Tab Help O ? 12% D Mon 9:33 PM Chrome File Edit View History Bookmarks People Window ··· H Take Test: Week # 12 assignm S A Not Secure bb.wpunj.edu webapps/assessment/take/launch.jsp?course assessment id= 92221 1&course id= 129468_1&content id=2567819.1&step=null ¥ Question Completion Status: QUESTION 2 This example is taken from A. Field "Discovering Statistics" The chi-square statistic is used in a variety of situations, but one of them is to test whether two categorical variables forming a contingency table are associated. A contingency table displays the cross-classification of two or more categorical variables. The levels of each variable are arranged in a grid, and the number of observations falling into each category is noted in the cells of the table. For example, if we took the categorical variables of learning statistics (with two categories: being forced to learn it or not), and depression (with two categories: diagnosis or not), we could construct a table as below. This instantly tells us that 150 of 155 people who were made to learn statistics ended up with a diagnosis of depression, compared to only 48 of 471 people who did not learn statistics. A chi-square test would enable us to see whether this apparent relationship is statistically significant. Depression Diagnosis No Diagnosis Total Learn Statistics No Statistics Total 150 48 198 423 428 155 471 1252 Calculate the Chi-square following instructions either in Excel, or Google sheets.

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Calculate the Chi-square following instructions either in Excel or Google sheets

**Educational Content on Chi-square Analysis**

**Example from A. Field: "Discovering Statistics"**

The chi-square statistic is widely used to test whether two categorical variables forming a contingency table are associated. This involves cross-classification to observe the distribution of data across categories.

A contingency table displays the data with levels of each variable arranged in a grid. The number of observations for each category is noted in the cells.

**Example Explanation:**

Suppose we examine the categorical variables of learning statistics (forced to learn or not) and depression (diagnosis or no diagnosis). The table below illustrates this relationship:

| Depression      | Learn Statistics | No Statistics | Total |
|-----------------|------------------|---------------|-------|
| Diagnosis       | 150              | 48            | 198   |
| No Diagnosis    | 5                | 423           | 428   |
| Total           | 155              | 471           | 626   |

This data shows that out of 155 people who learned statistics, 150 were diagnosed with depression, whereas only 48 out of 471 people who did not learn statistics were diagnosed. A chi-square test helps to determine if this relationship is statistically significant.

**Task:**

Calculate the chi-square using Excel or Google Sheets.
Transcribed Image Text:**Educational Content on Chi-square Analysis** **Example from A. Field: "Discovering Statistics"** The chi-square statistic is widely used to test whether two categorical variables forming a contingency table are associated. This involves cross-classification to observe the distribution of data across categories. A contingency table displays the data with levels of each variable arranged in a grid. The number of observations for each category is noted in the cells. **Example Explanation:** Suppose we examine the categorical variables of learning statistics (forced to learn or not) and depression (diagnosis or no diagnosis). The table below illustrates this relationship: | Depression | Learn Statistics | No Statistics | Total | |-----------------|------------------|---------------|-------| | Diagnosis | 150 | 48 | 198 | | No Diagnosis | 5 | 423 | 428 | | Total | 155 | 471 | 626 | This data shows that out of 155 people who learned statistics, 150 were diagnosed with depression, whereas only 48 out of 471 people who did not learn statistics were diagnosed. A chi-square test helps to determine if this relationship is statistically significant. **Task:** Calculate the chi-square using Excel or Google Sheets.
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