In an initial drugs test, 5.8% of job applicants tested negative. It is claimed that now the rate is lower. A random sample of 1520 current job applicants ended in 58 negative results. Construct a 95% confidence interval for p, the true proportion of negative results in the population (classical form).  Conduct a statistical test of hypothesis on this claim at the 0.01 level of significance, by the same 5 steps . Step 1. Hypotheses and significance level:   H0:                                        Ha:                                             a = Step 2. Test Statistic and its sampling distribution under H0: Step 3. Observed value of the test statistic: Step 4. P-value under H0: Step 5. Decision and conclusion (interpretation of the result):

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In an initial drugs test, 5.8% of job applicants tested negative. It is claimed that now the rate is lower. A random sample of 1520 current job applicants ended in 58 negative results.

  1. Construct a 95% confidence interval for p, the true proportion of negative results in the population (classical form). 
  2. Conduct a statistical test of hypothesis on this claim at the 0.01 level of significance, by the same 5 steps .

    Step 1. Hypotheses and significance level:  

    H0:                                        Ha:                                             a =

    Step 2. Test Statistic and its sampling distribution under H0:

    Step 3. Observed value of the test statistic:

    Step 4. P-value under H0:

    Step 5. Decision and conclusion (interpretation of the result):

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