Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level. The null and alternative hypothesis would be: Ho:p > 0.2 Ho:p= 0.2 Ho:µ < 0.2 Ho:µ > 0.2 Ho:µ = 0.2 Họ:p<0.2 ở H1:p < 0.2 H:p+0.2 H1:µ > 0.2 H1:µ < 0.2 H1: µ # 0.2 H1:p > 0.2 The test is: left-tailed two-tailed right-tailed o Based on a sample of 700 people, 11% owned cats The p-value is: 0.06 x (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
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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