Question
In: Statistics and Probability
c) Discuss circumstances under which we use chi-square in data analyis and derive the chi-square formula?
c) Discuss circumstances under which we use chi-square in data analyis and derive the chi-square formula?
Solutions
Expert Solution
1. Market researchers use the Chi-Square test when they find themselves in one of the following situations:
- They need to estimate how closely an observed distribution matches an expected distribution. This is referred to as a “goodness-of-fit” test.
- They need to estimate whether two random variables are independent.
2. The Chi-Square test is most useful when analyzing cross tabulations of survey response data.
Because cross tabulations reveal the frequency and percentage of responses to questions by various segments or categories of respondents (gender, profession, education level, etc.), the Chi-Square test informs researchers about whether or not there is a statistically significant difference between how the various segments or categories answered a given question.
Chi-square formula-
orchestra answered 2 years agoRelated Solutions
Chi Square Test We will now use Excel to run an example of a chi square...
Chi Square Test
We will now use Excel to run an example of a chi square test.
Chi square test is checking the independence of two variables. Our
example will test if taking hormonal pills and being overweight are
related. We will test the independence on 200 random patients.
Thus, N=200. They will be divided first into two groups, those who
take hormonal pills and those who do not. Second, they will be
divided into three groups based on weight,...
Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant...
Chi-Square Test for Independence
Using Chi-Square, we are looking to see if there is a
significant difference between what we would expect results to be,
and what the actual results were. That is, expected vs.
observed. Use alpha = .05
Listed below are data from a survey conducted recently where
Males and Females responded to their happiness with their
supervisor (this is fictitious data).
Response
Male
Female
Total
Not at all
23
25
48
Somewhat
13
22
35
Very
26...
Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant...
Chi-Square Test for Independence
Using Chi-Square, we are looking to see if there is a
significant difference between what we would expect results to be,
and what the actual results were. That is, expected vs.
observed. Use alpha = .05
Listed below are data from a survey conducted recently where
Males and Females responded to their happiness with their
supervisor (this is fictitious data).
Response
Male
Female
Total
Not at all
23
25
48
Somewhat
13
22
35
Very
26...
Use Excel and write formula of Chi square to Find the critical values check your answers...
Use Excel and write formula of Chi square to Find the critical
values check your answers with the tables of Chi square Critical
Value:
1- χ^2_(.05,25)
2- χ^2_(.01,6)
3- χ^2_(.05,10)
When we run a chi-square test of independence on a 2x2 table, the resulting Chi-square test...
When we run a chi-square test of independence on a 2x2 table,
the resulting Chi-square test statistic would be equal to the
square of the Z-test statistic from the Z-test of two independent
proportions. True or false
Use the following data to conduct a Chi-square test for each region of the company in...
Use the following data to conduct a Chi-square test for each
region of the company in the same manner you viewed in the
video:
Region
Expected
Actual
Southeast
Defined
100
98
Open
100
104
Northeast
Defined
150
188
Open
150
214
Midwest
Defined
125
120
Open
125
108
Pacific
Defined
200
205
Open
200
278
Step 3:
Write an 800–1,000-word essay, utilizing APA formatting, to
discuss the following:
Describe why hypothesis testing is important to
businesses.
Report your findings from...
Use the following data to conduct a Chi-square test for each region of the company in...
Use the following data to conduct a Chi-square test for each
region of the company in the same manner you viewed in the
video:
Region
Expected
Actual
Southeast
Defined
100
98
Open
100
104
Northeast
Defined
150
188
Open
150
214
Midwest
Defined
125
120
Open
125
108
Pacific
Defined
200
205
Open
200
278
Step 3:
Write an 800–1,000-word essay, utilizing APA formatting, to
discuss the following:
Describe why hypothesis testing is important to businesses.
Report your findings from...
Use the following data to conduct a Chi-square test for each region of the company in...
Use the following data to conduct a Chi-square test
for each region of the company in the same manner you viewed in the
video:
RegionExpected
Actual
Southeast
Defined
10098
Open
100104Northeast
Defined
150188
Open
150214Midwest
Defined
125120
Open
125108Pacific
Defined
200205
Open
200278
Step 3:
Write an 800–1,000-word essay, utilizing APA
formatting, to discuss the following:
Describe why hypothesis testing is important to
businesses.
Report your findings from each Chi-square test that
you conducted.
Based solely on the Chi-square test,...
Use the chi-square test for goodness of fit to determine if the data shown below are...
Use the chi-square test for goodness of fit to determine if the
data shown below are consistent with an inheritance pattern of
simple dominance. Use p = 0.05 for determining
significance.
Cross: Aa x Aa
Offspring:
70 dominant phenotype
30 recessive phenotype
A. The data are consistent with a simple dominance pattern of
inheritance.
B. The data are not consistent with a simple dominance pattern
of inheritance.
Describe common strategies LBO firms use to exit their investment. Discuss the circumstances under which some...
Describe common strategies LBO firms use to exit their
investment. Discuss the circumstances under which some methods of
“cashing out” are preferred to others.
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