MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

You wish to test the following claim π1>π2 at a significance level of 0.002.

      Ho:π1=π2
      Ha:π1>π2

You obtain 90.6% successes in a sample of size n1=415 from the first population. You obtain 83.8% successes in a sample of size n2=414

from the second population. Use the Theory-based inference applet to conduct this test of significance.

(a)  What is the z-score for this sample?
      z-score =   (Report answer accurate to two decimal places.)

(b)  What is the p-value for this sample?
      p-value =   (Report answer accurate to four decimal places.)

(c)  The p-value is...

  • less than (or equal to) α
  •  
  • greater than α
  •  

 

(d)  This p-value leads to the following conclusion:

  • we have statistically significant evidence to support the alternative hypothesis
  • the null hypothesis is true
  • the null hypothesis is plausible
  • the alternative hypothesis is true

 

(e)  As such, the final conclusion is that...

  • We conclude that the first population proportion is equal to the second population proportion.
  • We conclude that the first population proportion is greater than the second population proportion.
  • We have statistically significant evidence that the first population proportion is greater than the second population proportion.
  • It is plausible that the first population proportion is equal to the second population proportion.
Expert Solution
Check Mark
Step 1

The given hypothesis is,

H0:π1=π2 Vs Ha:π1>π2

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