes

39

695

734

No

19

256

275

Total

58

951

1009

10. For the table below, what is the chi-square? (Round this way or the answer will not turn out right: you can round to whole numbers for the expected frequency, but leave at least 2 decimal places on for all other chi-square calculations). Choose the answer that is closest.

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Were Demoted?

Yes

5

12

7

24

No

294

545

99

938

Total

299

557

106

962

11. You’ve obtained a chi square of 34.56, and it’s significant. You want to test how strong the relationship between these two variables is. You have a sample size of 75. You have a table with 2 rows and 4 columns. What’s your Cramer’s V?

12. Say you have a phi-coefficient of 0.51. How strong is the relationship between the two variables it tests?

13. You’ve obtained a chi square of 10.98, and it’s significant. You want to test how strong the relationship between these two variables is. You have a sample size of 50. What’s your phi-coefficient?

14. You’ve obtained a chi square of 16.52, and it’s significant. You want to test how strong the relationship between these two variables is. You have a sample size of 75. What’s your phi-coefficient?

15. Is the interpretation of the following regression line correct?

Regression line:



y






=


20.5


+


1.4


(


x


)

Interpretation: For every one unit increase in y, there is a 1.4 increase in x.

16. Is the interpretation of the following regression line correct?

Regression line:



y






=


0.89


+


2.3



(


x


)


Interpretation: For every one unit increase in y, there is a 0.89 increase in x.

17. Is the interpretation of the following regression line correct?

Regression line:


y






=


0.5





1.7


(


x


)
” style=”max-width: 694px;” rel=”max-width: 694px;”>



y






=


0.5





1.7


(


x


)

Interpretation: For every one unit increase in x, there is a 1.7 decrease in y.

18. What type of relationship, positive or negative, is portrayed in the following sentence? When crime worsens, individuals’ willingness to help their neighborhoods decreases.

19. What type of relationship, positive or negative, is portrayed in the following sentence? The statistical relationship shows that when foreclosure rates increase, crime worsens.

20. Find the correlation between the two following variables: % of people in neighborhood on welfare and the number of people who have police contact.

x y
40 9
59 25
20 3
15 10

21. What is the strength of the following correlation? 0.156

22. What is the strength of the following correlation? 0.451

23. A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.

Would you use z or t to test this hypothesis?

24. A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.

Would you have a one or two tailed test?

25. A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct. You find that 15% of them have had something stolen.

What is the value of your test statistic?

26. What are the age differences among teens that report being delinquent (or not)? Conduct a two mean hypothesis test to ascertain whether there is an age difference between teens who report being delinquent and teens that report no delinquency. Use a significance level of α = 0.05 and the information below.

No Delinquency

Delinquent

n = 21

n = 5

s1 = 0.6

s2 = 1.6

x1 = 13

x2 = 17

Would the alternative hypothesis for this test be directional or non-directional?

27. Let’s say we believe that desk-officers and patrol-officers spend different get differing numbers of overtime hours because of their different assignments. We take a small sample of each group to determine if they are truly different. Conduct a two mean hypothesis test to ascertain whether there is a difference between desk-officers and patrol-officers regarding overtime. Use a significance level of α = 0.01 and the information below.

Desk Officers

Patrol Officers

n = 4

n = 7

s1 = 2.9

s2 = 2.0





x


¯



1



=


3






x


¯



2



=


5


What do you conclude?

28. Let’s say we believe that desk-officers and patrol-officers spend different get differing numbers of overtime hours because of their different assignments. We take a small sample of each group to determine if they are truly different. Conduct a two mean hypothesis test to ascertain whether there is a difference between desk-officers and patrol-officers regarding overtime. Use a significance level of α = 0.01 and the information below.

Desk Officers

Patrol Officers

n = 4

n = 7

s1 = 2.9

s2 = 2.0

What is your critical value(s) for this test?

29. Let’s say we believe that desk-officers and patrol-officers spend different get differing numbers of overtime hours because of their different assignments. We take a small sample of each group to determine if they are truly different. Conduct a two mean hypothesis test to ascertain whether there is a difference between desk-officers and patrol-officers regarding overtime. Use a significance level of α = 0.01 and the information below.

Desk Officers

Patrol Officers

n = 4

n = 7

s1 = 2.9

s2 = 2.0

What is the degrees of freedom for this test?

30. What are the age differences among teens that report being delinquent (or not)? Conduct a two mean hypothesis test to ascertain whether there is an age difference between teens who report being delinquent and teens that report no delinquency. Use a significance level of α = 0.05 and the information below.

No Delinquency

Delinquent

n = 21

n = 5

s1 = 0.6

s2 = 1.6

What is your obtained t?

 
Looking for solution of this Assignment?

WHY CHOOSE US?

We deliver quality original papers

Our experts write quality original papers using academic databases.  

Free revisions

We offer our clients multiple free revisions just to ensure you get what you want.

Discounted prices

All our prices are discounted which makes it affordable to you. Use code FIRST15 to get your discount

100% originality

We deliver papers that are written from scratch to deliver 100% originality. Our papers are free from plagiarism and NO similarity

On-time delivery

We will deliver your paper on time even on short notice or  short deadline, overnight essay or even an urgent essay