Question

In: Statistics and Probability

The CDC estimates that 20% of people in the US between the ages of 15 and...

The CDC estimates that 20% of people in the US between the ages of 15 and 24 have an STI. Suppose we do a test at a local college campus and find that 11 out of 117 people tested have an STI. Is this random variation or does this school have a lower than average level of infection?

  • What test should we perform and why?
  • What is your null and alternative hypothesis?
  • Perform the test. What is the test statistic and what is the p value?
  • What is your conclusion? Based on the data above, does this school have a higher than average level of infection or is this random variation?

Solutions

Expert Solution

For the problem One proportion Z test is used.

As H0 is Rejected, we conclude that the school have lower than 0.20 level of inflation.

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