Assume that we are estimating 2 different police officers\' service pistol shoot
ID: 3210179 • Letter: A
Question
Assume that we are estimating 2 different police officers' service pistol shooting accuracy. The first officer practices almost daily year round. After watching that officer shoot, we estimate that he will make 85% (.85) of the time. The second officer is similarly observed and his accuracy is estimated at 15%. How many hits must the first officer make in a row before you can confidently reject the following null hypothesis (Use the 95% level of confidence):
How many hits must the second officer make in a row in order to confidently reject the same null hypothesis? Use the 95% level of confidence.
Explanation / Answer
ANSWER:
To reject the null hypothesis, the cut-off p-value would be 0.05, i.e the z-score would be less than -1.645. From the tables, for p = 0.85 we have n = 196. Therefore, the first player make 196 free throws in a row before you can confidently reject the given null hypothesis. And for p = 0.15, n = 33.