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 following 5 steps. Step 1. Hypotheses and significance level: Ho: Ha: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: 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 following 5 steps.
Step 1. Hypotheses and significance level:
Но:
На:
a =
Step 2. Test Statistic and its sampling distribution under Ho:
Step 3. Observed value of the test statistic:
Step 4. P-value under Ho:
Step 5. Decision and conclusion (interpretation of the result):
Transcribed Image Text: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 following 5 steps. Step 1. Hypotheses and significance level: Но: На: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result):
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