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For a X2-curve with 15 degrees of freedom, find X2(0.90). The X2-table is pictured above. dont round answer.

To find the value of \(\chi^2_{0.90}\) for 15 degrees of freedom (df), we refer to the table you've provided. Looking at the row for \(df = 15\), we find the value under the column labeled \(\chi^2_{0.90}\).

From the table:

\[
\chi^2_{0.90} \text{ with } 15 \text{ degrees of freedom} = 7.261
\]

This is the exact value as per the table.

Would you like any further explanation or details on how these values are used? Here are some related questions:

1. What does \(\chi^2_{0.90}\) represent in a chi-square distribution?
2. How do degrees of freedom affect the shape of the chi-square distribution?
3. What is the significance of the \(\alpha = 0.90\) value in chi-square tests?
4. How is the chi-square critical value used in hypothesis testing?
5. How does the chi-square test apply to categorical data analysis?

**Tip**: In hypothesis testing, the chi-square critical value helps determine whether to reject or fail to reject the null hypothesis by comparing it with the test statistic.

For a X2-curve with 15 degrees of freedom, find X2(0.90). The X2-table is pictured above. Don't round the answer.

Find the chi-square critical value for a curve with 15 degrees of freedom and an alpha level of 0.90 using the chi-square table. Learn how to reference chi-square distribution tables for hypothesis testing and statistical analysis in undergraduate statistics courses.

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