# What is the expected frequency for people who are undecided about the project?

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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: Front-Footage -- Under 45 feet: 12 (for) 4 (undecided) 4 (against) 45-120 feet: 35 (for) 5 (undecided) 30 (against) Over 120 feet: 3 (for) 2 (undecided) 5 (against) - How many degrees of freedom are there? - What is the critical value at the 5% level of significance? - What is the critical value at the 10% level of significance? - What is the expected frequency for people who are undecided about the project and have property front-footage between 45 and 120 feet? - What is the expected frequency for people who are in favor of the project and have less than 45 feet of property foot-frontage?

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##### Solution Summary

This is a hypothesis-testing problem. Here we need to set up the hypotheses to test whether the resulting opinion was related to the distance of front footage. This solution is formatted in the attached Word document in 437 words.

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- 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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