25. 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 60 randomly observed members of the Catholic church donated an average of $22 with a standard deviation of $7. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0: p1 μ1 Select an answer < ≠ > = Select an answer p2 μ2 (please enter a decimal) H1: Select an answer p1 μ1 = < ≠ > p2 μ2 (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.01, 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 insignificant at αα = 0.01, 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 αα = 0.01, so there is sufficient eviden

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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25. 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 60 randomly observed members of the Catholic church donated an average of $22 with a standard deviation of $7. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0: p1 μ1 Select an answer < ≠ > = Select an answer p2 μ2 (please enter a decimal)

H1: Select an answer p1 μ1 = < ≠ > p2 μ2 (Please enter a decimal)

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer accept reject fail to reject the null hypothesis.
Thus, the final conclusion is that ...

The results are statistically insignificant at αα = 0.01, 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 insignificant at αα = 0.01, 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 αα = 0.01, 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 60 Catholics that were observed.
The results are statistically significant at αα = 0.01, 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.

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