distribution of age category for individuals buying season passes is different from what the amusement pärk člaims. The tourist compahy Pandomly sampled 200 IHUlviduais entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park's claim, which is reflected in the following null hypothesis. Ho : Pchild = 0.23, peen = 0.45, Padult = 0.20, and Psenior = 0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is different from what the amusement park claims? A A one-sample z-test for a population proportion A two-sample z-test for a difference between population proportions C A matched pairs t-test for a mean difference D A chi-square test for homogeneity
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.
1) Given data is appropriate for testing of hypothesis.
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