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A Chi-square result equals 7.73, at a 0.05 degree level of confidence and one degree of freedom. What is the result of your null hypothesis (critical value = 3.34)?

A. There is not enough data to answer this.
B. The null hypothesis is accepted.
C. The null hypothesis is void.

Sagot :

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To determine the outcome of the null hypothesis using the chi-square test, follow these detailed steps:

1. Chi-Square Value and Critical Value:
- Your chi-square value (obtained from the chi-square test) is 7.73.
- The critical value at a .05 level of confidence with one degree of freedom is 3.34.

2. Comparison:
- To interpret the result, compare the chi-square value with the critical value:
- If the chi-square value is greater than the critical value, we reject the null hypothesis.
- If the chi-square value is less than or equal to the critical value, we fail to reject the null hypothesis.

3. Analysis:
- Given that 7.73 (the chi-square value) is greater than 3.34 (the critical value), we have sufficient evidence to reject the null hypothesis.

4. Conclusion:
- Thus, the result of your null hypothesis test is: The null is rejected.

Therefore, according to your data and the critical value provided, the correct statement is:
- "The null is rejected."
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