Texts: Twenty-three out of a random sample of 100 brochures prepared by the Acton Marketing Agency (A) contained typos or grammatical errors. Seventeen out of a random sample of 150 brochures prepared by the Natural Marketing Agency (N) contained typos or grammatical errors. Calculate a 95% confidence interval to estimate the true difference between the two population proportions, pA – pN. At the 5% significance level, does this confidence interval indicate that there is a difference between the population proportions, and why? Lower confidence interval limit = ____ %. Upper confidence interval limit = ____ %. Conclusion:
A) At the 5% significance level, conclude there is a difference between the population proportions because the confidence interval contains zero.
B) At the 5% significance level, conclude there is not a difference between the population proportions because the confidence interval does not contain zero.
C) At the 5% significance level, conclude there is a difference between the population proportions because the confidence interval does not contain zero.
D) At the 5% significance level, conclude there is not a difference between the population proportions because the confidence interval contains zero.