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χ2 test statistic =

Short Answer

Expert verified

The value of X2test statistics is 2016.13.

Step by step solution

01

Given Information

The following data are real. The cumulative number of AIDS cases reported for Santa Clara County is broken down by ethnicity as in Table 11.29.

EthnicityNumber of CasesWhite2,229Hispanic1,157Black/African-American457Asian, Pacific Islander232Total=4,075

The percentage of each ethnic group in Santa Clara County is as in Table 11.30.

EthnicityPercentage of total countypopulationNumber expected (round to twodecimal places)White42.9%1748.18Hispanic26.7%BlacklAfrican-American2.6%Asian, PacificIslander27.8%Total=100%

02

Explanation

The number of cases per ethnic group is calculated as:EthnicityPercentage of total countypopulationNumber Expected(round to two decimalplaces)White42.9%1748.18Hispanic26.7%26.7100×4075=1088.03Black / African-American2.6%2.6100×4075=105.95Asian, Pacific Islander27.8%27.8100×4075=1132.85EthnicityPercentage of total countypopulationNumber Expected(round to two decimalplaces)White42.9%1748.18Hispanic26.7%26.7100×4075=1088.03Black / African-American2.6%2.6100×4075=105.95Asian, Pacific Islander27.8%27.8100×4075=1132.85

03

Explanation

We'll now use the steps below to calculate the X2test statistic.

In the first column of the excel sheet, we write the expected frequencies.

2. In the first column of the excel sheet, record the observed frequencies.

3. Add a column to your spreadsheet with the heading (Observed - Expected)

4. Create a new column to calculate the square of the original (Observed - Expected)

5. Divide the square of (Observed - Predicted) by the expected frequency of each observation in the last column.

6. Finally, add the last two columns together.

Now, in Excel, perform the following calculation:

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Most popular questions from this chapter

Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors.

MajorMen - Expected MajorMen - Actual MajorArts & Humanities11.0%600Biological Sciences6.7%330Business22.7%1130Education5.8%305Engineering15.6%800Physical Sciences3.6%175Professional9.3%460Social Sciences7.6%370Technical1.8%90Other8.2%400Undecided6.6%340

Determine the appropriate test to be used in the next three exercises.

An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day's trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.

Use the following information to answer the next nine exercise: The following data are real. the cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table 11.29

The percentage of each ethnic group in Santa Clary Country is as in Table shown below

H0:------

Refer back to the information in Try It. How many service providing jobs are there expected to be in 2020 ? How many nonagriculture wage and salary jobs are there expected to be in 2020?

Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that 280recent brides were interviewed as to where they spent their honeymoons. The information is given in Table 11.46. Conduct a test of independence

Location20-2930-3940-4950and over
Niagara Falls15252520
Poconos15252510
Europe1025155
Virgin Islands2025155
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