In a random sample of 600 cars making a right turnat a certain intersection, 157 pulled into the wrong lane. Use the 0.05 level of significance to test the null hypoth-esis that the actual proportion of drivers who make this mistake at the given intersection is θ = 0.30 against thealternative hypothesis θ Z 0.30.
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.
In a random sample of 600 cars making a right turn
at a certain intersection, 157 pulled into the wrong lane.
Use the 0.05 level of significance to test the null hypoth-
esis that the actual proportion of drivers who make this
mistake at the given intersection is θ = 0.30 against the
alternative hypothesis θ Z 0.30.
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