5. Calculate the test statistic for this procedure. 20.9328

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Chapter5: A Survey Of Other Common Functions
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Sex-role stereotyping - The article "A Cross-Cultural Content Analysis of Sex-Role Stereotyping in Television Advertisements" compares sex-role stereotyping in British and New Zealand television advertisements. One of the coding or classification procedures involved the Location where the central figures in
the advertisement were depicted. The researchers were interested in determining whether there is an association between Sex of the central figures and Location where they are depicted in the advertisement. The table below summarize the observed data for Great Britain, consistent with the article mentioned
above
Male
Female
Total
Occupationa
Domestic
18
19
37
14
37
51
Leisure
45
19
64
11
| 22
174
Elsewhere
11
Total
88
86
Researchers want to conduct a hypothesis test using the hypotheses:
Hg: There is no relationship between the variables Sex and Location.
H: There is a relationship between the variables Sex and Location.
Round all calculated answers to 4 decimal places where appropriate.
1. Which statistical test should they use?
OA. Z-test for one population proportion
OB. x goodness of fit test
OC. t-test for the slope of the regression line
OD. t-test for a sample mean
OE. x test of independence
2. What is the degrees of freedom for this test? 3
3. Under the null hypothesis model, what is the expected count for Female in the Domestic location?
25.2069
4. Calculate the contribution to the test statistic for Female in the Domestic location. 5.5174
5. Calculate the test statistic for this procedure
x2 = 20.9328
6. Calculate the p-value.
p-value = 0.0001
7. Based on the p-value, we have extremely strong evidence v that the null model is not a good fit for our observed data.
Transcribed Image Text:Sex-role stereotyping - The article "A Cross-Cultural Content Analysis of Sex-Role Stereotyping in Television Advertisements" compares sex-role stereotyping in British and New Zealand television advertisements. One of the coding or classification procedures involved the Location where the central figures in the advertisement were depicted. The researchers were interested in determining whether there is an association between Sex of the central figures and Location where they are depicted in the advertisement. The table below summarize the observed data for Great Britain, consistent with the article mentioned above Male Female Total Occupationa Domestic 18 19 37 14 37 51 Leisure 45 19 64 11 | 22 174 Elsewhere 11 Total 88 86 Researchers want to conduct a hypothesis test using the hypotheses: Hg: There is no relationship between the variables Sex and Location. H: There is a relationship between the variables Sex and Location. Round all calculated answers to 4 decimal places where appropriate. 1. Which statistical test should they use? OA. Z-test for one population proportion OB. x goodness of fit test OC. t-test for the slope of the regression line OD. t-test for a sample mean OE. x test of independence 2. What is the degrees of freedom for this test? 3 3. Under the null hypothesis model, what is the expected count for Female in the Domestic location? 25.2069 4. Calculate the contribution to the test statistic for Female in the Domestic location. 5.5174 5. Calculate the test statistic for this procedure x2 = 20.9328 6. Calculate the p-value. p-value = 0.0001 7. Based on the p-value, we have extremely strong evidence v that the null model is not a good fit for our observed data.
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