An international school wants to determine whether the distribution of the stude
ID: 3365872 • Letter: A
Question
An international school wants to determine whether the distribution of the student body is representative of the overall world population. Their current enrollment is broken down by nationality in the table below:
The world population in 2017 has roughly this distribution:
Using Goodness of Fit, test the following hypotheses at a 95% confidence level:
H0: The student body REFLECTS the global population; it is unbiased
Ha: The student body DOES NOT REFLECT the global population; it is biased
What is the value of the test statistic, 2 (chi-square)? [ Select ] ["none of these", "-3.8", "-0.6", "7.84", "2.5", "10.5"]
How many degrees of freedom does the relevant 2 distribution have? [ Select ] ["2", "1", "3", "none of these", "5", "0", "4"]
What is the p-value? [ Select ] ["none of these", "0.098", "0.061", "0.004", "0.033", "0.213"]
What is the correct decision and conclusion? [ Select ] ["None of these", " Reject H0; With 95% confidence, the student body DOES NOT REFLECT the global population", " Reject H0; With 95% confidence, the student body REFLECTS the global population", " Fail to reject H0; With 95% confidence, the student body DOES NOT REFLECT the global population", " Fail to reject H0; With 95% confidence, the student body REFLECTS the global population"]
U.S. Russia India China Other Number of students 51 15 155 175 604Explanation / Answer
1) test statisitcs = 7.84
2) df= r-1 = 4
3) p-value = 0.0977 = 0.0978
4) D) Fail to reject H0; With 95% confidence, the student body REFLECTS the global population"
p Oi Ei (Oi-Ei)^2/Ei us 0.041 51 41 2.43902439 russia 0.019 15 19 0.842105263 india 0.177 155 177 2.734463277 china 0.186 175 186 0.650537634 other 0.578 604 578 1.169550173 1.001 1000 TS 7.835680738 critical value 9.487729037Related Questions
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