Question

Passed Failed Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the teet are discriminatory? Use a 0.05 significance level 20 17 White candidates Minority candidates B 21 Determine the null and alternative hypotheses OA. H: A white candidate is not more likely to pass the test than a minority candidate. H.: A white candidate is more likely to pass the test man a minority candidate. OB. He White and minority candidates have the same chance of passing the best H: White and minority candidates do not have the same chance of passing the test. OC. Hp: A white candidate is more likely to pass the test man a minority candidate H.: A white candidate is not more likely to pass the test than a minority candidate. OD. Hp: White and minority candidates do not have the same chance of passing the test. H.: White and minority candidates have the same chance of passing the test Determine the test statistic. (Round to three decimal places as rieeve. Determine the P value of the test statistic. P.value - (Round to four schmal places needed Is there sullicieni evidence to support the claim that the resulls from the test are discriminalory? O A. There is not sufficient evidence to reject the dairm that a while candidate is more likely to pass the test than a minority candidate. OB. There is suficient evidence to reject the claim that a white candidate is more likely to pass the test then a minority candidate O c. There is sufficient evidence to support the claim that the results are discriminatory. OD. There is not sufficient evidence to support the claim that the results are discriminatory.

Answer 1

The statistical software output for this problem is :

Contingency table results: Rows: vari Columns: None PF Total WC 2017 37 MC 8 21 29 Total 28 38 66 Chi-Square test: Statistic DF Value P-value Chi-square 1 4.6627192 0.0308

Option B) is correct.

Test statistics = 4.663

P-value = 0.0308

Option B) is correct .