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 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 answer is correct. Decide whether to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis. Correct: Your answer is correct. (b) Compute effect size using Cramer's V. (Round your answer to two decimal places.) V =

Answer #1

applying chi square test:

Expected |
E_{i}=row total*column
total/grand total |
low | medium | high | Total |

pass | 19.19 | 13.90 | 11.91 | 45 | |

fail | 9.81 | 7.10 | 6.09 | 23 | |

total | 29 | 21 | 18 | 68 | |

chi square χ^{2} |
=(O_{i}-E_{i})^{2}/E_{i} |
low | medium | high | Total |

pass | 0.1705 | 0.3182 | 1.2846 | 1.773 | |

fail | 0.3336 | 0.6226 | 2.5134 | 3.470 | |

total | 0.504 | 0.941 | 3.798 | 5.243 |

a)

X^{2}_{obt} =5.24

Retain the null hypothesis

\b)

Cramer's V =sqrt(X^{2}/n) =sqrt(5.24/68) =0.28

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 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
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 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...

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?

You have been hired to test whether the demand for a product
that your client produces varies between two demographic markets –
the Urban and Rural markets.
As such, in each market, you run a short survey that gauges
customers demand for your product and assigns them to one of three
categories – (i) High (ii) Medium
or (iii) Low.
You survey 70 people in the “Urban” market and find that their
demand falls into the following “buckets”
High
32...

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