The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 119 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use a = 0.05. What are we testing in this problem? single mean O single proportion (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Ho: p = 0.36; H1: p < 0.36 Ho: µ = 0.36; H1: µ ± 0.36 Ho: p = 0.36; H1: p # 0.36 Ho: µ = 0.36; H1: µ < 0.36 Ho: µ = 0.36; H1: µ > 0.36 Ho: p = 0.36; H1: p > 0.36
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.
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