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.
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An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this
distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals
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, Pteen = 0.45, padult
0.20, and
%3D
%3D
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
A chi-square test for homogeneity
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A recent article published in Berry Weekly reported a probability distribution for the different types of jelly that individuals prefer. Editors from a competitive magazine, Jammin,
conducted their own study to test the distribution. The editors from Jammin surveyed a random sample of 50 individuals and recorded the observed counts of individuals for each
jelly type. They decided to test Berry Weekly's claim using a chi-square goodness-of-fit test using Jammin's observed counts compared with the number of expected counts based
on the Berry Weekly data.
Jammin Observed Counts
Berry Weekly Expected Counts
18
Strawberry (S)
16.5
12
Grape (G)
11
8.
Wild Berry (WB)
9.5
6.
Peach (P)
7.5
6.
Other (0)
5.5
Which of the following is the correct null hypothesis for the test?
0.075, Po
Ho : Ps = 0.165, PG = 0.11, PWB = 0.095, p, = = 0.055
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A
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Ho : Ps = 0.33, pG = 0.22, PWB = 0.19, p, =
0.15, Po
= 0.11
C
Ho : At least one of the proportions is different.
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1) Given data is appropriate for testing of hypothesis.
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