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: Observed Data Good Academic Standing Poor Academic Standing Total Expected Frequencies Good Academic Standing Poor Academic Standing Total 146 38 184 a. Fill in the table of expected frequencies below. Round your answers to 2 decimal places. Drinks 3+ Drinks per week 184 Drinks 3+ Drinks per week Ho: Drinking more alcohol makes you more likely to be in poor academic standing O Ha: Drinking less alcohol makes you less likely to be in poor academic standing d. Come to a conclusion: O Fail to reject the null hypothesis. O Reject the null hypothesis. Ho: Alcohol consumption and academic standing are independent Ha: Alcohol consumption and academic standing are correlated 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 174 41 215 b. State the null and alternative hypothesis for a test of independence for the variables "Academic Standing" and "Alcohol Consumption." 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 215 Drinks 1-3 Drinks per week Drinks 1-3 Drinks per week 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. There is enough evidence to conclude that academic standing and alcohol consumption are correlated. 242 45 287 287 Does not drink 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. Does not drink Total 562 124 686 Total 562 124 686

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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
Poor Academic Standing
Total
a. Fill in the table of expected frequencies below. Round your answers to 2 decimal places.
Expected Frequencies
Good Academic Standing
Poor Academic Standing
Total
146
38
184
184
Drinks 3+ Drinks per week
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
Ho: Alcohol consumption and academic standing are independent
Ha: Alcohol consumption and academic standing are correlated
d. Come to a conclusion:
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
O
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
174
41
215
b. State the null and alternative hypothesis for a test of independence for the variables "Academic Standing" and "Alcohol Consumption."
Ho: Not drinking any alcohol makes it more likely a student is in good academic standing
O
Ha: Not drinking any alcohol makes it less likely a student is in poor academic standing
215
Drinks 1-3 Drinks per week
Drinks 1-3 Drinks per week
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.
242
45
287
287
Does not drink
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.
Does not drink
Total
562
124
686
Total
562
124
686
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 Poor Academic Standing Total a. Fill in the table of expected frequencies below. Round your answers to 2 decimal places. Expected Frequencies Good Academic Standing Poor Academic Standing Total 146 38 184 184 Drinks 3+ Drinks per week 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 Ho: Alcohol consumption and academic standing are independent Ha: Alcohol consumption and academic standing are correlated d. Come to a conclusion: O Fail to reject the null hypothesis. O Reject the null hypothesis. O 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 174 41 215 b. State the null and alternative hypothesis for a test of independence for the variables "Academic Standing" and "Alcohol Consumption." Ho: Not drinking any alcohol makes it more likely a student is in good academic standing O Ha: Not drinking any alcohol makes it less likely a student is in poor academic standing 215 Drinks 1-3 Drinks per week Drinks 1-3 Drinks per week 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. 242 45 287 287 Does not drink 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. Does not drink Total 562 124 686 Total 562 124 686
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