Question

A survey conducted in a small business yielded the result shown in the table.

	Men	Women	Total
Plan to vote	41	22
Do not plan to vote	34	24
Total

Test the independence. Which of the following is not true?

-The distribution is left tail

-The conclusion is do not reject the null

-The p-value =.69529

-The test statistic is t=0.40824

Answer 1

This problem is solved by using R

Chisquare independence test output

> # chisquare test for indepedence > d=matrix(c(41,34,22, 24), nrow=2, ncol=2, byrow=F) # given contingency matrix > d [,1] [,2] [1,] 41 22 [2.] 34 24 > chisquare_test=chisq.test(d, correct=T) > chisquare_test Pearson's chi-squared test with Yates' continuity correction data: d X-squared = 0.29563, df = 1, p-value = 0.5866

For independence test we use chi square distribution. It is right tailed distribution.

Where we get p- value = 0.5866 so do not reject the null hypothesis

Therefore,

For test the independence. the following is not true?

Answer :

the distribution is left tailed

The p- value = 0.69529

the test statistic is t = 0.40824

Thank You !