Question

Does the average Presbyterian donate more than the average Catholic in church on Sundays? The 44 randomly observed members of the Presbyterian church donated an average of $22 with a standard deviation of $12. The 58 randomly observed members of the Catholic church donated an average of $17 with a standard deviation of $10. What can be concluded at the αα = 0.10 level of significance?

1. For this study, we should use Select an answert-test for the difference between two independent population meansz-test for a population proportiont-test for the difference between two dependent population meansz-test for the difference between two population proportionst-test for a population mean
2. The null and alternative hypotheses would be:   
3.   

H0:H0:  Select an answerp1μ1 ?=<≠> Select an answerμ2p2 (please enter a decimal)   

H1:H1:  Select an answerp1μ1 ?=><≠ Select an answerμ2p2 (Please enter a decimal)

3. The test statistic ?tz = (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 answerfail to rejectrejectaccept the null hypothesis.
7. Thus, the final conclusion is that ...
   • The results are statistically insignificant at αα = 0.10, 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 = 0.10, so there is sufficient evidence to conclude that the mean donation for the 44 Presbyterians that were observed is more than the mean donation for the 58 Catholics that were observed.
   • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of money that Catholics donate.
   • The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of money that Catholics donate.

Answer 1