Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 60 randomly observed members of the Presbyterian church donated an average of $28 with a standard deviation of $9. The 59 randomly observed members of the Catholic church donated an average of $30 with a standard deviation of $15. What can be concluded at the αα = 0.10 level of significance?   For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two independent population means t-test for the difference between two dependent population means  The null and alternative hypotheses would be:        H0:H0:  Select an answer p1 μ1  Select an answer ≠ > = <  Select an answer μ2 p2  (please enter a decimal)     H1:H1:  Select an answer μ1 p1  Select an answer < ≠ = >  Select an answer μ2 p2  (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 reject fail to reject accept  the null hypothesis. 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 60 Presbyterians that were observed is a different amount of money compared to the mean donation for the 59 Catholics that were observed. 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. 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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 60 randomly observed members of the Presbyterian church donated an average of $28 with a standard deviation of $9. The 59 randomly observed members of the Catholic church donated an average of $30 with a standard deviation of $15. What can be concluded at the αα = 0.10 level of significance?  

  1. For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two independent population means t-test for the difference between two dependent population means 
  2. The null and alternative hypotheses would be:   
  3.   

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

 H1:H1:  Select an answer μ1 p1  Select an answer < ≠ = >  Select an answer μ2 p2  (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 reject fail to reject accept  the null hypothesis.
  5. 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 60 Presbyterians that were observed is a different amount of money compared to the mean donation for the 59 Catholics that were observed.
    • 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.
    • 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
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