The 95% confidence interval of a proportion ranges from 0.22 to 0.32. Our null hypothesis was that the sample proportion does not differ from the population proportion (P_u), which is 0.27. If our research hypothesis is two-tailed, what would we conclude about a sample proportion (P_s) equal to 0.33? A) The research hypothesis should be rejected. B) The null hypothesis should not be rejected. C) The null hypothesis is likely true, but there is a 5% probability that it is actually false. D) The null hypothesis should be rejected if alpha is set at 0.05.

Question

Quizplus · Accepted Answer

The sample proportion of 0.33 falls outside the 95% confidence interval of 0.22 to 0.32, indicating that it is significantly different from the population proportion of 0.27 at the 0.05 significance level. Therefore, the null hypothesis should be rejected.

The 95% Confidence Interval of a Proportion Ranges from 0