Question

a. Assume that a 0.01 significance level will be used to test the claim that p 1less thanp 2. Which is​ better: A hypothesis test or a confidence​ interval? A hypothesis test is better. b. In​ general, when dealing with inferences for two population​ proportions, which two of the following are​ equivalent: confidence interval​ method; P-value​ method; critical value​ method? ▼ are​ equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on ▼ estimated values of the population proportions, the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on ▼ estimated values of the population proportions. the assumption that the two population proportions are equal.

Answer 1

a. A hypothesis test is better

b. confidence interval​ method; and critical value​ method will lead to the same conclusion

Explanation:

a. A hypothesis test is better

b. confidence interval​ method; and critical value​ method will lead to the same conclusion

when samples are taken from a population, the mean values of these samples are approximately normally distributed,that is, the mean values forming the sampling distribution of means is approximately normally distributed. It is also true that if the standard deviations of each of the samples is found, then the standard deviations of all the samples are approximately normally distributed, that is, the standard deviations of the sampling distribution of standard deviations are approximately normally distributed.

Parameters such as the mean or the standard deviation of a sampling distribution are called sampling statistics, S.