Probability Calculator for the Chi-Squared Distribution / Conceptual Overview: Explore how to obtain exact values for the upper tail probabilities of the chi-square distribution using specific inputs fordf, chi-square, andp.

The figure below shows the graph of a chi-square distribution. Change the numbers in any box and the graph will update automatically.

• Change thedfto match the value for your required chi-square statistic. Note thatdfmay have fractional values.
• ChangeChi-Sqand the probability of obtaining a value ofChi-Sqthat large or larger will be displayed.
• Changepand the graph will display the critical value forChi-Sqdefining the upper tail with probabilityp.

Limits:

• 0.0001 ?Chi-Sq
• 0.005 ?p? 0.995

1.A procedure testing for the equality of proportions generated a chi-square value of ?2= 5.7, withdf= 2. With ? = .05, would you reject the null hypothesis?

a. Yes

b. No

2.What would the critical ?2value be for a test of independence wheredf= 4 and ? = .05?

1. 3.357
2. 5.385
3. 7.779
4. 9.488

Conceptual Overview: Explore how to obtain exact values for the upper tail probabilities of the chi-square distribution using specic inputs for df, chi-square, and p. The gure below shows the graph of a chisquare distribution. Change the numbers in any box and the graph will update automatically. 0 Change the dfto match the value For your required chisquare statistic. Note that dfmay have fractional values. 0 Change ChiSq and the probability of obtaining a value of ChiSq that large or larger will be displayed. 0 Change p and the graph will display the critical value for ChiSq dening the upper tail with probability p. Limits: 0 0.0001 5 ChiSq 0 0.005 3 p S 0.995 df: 1 Chi-Sq: 3.341 p: 0.05 df=1