Independent Random Samples of N₁ = 150 and N₂ =

Short Answer

Independent random samples of n₁ = 150 and n₂ = 150 sales phone calls for an insurance policy were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 80 successful sales, and sample 2 had 88 successful sales. Suppose you have no preconceived theory concerning which parameter, p₁ or p₂, is the larger and you wish to detect only a difference between the two parameters if one exists.
Calculate the standard error of the difference in the two sample proportions, . Make sure to use the pooled estimate for the common value of p.
______________
Calculate the test statistic that you would use for the test above. 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?
Test statistic = ______________
Find the p-value for the test. Test for a significant difference in the population means at the 1% significance level.
p-value = ______________
Find the rejection region when = 0.01. Do the data provide sufficient evidence to indicate a difference in the population proportions?
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________