I need help with this question for parts b-d **Comparison of Average Sunday Church Donations: Presbyterians vs. Catholics***Research Question:* Does the average Presbyterian donate more than the average Catholic in church on Sundays?*Study Details:*- **Presbyterian Donations:** - Sample Size: 56 members - Average Donation: $21 - Standard Deviation: $5- **Catholic Donations:** - Sample Size: 46 members - Average Donation: $16 - Standard Deviation: $15*Analysis at α = 0.01 Level of Significance:*1. **Statistical Test Selection:** - For this study, we need to use a **two-sample t-test**.2. **Hypotheses:** - **Null Hypothesis (H₀):** - μ₁ ≤ μ₂ (The mean donation by Presbyterians is less than or equal to the mean donation by Catholics) - **Alternative Hypothesis (H₁):** - μ₁ > μ₂ (The mean donation by Presbyterians is greater than the mean donation by Catholics)3. **Test Statistic Calculation:** - The test statistic is calculated using the given sample sizes, means, and standard deviations.4. **P-value Determination:** - The **p-value** is obtained from the t-distribution table or by using statistical software.5. **Comparison Decision:** - **Compare the p-value with α (0.01):** - If the p-value is less than 0.01, we reject the null hypothesis (indicating significant evidence). - If the p-value is greater than 0.01, we do not reject the null hypothesis (indicating insufficient evidence).6. **Conclusion:** - Based on the p-value and the test statistic, conclude if there is significant evidence to state that Presbyterians donate more on average than Catholics.*How to Interpret the Results:*- If results are **statistically significant** at α = 0.01: - We have sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of money that Catholics donate.- If results are **statistically insignificant** at α = 0.01: - There is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is more than the population mean amount of

Name: I need help with this question for parts b-d **Comparison of Average S
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Description: I need help with this question for parts b-d **Comparison of Average Sunday Church Donations: Presbyterians vs. Catholics***Research Question:* Does the average Presbyterian donate more than the average Catholic in church on Sundays?*Study Details:*-