Question

lowing information for the next five questions: fferent shoe companies are competing over who can make the least manufacturing errors 1 takes a sample of 1250 shoes and finds that 23 of them have defects while Company 2 mple of 1500 shoes and finds that 63 of them have defects.

Answer 1

20) $\widehat p1$ = 23/1250 = 0.0184

      $\widehat p2$ = 63/1500 = 0.042

The pooled proportion(P) = ( $\widehat p1$ * n1 + $\widehat p2$ * n2)/(n1 + n2)

                                         = (0.0184 * 1250 + 0.042 * 1500)/(1250 + 1500)

                                         = 0.03127

Option - e) None of the above.

21) Option - A) (-0.0032, 1.5432)

Since the confidence interval contains 0, so we should not reject the null hypothesis.

so we can conclude that the results are not statistically significant.

22) Since the confidence interval does not contain 0, so we should reject the null hypothesis.

Option - b) The results are statistically significant - reject the null hypothesis.