a local jazz station, has hired you as a research consultant to determine which demographic groups should be the radio station market. In particular, the station believes that there is a difference between men and women in terms of their opinions of jazz music. By randomly sampling men and women from the Houston metropolitan region, you calculate the results in Table 1. You also calculate a gamma of .064 and a chi-square of 1.99 with 2 degrees of freedom from the table. Note that the measure of association (gamma) of .064 indicates a very weak relationship between gender and like of jazz. In a paragraph of at least five to six sentences, discuss whether the percent distribution of the cross-tab, the measure of association, and chi-square supports, or does not support, the station’s hypothesis. Ensure that you mention hypothesis how the IV percent distribution changes in relationship to the DV what level of significance you used, and how the chi-square obtained from the sample compares to its critical value whether the results obtained from the sample are statistically significant, and what your results indicate (reject, or do not reject, the hypothesis) Table 1: Relationship between Like of Jazz and Gender · Opinion of Jazz · Men · Women · Like · 52.6% · 49.0% · Neutral · 24.9% · 26.1% · Dislike · 22.5% · 25.0% · TOTAL · 100% · 100%
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.
- Z, a local jazz station, has hired you as a research consultant to determine which demographic groups should be the radio station market. In particular, the station believes that there is a difference between men and women in terms of their opinions of jazz music. By randomly sampling men and women from the Houston metropolitan region, you calculate the results in Table 1. You also calculate a gamma of .064 and a chi-square of 1.99 with 2 degrees of freedom from the table. Note that the measure of association (gamma) of .064 indicates a very weak relationship between gender and like of jazz.
In a paragraph of at least five to six sentences, discuss whether the percent distribution of the cross-tab, the measure of association, and chi-square supports, or does not support, the station’s hypothesis. Ensure that you mention
- hypothesis
- how the IV percent distribution changes in relationship to the DV
- what level of significance you used, and how the chi-square obtained from the sample compares to its critical value
- whether the results obtained from the sample are statistically significant, and what your results indicate (reject, or do not reject, the hypothesis)
- Table 1: Relationship between Like of Jazz and Gender
|
· Opinion of Jazz |
· Men |
· Women |
|
· Like |
· 52.6% |
· 49.0% |
|
· Neutral |
· 24.9% |
· 26.1% |
|
· Dislike |
· 22.5% |
· 25.0% |
|
· TOTAL |
· 100% |
· 100% |
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