Question

Asked Dec 10, 2019

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here is the link of table 8

https://www.webassign.net/podstat/peck_Appendix_A.pdf

From the given information in each case below, state what you know about the *P*-value for a chi-square test and give the conclusion for a significance level of *α* = 0.01. Use Table 8 in Appendix A.

(Enter your answers to three decimal places.)

(a) *χ*^{2} = 7.41, df = 2

? < *P*-value < ?

Conclusion:

Reject *H*_{0}

Fail to reject *H*_{0}

(b) *χ*^{2} = 12.88, df = 6

? < *P*-value < ?

Conclusion:

Reject *H*_{0}

Fail to reject *H*_{0}

(c) *χ*^{2} = 17.71, df = 9

? < *P*-value < ?

Conclusion:

Reject *H*_{0}

Fail to reject *H*_{0}

(d) *χ*^{2} = 19.58, df = 4*P*-value < ?

Conclusion:

Reject *H*_{0}

Fail to reject *H*_{0}

(e) *χ*^{2} = 6.09, df = 3*P*-value > ?

Conclusion:

Reject *H*_{0}

Fail to reject *H*_{0}

1 Rating

Step 1

**Note:**

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Step 2

**a)**

Here, chi-square is 7.41. The degrees of freedom is 2. Given chi-square value is lies between 7.37 and 7.82 and corresponding p-values are 0.025 and 0.020 respectively. Thus, **0.020 < p-value < 0.025.**

**Decision rule:**

If p-value ≤ α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis.

**Conclusion:**

The level of significance is 0.01.

Here, p-value is greater than level of significance.

Therefore, fail to reject the null hypothesis.

**b)**

Here, chi-square is 12.88. The degr...

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