A De Anza student decided to determine whether the percent of men who participate in sports at De Anza College is higher than the percent of women who participate in sports at De Anza College. Out of 67 women, 12 said they participate in sports. 13 of the 45 men surveyed said they participate in sports. a. ) What are the type I and type II errors? Explain them in the context of this problem. b. ) Describe the sample statistics in words. What is the distribution of the sample statistic? Explain why you used this distribution.
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.
A De Anza student decided to determine whether the percent of men who participate in sports at De Anza College is higher than the percent of women who participate in sports at De Anza College. Out of 67 women, 12 said they participate in sports. 13 of the 45 men surveyed said they participate in sports.
a. ) What are the type I and type II errors? Explain them in the context of this problem.
b. ) Describe the sample statistics in words. What is the distribution of the sample statistic? Explain why you used this distribution.
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