Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $24 with a standard deviation of $5. The 42 randomly observed members of the Catholic church donated an average of $26 with a standard deviation of $8. What can be concluded at the α = 0.10 level of significance?
For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully:
Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $24 with a standard deviation of $5. The 42 randomly observed members of the Catholic church donated an average of $26 with a standard deviation of $8. What can be concluded at the α = 0.10 level of significance?
a. What statistical test should be used?
b State the Null and Alternative Hypotheses
c. Find the test statistic to 3 decimal places
d. Find the p-value correct to 4 decimal places
e. Should the Null hypothesis be rejected? Why or Why Not?
f. State the conclusion in the context of the problem
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