Question

In: Statistics and Probability

When analyzing the last digits of telephone numbers in Sandtown, it was found that among 1500...

When analyzing the last digits of telephone numbers in Sandtown, it was found that among 1500 randomly selected phone numbers, 225 had zero as the last digit. If the digits are selected randomly, the proportion of zeroes should be 0.1 because from probability, 0 is one of the 10 possible digits.

  1. Use the p-value method with a 0.01 level of significance to test the claim that the proportion of zeroes is not equal to 0.1. Be sure to use the procedure given on page 401 in the textbook.
  2. Use the sample data to construct a 99% confidence interval to estimate the proportion of zeroes. What does the    confidence interval suggest about the claim that the proportion of zeroes is 0.1?
  3. Compare the results from the hypothesis test and confidence interval. Do they lead to the same conclusion? Why or why not?

Use Stat Disk, TI-84 calculator, or CrunchIt to do these calculations but be sure to include the printout in your post.

Solutions

Expert Solution

since 0.10 is outside the confidence interval

we can say that there is sufficient evidence to support the claim.

yes, confidence interval and hypothesis testing both results into same conclusion.

since for hypothesis testing p-value < 0.01

and in confidence interval 0.10 lies outside the confidence limit.

orchestra answered 2 years ago
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