Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 40 randomly observed members of the Presbyterian church donated an average of $22 with a standard deviation of $6. The 41 randomly observed members of the Catholic church donated an average of $26 with a standard deviation of $12. What can be concluded at the αα = 0.10 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 a population proportion? z-test for the difference between two population proportions? or t-test for a population mean? The null and alternative hypotheses would be?      H0: Select an answer:  μ1 or p1?  Select an answer: >,  ≠,  =, or < ?  Select an answer: p2  or  μ2 ? (please enter a decimal)     H1: Select an answer p1 or μ1 ?  Select an answer <, =,  ≠, or > ?  Select an answe:  p2  or  μ2 ?  (Please enter a decimal) 3. The test statistic:  z  or t ?  =______  (please show your answer to 3 decimal places.) 4. The p-value = _______ (Please show your answer to 4 decimal places.) 5. The p-value is ? ≤ or >   6. Based on this, we should? Select an answer accept? fail to reject? or reject? the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 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. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean donation for the 40 Presbyterians that were observed is a different amount of money compared to the mean donation for the 41 Catholics that were observed. The results are statistically insignificant at αα = 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. The results are statistically significant at αα = 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 40 randomly observed members of the Presbyterian church donated an average of $22 with a standard deviation of $6. The 41 randomly observed members of the Catholic church donated an average of $26 with a standard deviation of $12. What can be concluded at the αα = 0.10 level of significance?  

  1. 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 a population proportion? z-test for the difference between two population proportions? or t-test for a population mean?
  2. The null and alternative hypotheses would be? 
  3.   

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

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

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

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

5. The p-value is ? ≤ or >  

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

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

  • The results are statistically insignificant at αα = 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.
  • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean donation for the 40 Presbyterians that were observed is a different amount of money compared to the mean donation for the 41 Catholics that were observed.
  • The results are statistically insignificant at αα = 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.
  • The results are statistically significant at αα = 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.
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