From previous studies, it is concluded that 50% of workers were employed from networking. A researcher claims that the proportion is smaller than 50% and decides to survey 500 working adults. Test the researcher's claim at the a=0.05 significance level. Is it safe to assume that n≤0.05 of all subjects in the population? No Yes Verify np(1-p)≥10. Round your answer to one decimal place.np(1-p)=  The null and alternative hypotheses are Ho: μ =0.5Ha:μ ≠0.5 Ho:p≤0.5Ha:p>0.5 Ho:p=0.5Ha:p≠0.5 Ho:μ ≤0.5Ha:μ >0.5 Ho:μ ≥0.5Ha:μ <0.5 Ho: p≥0.5Ha :p<0.5 The test is    a.right-tailed or b. two-tailed  or c. left-tailed Based on the sample of 500 people, 45% workers were employed from networking. What is the test statistic? Round your answer to two decimal places.     What is the p-value? Round your answer to four decimal places.  Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. Make a conclusion. There is not sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level. There is sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.

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Author:Amos Gilat
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From previous studies, it is concluded that 50% of workers were employed from networking. A researcher claims that the proportion is smaller than 50% and decides to survey 500 working adults. Test the researcher's claim at the a=0.05 significance level.

  1. Is it safe to assume that n≤0.05 of all subjects in the population?
    • No
    • Yes


  2. Verify np(1-p)≥10. Round your answer to one decimal place.

    np(1-p)= 
  3. The null and alternative hypotheses are
    • Ho: μ =0.5
      Ha:μ ≠0.5
    • Ho:p≤0.5
      Ha:p>0.5
    • Ho:p=0.5
      Ha:p≠0.5
    • Ho:μ ≤0.5
      Ha:μ >0.5
    • Ho:μ ≥0.5
      Ha:μ <0.5
    • Ho: p≥0.5
      Ha :p<0.5


  4. The test is
        a.right-tailed or b. two-tailed  or c. left-tailed
  5. Based on the sample of 500 people, 45% workers were employed from networking. What is the test statistic? Round your answer to two decimal places.
        

  6. What is the p-value? Round your answer to four decimal places.
     

  7. Make a decision.
    • Do not reject the null hypothesis.
    • Reject the null hypothesis.


  8. Make a conclusion.
    • There is not sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.
    • There is sufficient evidence that the proportion of people who workers were employed from networking is smaller than 50% at the a=0.05 significance level.
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