What evidence justifies the use of this test? Check all that apply The sample standard deviation is not known The sample size is larger than 30 np^>5 and nq^>5 The population standard deviation is known There are two different samples being compared The original population is approximately normal The population standard deviation is not known

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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A researcher claims that 30% of individuals who take a particular type of drug will develop side effects. To test this claim, you form a random sample of 264 individuals who are taking this drug, of which 67 developed side effects. Test the researcher's claim at α=0.01.

  1. What type of test will be used in this problem?
         

  2. What evidence justifies the use of this test? Check all that apply
    • The sample standard deviation is not known
    • The sample size is larger than 30
    • np^>5 and nq^>5
    • The population standard deviation is known
    • There are two different samples being compared
    • The original population is approximately normal
    • The population standard deviation is not known


  3. Enter the null hypothesis for this test.
    H0                

  4. Enter the alternative hypothesis for this test.
    Ha:                

  5. Is the original claim located in the null or alternative hypothesis?
       

  6. What is the test statistic for the given statistics?


  7. What is the p-value for this test?


  8. What is the decision based on the given statistics?
          

  9. What is the correct interpretation of this decision?

    Using a % level of significance, there     sufficient evidence to      the claim that 30% of individuals who take a particular type of drug will develop side effects
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