We are interested in looking at the effect of a baseball player’s free-agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. 1. What are the four expected counts? 2. Verify the expected counts using the equation: ???????? = ??? ????? × ??????????? ÷ ????? ????? 3. The given χ2 test table gives many test statistics. The row we want to look at is labeled Pearson Chi-Square. What are the test statistic, the degrees of freedom, and the p-value
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.
We are interested in looking at the effect of a baseball player’s free-agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not.
1. What are the four expected counts?
2. Verify the expected counts using the equation:
???????? = ??? ????? × ??????????? ÷ ????? ?????
3. The given χ2 test table gives many test statistics. The row we want to look at is labeled Pearson Chi-Square. What are the test statistic, the degrees of freedom, and the p-value?
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