Does the average Presbyterian donate more than the averageCatholic in church on Sundays? The 44 randomly observed members ofthe Presbyterian church donated an average of $22 with a standarddeviation of $12. The 58 randomly observed members of the Catholicchurch donated an average of $17 with a standard deviation of $10.What can be concluded at the ?? = 0.10 level of significance?
- For this study, we should use Select an answert-test for thedifference between two independent population meansz-test for apopulation proportiont-test for the difference between twodependent population meansz-test for the difference between twopopulation proportionst-test for a population mean
- The null and alternative hypotheses would be:
-
H0:H0: Select an answerp1?1 ?= Select ananswer?2p2 (please enter a decimal)
H1:H1: Select an answerp1?1 ?=>
- The test statistic ?tz = (please show your answer to 3 decimalplaces.)
- The p-value = (Please show your answer to 4 decimalplaces.)
- The p-value is ??> ??
- Based on this, we should Select an answerfail torejectrejectaccept the null hypothesis.
- Thus, the final conclusion is that ...
- The results are statistically insignificant at ?? = 0.10, sothere is statistically significant evidence to conclude that thepopulation mean amount of money that Presbyterians donate is equalto the population mean amount of money that Catholics donate.
- The results are statistically significant at ?? = 0.10, sothere is sufficient evidence to conclude that the mean donation forthe 44 Presbyterians that were observed is more than the meandonation for the 58 Catholics that were observed.
- The results are statistically significant at ?? = 0.10, sothere is sufficient evidence to conclude that the population meanamount of money that Presbyterians donate is more than thepopulation mean amount of money that Catholics donate.
- The results are statistically insignificant at ?? = 0.10, sothere is insufficient evidence to conclude that the population meanamount of money that Presbyterians donate is more than thepopulation mean amount of money that Catholics donate.
