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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

What can you conclude at the 5% significance level ?

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