Question

A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail).

The following table shows the observed frequencies for this test.

Noise Level

Low Medium High

Exam Pass 19 16 9 44

Fail 9 6 10 25

28 22 19 N = 69

(a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal place)

Decide whether to retain or reject the null hypothesis. Retain
the null hypothesis. Reject the null hypothesis.

(b) Compute effect size using Cramer's V. (Round your answer to two
decimal places.)

V =

Answer #1

a)\

Applying Chi square test:

Expected |
E_{i}=row total*column
total/grand total |
Low | Medium | High | Total |

Pass | 17.8551 | 14.0290 | 12.1159 | 44 | |

Fail | 10.1449 | 7.9710 | 6.8841 | 25 | |

total | 28 | 22 | 19 | 69 | |

chi square χ^{2} |
=(O_{i}-E_{i})^{2}/E_{i} |
Low | Medium | High | Total |

Pass | 0.073 | 0.277 | 0.801 | 1.1517 | |

Fail | 0.129 | 0.487 | 1.410 | 2.0270 | |

total | 0.2026 | 0.7643 | 2.2117 | 3.1786 | |

test
statistic X^{2} = |
3.1786 | ||||

p value = | 0.2041 |

from above test statistic X^{2}
=**3.18**

since p value >0.05, retain the null hypothesis\

b)

Cramer V=φ_{c}=√(X^{2}/(n*(k-1)))= |
0.21 |

A professor tests whether the loudness of noise during an exam
(low, medium, and high) is independent of exam grades (pass, fail).
The following table shows the observed frequencies for this test.
Noise Level Low Medium High Exam Pass 19 16 9 44 Fail 9 6 10 25 28
22 19 N = 69 (a) Conduct a chi-square test for independence at a
0.05 level of significance. (Round your answer to two decimal
places.) $ \chi_{obt}^2 $ = Incorrect: Your...

A professor tests whether the loudness of noise during an exam
(low, medium, and high) is independent of exam grades (pass, fail).
The following table shows the observed frequencies for this test.
Noise Level Low Medium High Exam Pass 19 16 9 44 Fail 9 7 11 27 28
23 20 N = 71 (a) Conduct a chi-square test for independence at a
0.05 level of significance. (Round your answer to two decimal
places.) $ \chi_{obt}^2 $ = Decide whether...

A professor tests whether the loudness of noise during an exam
(low, medium, and high) is independent of exam grades (pass, fail).
The following table shows the observed frequencies for this
test.
Noise Level
Low
Medium
High
Exam
Pass
21
18
9
48
Fail
9
7
11
27
30
25
20
N = 75
(a) Conduct a chi-square test for independence at a 0.05 level
of significance. (Round your answer to two decimal places.)
=
Decide whether to retain or...

A professor tests whether the loudness of noise during an exam
(low, medium, and high) is independent of test grades (pass, fail).
The following table shows the observed frequencies for this
test.
Noise Level
Low
Medium
High
Test
Pass
19
16
8
43
Fail
8
6
10
24
27
22
18
N = 67
(a) Conduct a chi-square test for independence at a 0.05 level
of significance. (Round your answer to two decimal places.)
=
Decide whether to retain or...

A professor tests whether the loudness of noise during an exam
(low, medium, and high) is independent of exam grades (pass, fail).
The following table shows the observed frequencies for this test.
Noise Level Low Medium High Exam Pass 21 16 8 45 Fail 8 5 10 23 29
21 18 N = 68 (a) Conduct a chi-square test for independence at a
0.05 level of significance. (Round your answer to two decimal
places.) $ \chi_{obt}^2 $ = Correct: Your...

A professor tests whether the loudness of noise during a test
(low, medium, and high) is independent of test grades (pass, fail).
The following table shows the observed frequencies for this
test.
Noise Level
Low
Medium
High
Test
Pass
20
16
8
44
Fail
8
6
11
25
28
22
19
N = 69
(a) Conduct a chi-square test for independence at a 0.05 level
of significance. (Round your answer to two decimal places.)
X2obt =
(b) Compute effect size...

A psychologist studying addiction tests whether cravings for
cocaine and relapse are independent. The following table lists the
observed frequencies in the small sample of people who use
drugs.
Obs. Freq.
Relapse
Yes
No
Cravings
Yes
21
11
32
No
8
17
25
29
28
N = 57
(a) Conduct a chi-square test for independence at a 0.05 level
of significance. (Round your answer to two decimal places.)
(the correct symbols won't transfer but it is as follows)...

A psychologist studying addiction tests whether cravings for
cocaine and relapse are independent. The following table lists the
observed frequencies in the small sample of people who use
drugs.
Obs. Freq. Relapse
Yes No
Cravings Yes 21 12 33
No 6 15 21
27 27 N = 54
(a) Conduct a chi-square test for independence at a 0.05 level
of significance. (Round your answer to two decimal places.)
Decide whether to retain or reject the null hypothesis.
(b) Compute effect...

1. I have hypothesized that eating a high-sugar breakfast will
lead to low exam performance in the afternoon. What is the null
hypothesis?
2. Explain when I would reject and retain a null hypothesis.
3. Give an example of when I would use an independent t-test and
an example of when I would use a dependent t-test.
4. How do I know whether to use a t-test vs. a Chi-Square?

A group of researchers wants to examine whether taking multiple
practice quizzes improve scores on tests. They compare the exam
scores for a sample of n1 = 12 students who
took multiple practice quizzes with the test scores of a sample of
n2 = 10 students who did not do any practice
quizzes. Results of the study revealed that the practice quiz group
had M1 = 95, SS1 = 52. The
no quiz group had M2 = 92,
SS2 =...

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