Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $12. The 44 randomly observed members of the Catholic church donated an average of $28 with a standard deviation of $13. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: μ1 H₁: μ1 Ⓒ = O # = Ⓒ μ2 μ2 (please enter a decimal) (Please enter a decimal) c. The test statistic t = 2.158 (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 55 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 significant at a = 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 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. O The results are statistically insignificant a = 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.

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Answer parts d through g
Does the average Presbyterian donate a different amount of money compared to the average Catholic in
church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $29
with a standard deviation of $12. The 44 randomly observed members of the Catholic church donated an
average of $28 with a standard deviation of $13. What can be concluded at the a = 0.10 level of significance?
a. For this study, we should use t-test for the difference between two independent population means
b. The null and alternative hypotheses would be:
Ho: 1
H₁: μ1
O =
O
#
O μ2
O
μ2
(please enter a decimal)
(Please enter a decimal)
c. The test statistic t = 2.158 (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 55 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 significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean amount of money that Presbyterians donate a different amount of
money compared to the population mean amount of money that Catholics donate.
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.
O 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 a different amount of
money compared to the population mean amount of money that Catholics donate.
Transcribed Image Text:Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $12. The 44 randomly observed members of the Catholic church donated an average of $28 with a standard deviation of $13. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: 1 H₁: μ1 O = O # O μ2 O μ2 (please enter a decimal) (Please enter a decimal) c. The test statistic t = 2.158 (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 55 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 significant at a = 0.10, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate a different amount of money compared to the population mean amount of money that Catholics donate. 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. O 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 a different amount of money compared to the population mean amount of money that Catholics donate.
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