A non-profit organization is collecting data about how alcohol consumption affects academic performance. They want to perform a hypothesis test to see whether there is a relationship between how much alcohol a student consumes, and whether they are in good academic standing (GPA greater than or equal to 2.0). The results are summarized in the table below:
A non-profit organization is collecting data about how alcohol consumption affects academic performance. They want to perform a hypothesis test to see whether there is a relationship between how much alcohol a student consumes, and whether they are in good academic standing (GPA greater than or equal to 2.0). The results are summarized in the table below:
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question

Transcribed Image Text:A non-profit organization is collecting data about how alcohol consumption affects academic performance. They want to perform a hypothesis
test to see whether there is a relationship between how much alcohol a student consumes, and whether they are in good academic standing
(GPA greater than or equal to 2.0). The results are summarized in the table below:
Drinks 3+ Drinks per week
Observed Data
Good Academic Standing 137
Poor Academic Standing
40
Total
177
Expected Frequencies
Good Academic Standing
Poor Academic Standing
Total
a. Fill in the table of expected frequencies below. Round your answers to 2 decimal places.
177
Drinks 3+ Drinks per week
164
52
216
Ho: Alcohol consumption and academic standing are independent
Ha: Alcohol consumption and academic standing are correlated
Drinks 1-3 Drinks per week
216
d. Come to a conclusion:
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
Drinks 1-3 Drinks per week
Ho: Not drinking any alcohol makes it more likely a student is in good academic standing
Ha: Not drinking any alcohol makes it less likely a student is in poor academic standing
b. State the null and alternative hypothesis for a test of independence for the variables "Academic Standing" and "Alcohol Consumption."
Ho: Drinking more than 3 drinks per week is mutually exclusive with good academic standing
Ha: Drinking more than 3 drinks per week is independent of academic standing
Ho: Drinking more alcohol makes you more likely to be in poor academic standing
Ha: Drinking less alcohol makes you less likely to be in poor academic standing
Does not drink
247
48
295
Does not drink
e. Interpret your results:
O There is not enough evidence to conclude that alcohol consumption and academic standing are independent.
O There is enough evidence to conclude that alcohol consumption and academic standing are independent.
O There is not enough evidence to conclude that academic standing and alcohol consumption are correlated.
O There is enough evidence to conclude that academic standing and alcohol consumption are correlated.
295
Total
548
140
688
Total
c. Use the Google Sheets function =CHISQ.TEST to find the p-value for the hypothesis test, and round your answer to 4 decimal places. Note
that when rounded, your answer may be 0.
548
140
688
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