Match the situation with the correct test statistic, assuming simple randon samp
ID: 3238715 • Letter: M
Question
Match the situation with the correct test statistic, assuming simple randon sampling.
(Note: A test statistic may be used more than once for matching.)
You are looking to test a claim about two population proportions. For each of the two A z test statis B. none independent samples, there are at least five successes and five failures statist You want to test a claim about two population and the values of the population standard deviations are not known and not assumed be equal. Both independent samples are greater than 30 You want to test a claim about two populatio means, and the values of the population stan deviations are known, Both independent are less than 30, but come from populations having normal distributions You want to test a claim about Wo pop means and the of the population deviations are not known and but the inde assumed to norma are from populations hExplanation / Answer
1.
z-test
While comparing population proportions if the assumption can be made about equal variances for both samples then we use z-test.
2.
t-test
Since the population standard deviation is not known we cannot use the z-test.
3.
t-test
If the sample size was higher we could have used z-test here since the population standard deviation is also known in this case.
4.
t-test
Since the population standard deviation is not known we will again use t-test in this case.