Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 53 randomly observed members of the Presbyterian church donated an average of $30 with a standard deviation of $5. The 59 randomly observed members of the Catholic church donated an average of $35 with a standard deviation of $13. What can be concluded at the o = 0.10 level of significance? a. For this study, we should use |Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer |Select an answer | |Select an answer | (please enter a decimal) H1: Select an answer v| Select an answer v|Select an answer | (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should |Select an answer v| the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically insignificant at o = 0.10, 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. The results are statistically significant at o = 0.10, 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 o = 0.10, so there is sufficient evidence to conclude that the mean donation for the 53 Presbyterians that were observed is a different amount of money compared to the mean donation for the 59 Catholics that were observed. The results are statistically insignificant at @ = 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.2 Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for ten randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 8 12 9 7 14 6 9 14 8 13 Sisters: 5 8 9 7 9 5 9 3 5 5 Assume both follow a Normal distribution. What can be concluded at the or = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v| Select an answer v (please enter a decimal) H1 : Select an answer v Select an answer v | Select an answer v (Please enter a decimal) b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? v a . Based on this, we should Select an answer v | the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the ten fraternity brothers that were surveyed is more than the mean volunteer work hours for the thirteen sorority sisters that were surveyed. The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at o = 0.05, so there is statistically significant evidence to conclude that the population mean volunteer hours for fraternity brothers is equal to the population mean volunteer work hours for sorority sisters. O The results are statistically insignificant at o = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters