SOLUTION: Suppose you are testing the hypotheses: H0: p1 = p2 Ha: p1 < p2 And X1 = 20 successes, n1 = 45, x2 = 15 successes, n2 = 40 a. Calculate the z-score b. State the formula

Question 544786: Suppose you are testing the hypotheses:
H0: p1 = p2
Ha: p1 < p2
And X1 = 20 successes, n1 = 45, x2 = 15 successes, n2 = 40
a. Calculate the z-score
b. State the formula used to estimate the p-value: p =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose you are testing the hypotheses:
H0: p1 = p2
Ha: p1 < p2
And X1 = 20 successes, n1 = 45, x2 = 15 successes, n2 = 40
p1hat = (20/45) = 4/9 ; p2hat = (15/40) = 3/8
----------
a. Calculate the z-score
test statistic = z(4/9 - 3/8)
= z(5/(72)) = (5/72)/sqrt[(4/9*5/9)/45 + (3/8*5/8)/40]
-------
b. State the formula used to estimate the p-value:
p-value = P(z < test statistic)
=================
Cheers,
Stan H.

RELATED QUESTIONS
Let P1 be the proportion of successes in the first population and let P2 be the... (answered by stanbon)

construct a 95% confidence interval for P1-P2. The sample statistics listed below are... (answered by reviewermath)

Let p1 be the proportion of successes in the first population and let p2 be the... (answered by Boreal)

Two samples are taken with the following numbers of successes and sample sizes r1=26... (answered by Boreal)

Using the given sample information, what is your decision about the following hypotheses? (answered by Theo)

You wish to test the following claim (Ha) at a significance level of α = 0.01. (answered by Boreal)

You wish to test the following claim (Ha) with a .01 significance level. H0: p1 = p2... (answered by stanbon)

Find the standardized test statistic z to test the claim that P1=P2. The sample... (answered by reviewermath)

x1 = 36, n1 = 64 and x2 = 47, n2 = 71; A) Construct a 95% confidence interval for the... (answered by Boreal)