Independent random samples of n1 = 140 and n2 = 140 observations were randomly selected from binomial
Question:
a. Suppose you have no preconceived idea as to which parameter, p1 or p2, is the larger, but you want only to detect a difference between the two parameters if one exists. What should you choose as the alternative hypothesis for a statistical test? The null hypothesis?
b. Calculate the standard error of the difference in the two sample proportions, (1 - 2). Make sure to use the pooled estimate for the common value of p.
c. Calculate the test statistic that you would use for the test in part a. Based on your knowledge of the standard normal distribution, is this a likely or unlikely observation, assuming that H0 is true and the two population proportions are the same?
d. p-value approach: Find the p-value for the test. Test for a significant difference in the population proportions at the 1% significance level.
e. Critical value approach: Find the rejection region when α = .01. Do the data provide sufficient evidence to indicate a difference in the population proportions?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Introduction To Probability And Statistics
ISBN: 9781133103752
14th Edition
Authors: William Mendenhall, Robert Beaver, Barbara Beaver
Question Posted: