14. A statistician working for the Atlanta Police Department believes that the proportion of reported car accidents involving cell phone use in Atlanta differs from the national reported proportion of 26%. Suppose that, from a sample of 500 accident reports, she finds 120 cases of auto accidents that involved the use of cell phones. At the 0.01 level of significance, which of the following statements provides the best conclusion based on her test results? a. We have evidence the true percent of car accidents involving cell phone use is less than 26%. b. We have evidence the true percent of car accidents involving cell phone use is equal to 26%. c. We do not have sufficient evidence to conclude that the true percent of car accidents involving cell phone use differs from 26%. d. We have evidence the true percent of car accidents involving cell phone use is greater than 26%.

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A:

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.