Question

Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 41 randomly observed members of the Presbyterian church donated an average of $21 with a standard deviation of $5. The 44 randomly observed members of the Catholic church donated an average of $16 with a standard deviation of $10. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the mean donation for the 41 Presbyterians that were observed is a different amount of money compared to the mean donation for the 44 Catholics that were observed. The results are statistically insignificant at α = 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 α = 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 insignificant at α = 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