Question
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 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 | Drinks 3+ Drinks per week | Drinks 1-3 Drinks per week | Does not drink | Total |
---|---|---|---|---|
Good Academic Standing | 93 | 151 | 244 | 488 |
Poor Academic Standing | 39 | 50 | 55 | 144 |
Total | 132 | 201 | 299 | 632 |
a. Fill in the table of expected frequencies below. Round your answers to 2 decimal places.
Expected Frequencies | Drinks 3+ Drinks per week | Drinks 1-3 Drinks per week | Does not drink | Total |
---|---|---|---|---|
Good Academic Standing | 488 | |||
Poor Academic Standing | 144 | |||
Total | 132 | 201 | 299 | 632 |
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
Ho: Alcohol consumption and academic standing are independent
Ha: Alcohol consumption and academic standing are correlated
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
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. d. Come to a conclusion: Reject the null hypothesis.Fail to reject the null hypothesis. e. Interpret your results:There is not enough evidence to conclude that academic standing and alcohol consumption are correlated.There is not enough evidence to conclude that alcohol consumption and academic standing are independent. There is enough evidence to conclude that academic standing and alcohol consumption are correlated.There is enough evidence to conclude that alcohol consumption and academic standing are independent.
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