MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Chi-Square Test of Independence: Flu Shot and Flu Incidence

You are conducting a test of independence to examine if getting the flu is independent of whether or not you got a flu shot. Use \(\alpha = 0.05\). Report all answers accurate to four decimal places.

Here is the sample data:

| Category            | Got the Flu | Did not get the Flu |
|---------------------|-------------|---------------------|
| Got Flu Shot        | 18          | 118                 |
| Did not get Flu Shot| 51          | 19                  |

#### Expected Observations

The expected observations for this table would be:

| Category            | Got the Flu | Did not get the Flu |
|---------------------|-------------|---------------------|
| Got Flu Shot        |             |                     |
| Did not get Flu Shot|             |                     |

#### Chi-Square Calculation

The resulting \(\frac{(O - E)^2}{E}\) for finding the test are:

| Category            | Got the Flu | Did not get the Flu |
|---------------------|-------------|---------------------|
| Got Flu Shot        |             |                     |
| Did not get Flu Shot|             |                     |

#### Chi-Square Test Statistic

What is the chi-square test-statistic for this data? (add the results from the previous table)

\[
\chi^2 = 
\]

#### P-Value Calculation

What is the p-value for this test-statistic?

P-Value = 

On this educational webpage, detailed explanations and step-by-step calculations will follow this initial setup to guide you through each stage of conducting a chi-square test of independence.
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Transcribed Image Text:### Chi-Square Test of Independence: Flu Shot and Flu Incidence You are conducting a test of independence to examine if getting the flu is independent of whether or not you got a flu shot. Use \(\alpha = 0.05\). Report all answers accurate to four decimal places. Here is the sample data: | Category | Got the Flu | Did not get the Flu | |---------------------|-------------|---------------------| | Got Flu Shot | 18 | 118 | | Did not get Flu Shot| 51 | 19 | #### Expected Observations The expected observations for this table would be: | Category | Got the Flu | Did not get the Flu | |---------------------|-------------|---------------------| | Got Flu Shot | | | | Did not get Flu Shot| | | #### Chi-Square Calculation The resulting \(\frac{(O - E)^2}{E}\) for finding the test are: | Category | Got the Flu | Did not get the Flu | |---------------------|-------------|---------------------| | Got Flu Shot | | | | Did not get Flu Shot| | | #### Chi-Square Test Statistic What is the chi-square test-statistic for this data? (add the results from the previous table) \[ \chi^2 = \] #### P-Value Calculation What is the p-value for this test-statistic? P-Value = On this educational webpage, detailed explanations and step-by-step calculations will follow this initial setup to guide you through each stage of conducting a chi-square test of independence.
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