a. Test if the proportion of unemployed non-science female graduates is more than the proportion of science female graduates at 10 percent significance level. i. Specify the competing hypotheses of the test.  ii. Calculate the value of the relevant test statistic.  iii. Compute the p-value.  iv. At 5% significance level, does proportion of unemployed non-science female graduate is 5 percent more than the proportion of science female graduates?

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According to a report, 30 percent of Malaysian graduates are unemployed. Among the field of
study in general, non-science female graduates have a higher unemployment rate than science female graduates, but non-science male graduates have a low unemployment rate than science male graduates. An academician is curious to determine if the same pattern also exists in Kota Kinabalu. He randomly selects 320 non science graduates and 425 science graduates for the analysis. The following table contains the sample information:

a. Test if the proportion of unemployed non-science female graduates is more than the
proportion of science female graduates at 10 percent significance level.
i. Specify the competing hypotheses of the test. 
ii. Calculate the value of the relevant test statistic. 
iii. Compute the p-value. 
iv. At 5% significance level, does proportion of unemployed non-science female
graduate is 5 percent more than the proportion of science female graduates?

Field of study
Gender
Male
Female
Unemployed
54
Employed
141
Non-Science
53
87
72
Science
Male
165
Female
43
130
Transcribed Image Text:Field of study Gender Male Female Unemployed 54 Employed 141 Non-Science 53 87 72 Science Male 165 Female 43 130
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