Question

1. A study done by the municipal transportation authority determined that 58% of all drivers were speeding along a busy street. In an attempt to reduce this percentage, the city put up electronic speed monitors so that drivers would be warned if they were driving over the speed limit. A follow-up study was then done to see if the speed monitors had been effective. The follow-up study recorded the speeds of 150 drivers along the street. The null and alternative hypotheses were:

[Ho: pi = 0.58; Ha: pi < 0.58]

1. To what does the p in the null and alternative hypotheses refer?
   1. The proportion of drivers who were speeding after the installation of the speed monitors.
   2. The proportion of drivers who were speeding before the installation of the speed monitors.
   3. The proportion of drivers in the sample who were speeding.
      
2. If the test is conducted at the alpha = 0.05 level, use the normal approximation to find the rejection region for p-hat.
   
3. Suppose the true value of pi is 0.56. Without doing the calculation, is the power of the test greater than, the same as, or less than the power you calculated above?
   
4. Suppose the true value of pi is 0.52. Use the normal approximation to find the power of the test.

Answer 1

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