Please use the information below to answer all questions. The following crosstabulation compares U.S. states in regard to the sampled population’s stated ideology in each state, and the amount of defense expenditures per capita in the state. The percentage in each cell is a column percentage. Defense expenditures per capita * percentage of state population liberal Cross-tabulation Less than 20% Greater than or equal to 20% Total defense expenditures per capita Less than $800 Count % within percentage of state population liberal 18 60.0% 9 45.0% 27 54.0% $800 and higher Count % within percentage of state population liberal 12 40.0% 11 55.0% 23 46.0% Total Count % within percentage of state population liberal 30 100.0% 20 100.0% 50 100.0 % 1) Calculate a Chi-square statistic for the above cross-tabulation. Be sure to show your work in calculating the expected frequency for each cell of the crosstabulation 2) On the basis of your calculation, do you accept or reject the null hypothesis? Please explain your reasoning, and please state the null hypothesis in your answer
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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Please use the information below to answer all questions.
The following crosstabulation compares U.S. states in regard to the sampled population’s stated ideology in each state, and the amount of defense expenditures per capita in the state. The percentage in each cell is a column percentage. Defense expenditures per capita * percentage of state population liberal Cross-tabulation
1) Calculate a Chi-square statistic for the above cross-tabulation. Be sure to show your work in calculating the expected frequency for each cell of the crosstabulation 2) On the basis of your calculation, do you accept or reject the null hypothesis? Please explain your reasoning, and please state the null hypothesis in your answer |
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