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# Degrees of Freedom

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For the attached, I need to know the following:

-How many degrees of freedom (and how to figure it out)
-critical value at 5% significance and 10% significance
-expected frequency for people who are both in favor of the project and under 45 feet of property front-footage (have NO idea how to figure out expected frequency)
-expected frequency for people against the project with over 120 feet of property front-footage

(A survey of the opinions of property owners about a street widening project was taken
to determine whether the resulting opinion was related to the distance of front footage.
A randomly selected sample of 100 property owners was contacted and the results are
shown below: see attachment)

##### Solution Summary

-How many degrees of freedom (and how to figure it out)
-critical value at 5% significance and 10% significance
-expected frequency for people who are both in favor of the project and under 45 feet of property front-footage (have NO idea how to figure out expected frequency)
-expected frequency for people against the project with over 120 feet of property front-footage

A survey of the opinions of property owners about a street widening project was taken
to determine whether the resulting opinion was related to the distance of front footage.
A randomly selected sample of 100 property owners was contacted and the results are
shown below.

Opinion
Front-Footage For Undecided Against
Under 45 feet 12 4 4
45 - 120 feet 35 5 30
Over 120 feet 3 2 5

Solution provided by:
###### 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!"

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.