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In: Statistics and Probability

It is claim that the proportion of defective items produced by a particular machine is more...

It is claim that the proportion of defective items produced by a particular machine is more than 0.1

  1. Letting π represents the proportion of defective items produced by a particular machine, set up the null and alternative hypotheses needed to provide evidence supporting the claim.
  2. By using the significance level of α = 0.05, show the rejection area for the test statistics.
  3. A random sample of 100 items is inspected and found to contain 15 defective items. Calculate the test statistics, Z, to test the claim.
  4. Make a conclusion on the claim made.
  5. Suppose that, for a sample of size n = 50 measurements, we find that x = 12. Assuming that  equals 6, construct a 99% confidence interval for the population mean µ. Interpret the answer.

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