For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions  The null and alternative hypotheses would be:        H0:H0:  Select an answer p1 μ1  Select an answer ≠ > = <  Select an answer p2 μ2  (please enter a decimal)     H1:H1:  Select an answer p1 μ1  Select an answer < = ≠ >  Select an answer p2 μ2  (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 58 randomly observed members of the Presbyterian church donated an average of $24 with a standard deviation of $15. The 42 randomly observed members of the Catholic church donated an average of $31 with a standard deviation of $7. 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 dependent population means z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions 
  2. The null and alternative hypotheses would be:   
  3.   

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

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

  1. The test statistic ? z t  =  (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 insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is less than 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 less than 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 58 Presbyterians that were observed is less than the mean donation for the 42 Catholics that were observed.
    • 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.
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