Question

In: Statistics and Probability

The Dubai traffic department believes that at least twenty-five percent of the drivers stopped on a...

The Dubai traffic department believes that at least twenty-five percent of the drivers stopped on a given day are using their cell phones. Assume that a sample of 75 drivers were stopped on Friday and it was found that nine drivers in the sample were using their cell phones.

  1. State the null and alternative hypotheses.

  2. Test the hypotheses at the 5% significance level. What is the p-value of the test?

  3. Do you have evidence to conclude that at least twenty-five percent of the drivers are using their cell

    phones?

  4. Explain in words what the p-value you found in part b means/tells you.

  5. What type of error you can commit here? What are the implications of this error?

Solutions

Expert Solution

Ho :p >= 0.25

Ha: p < 0.25

X = 9

n = 75

since we fail to reject the null hypothesis , we could have made type ii error


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