QUESTION 12 Out of the sample of 70 female students observed, 28 of those said they cooked regularly. Out of the sample of 85 males students observed, 17 of those said they cooked regularly. Researchers wish to compare the proportion of the population of female NUIG students who cook regularly, p1, and the proportion of male NUIG students who cook regularly p2. Using these statistics calculate and interpret a 95% Confidence Interval for p1 - P2. • An estimate of the difference in population proportions is The standard error is (3 dec places). The distributional cutoff is value The 95% confidence interval is between and -(2 dec places)
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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