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# Test Statistic

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Refer to the following data.

Political
Affiliation Amount Contributed to Campaign
\$1-99 \$100-999 \$1,000 or more
Republican 600 650 555
Democrat 900 880 645
Socialist 56 45 22
All others 29 25 21

a. The above set of data is an example of what?
b. What makes this data non-parametric in nature?
c. What test statistic would be used to find whether there is any relationship between political affiliation and the amount contributed?
d. Determine whether there is a relationship between political affiliation and amount contributed.

##### Solution Summary

The relationship between the political affiliation and amount contributed is provided. The data being non-parametric in nature is determined. The solution answers the question(s) below.

##### Solution Preview

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Refer to the following data.

Political
Affiliation Amount Contributed to Campaign
\$1-99 \$100-999 \$1,000 or more
Republican 600 650 555
Democrat 900 880 645
Socialist 56 45 22
All others 29 25 21

a. The above set of data is an example of what?
The above set of data is an example of survey on how many people among Republican, Democrat, Socialist and others contributed certain amount of money to Campaign
b. What makes this data non-parametric in nature?
Since on variables nothing is known (concerning their distribution).
c. What test statistic would be used to find whether there is any relationship between political affiliation and the amount contributed?
The Chi-Squared test statistic ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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