Question

Chapter 10: Hypothesis Test for a Difference of 2 Means (Independent)

Please help with the whole problem.

Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 48 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $14. The 49 randomly observed members of the Catholic church donated an average of $33 with a standard deviation of $7. What can be concluded at the a = 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 (please enter a decimal) Hı: Select an answer ? Select an answer (Please enter a decimal) c. The test statistic ? = (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 ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean donation for the 48 Presbyterians that were observed is less than the mean donation for the 49 Catholics that were observed. The results are statistically insignificant at a=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 insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is less than the population mean amount of money that Catholics donate. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is less than the population mean amount of money that Catholics donate.

Answer 1

Ex-) DATELLID ANS) apveno Let us consider 1. Members of Presbyterian Church 22: Members of Catholic Church, 22:33 1:29 %=14 DI=48 Q=0.10 02:49 for this study, we should use Potesti The To test hypothesis Ho: lead2 vs HI : 4, 542 o Test statistic B- Leal - a.se Di na 29-23 CU 202546 148 49 Lcal = -107742 d p-value = p ma <Zcall - PI 2011-1:77021 | p-value = 0.038015 (from 2 table The p-value is less than a=0.1 A Based on this coe should reject the null hypoths conclusion or Option ® is correct. PAGE