Question

-In order to receive full points, you must answer each question in detail, provide a sketch of your work, calculations or explain in detail how you obtained the result.

​​​​​​​The dataset that we will investigate is Public Health Statistics for the City of Chicago by neighborhood which represents the years 2005-2011. The data contains 27 variables with measures such as death rates, birthrates, Assault, Breast Cancer, Diabetes, per Capita Income and many other measures. The dataset represents 77 area (neighborhoods) in the City of Chicago which we will treat as individual observations n=77 as it has been estimated through different sampling methods and sources. The data is provided by the department of Public Health and the U.S Census Bureau.

1. Look through the data set and the different variables provided. Why would the City of Chicago care about collecting such information for its residents? Explain.

2. For the variable Cancer (All Sites) (this is the number of instances of cancer per 100,000) for all neighborhoods create a histogram with minimum five classes.

3. Describe the Shape of the histogram that you created for the variable per Cancer (All Sites).

4. Calculate the five-number summary for the variable Cancer (All Sites), and represent it using a box plot.

5. In detail, summarize what the information that the five-number summary for the variable Cancer (All Sites) provides for the City of Chicago.

6. Calculate the Mean and Standard deviation for the variable Cancer (All Sites).

7. Calculate the margin of error for a 90% confidence interval for the population mean of the variable Cancer (All Sites).

8. Determine the 90% Confidence Interval for the population mean of the variable Cancer (All Sites).

9. Interpret the 90% Confidence Interval for the population mean of the variable Cancer (All Sites)

10. A researcher claims that the mean rate of Infant mortality in the City of Chicago is below 9.3 %. Based on the data represented for the years 2005 – 2011, perform a hypothesis test to test his claim using a significance level of α = 0.10.

11. Would your conclusion change for question 10 if you used a significance level of α = 0.05? Explain.

12. A survey conducted at Chicago Public Schools (CPS) involving high school students on whether they had participated in binged drinking during the past month. Binge drinking was defined as 5 or more drinks in a row on one or more of the past 30 days.

Number who identified as having participated in Binge Drinking.

73

Total participants

571

a. From the sample data is there evidence that the proportion of students who participate in binge drinking is greater than 10%? Write a null and alternative hypothesis and perform an appropriate significance test using α=0.025.

b. Construct a 95% Confidence Interval for the population proportion. Does it support the same conclusion as in 12a? Explain.

Answer 1

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Explanation: