Solution Found!
Equivalent Tests A ?2 test involving a 2 × 2 table is
Chapter 11, Problem 21BB(choose chapter or problem)
Equivalent Tests A \(\chi 2\) test involving a \(2 \times 2\)table is equivalent to the test for the difference between two proportions, as described in Section 92. Using the claim and table in Example 4, verify that the \(\chi 2\) test statistic and the z test statistic (found from the test of equality of two proportions) are related as follows: \(z 2=\chi 2\) . Also show that the critical values have that same relationship.
Equation Transcription:
Text Transcription:
\chi 2
2 \times 2
\chi 2
z 2=\chi 2
Questions & Answers
QUESTION:
Equivalent Tests A \(\chi 2\) test involving a \(2 \times 2\)table is equivalent to the test for the difference between two proportions, as described in Section 92. Using the claim and table in Example 4, verify that the \(\chi 2\) test statistic and the z test statistic (found from the test of equality of two proportions) are related as follows: \(z 2=\chi 2\) . Also show that the critical values have that same relationship.
Equation Transcription:
Text Transcription:
\chi 2
2 \times 2
\chi 2
z 2=\chi 2
ANSWER:Solution 21BB
Similarly, the critical value of chi square statistic at 0.05significance level is 3.841, also the critical value for z stat