Question

Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 49 randomly observed members of the Presbyterian church donated an average of $28 with a standard deviation of $12. The 51 randomly observed members of the Catholic church donated an average of $26 with a standard deviation of $10. What can be concluded at the αα = 0.05 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for the difference between two population proportions t-test for the difference between two independent population means z-test for a population proportion t-test for the difference between two dependent population means
2. The null and alternative hypotheses would be:   
3.   

H0:H0:  Select an answer p1 μ1  Select an answer ≠ < > =  Select an answer p2 μ2  (please enter a decimal)   

H1:H1:  Select an answer μ1 p1  Select an answer < ≠ > =  Select an answer p2 μ2  (Please enter a decimal)

3. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean amount of money that Presbyterians donate is equal to the population mean amount of money that Catholics donate.
   • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate.
   • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean donation for the 49 Presbyterians that were observed is a different amount of money compared to the mean donation for the 51 Catholics that were observed.
   • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is a different amount of money compared to the population mean amount of money that Catholics donate.

Answer 1