Does the average Presbyterian donate (μ1μ1) a different amount of money compared to the average Catholic (μ2μ2) in church on Sundays? The 59 randomly observed members of the Presbyterian church...

Does the average Presbyterian donate (μ1μ1) a different amount of money compared to the average Catholic (μ2μ2) in church on Sundays? The 59 randomly observed members of the Presbyterian church donated an average of $29 with a standard deviation of $14. The 40 randomly observed members of the Catholic church donated an average of $23 with a standard deviation of $5. What can be concluded at the αα = 0.01 level of significance?

1. For this study, what sampling distribution should be used? Select an answer standard normal distribution binomial distribution uniform distribution Student t distribution


2. The null and alternative hypotheses would be:

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

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

1. The test statistic ? t z  = (please show your answer to 3 decimal places.)


2. The p-value = (Please show your answer to 4 decimal places.)


3. The p-value is ? ≤ >  αα


4. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean donation for the 59 Presbyterians that were observed is a different amount of money compared to the mean donation for the 40 Catholics that were observed.
   
   
   • 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 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.
   
   
   • 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.