Let N1=40, X1=30, N2=40 and X2=20
Calculate the test statistic ZSTAT based on the difference P1-P2
the test statistic, ZSTAT is what?
Solution :
Given that,
1
= x1 / n1 = 30 / 40 = 0.75
2
= x2 / n2 = 20 / 40 = 0.5
= (x1 + x2) / (n1 + n2)
= (30 + 20) / (40 + 40) = 0.625
1 -
= 0.375
Z = (
1
-
1) /
* (1 -
) (1 / n1 + 1 / n2)
Z = (0.75 - 0.50) /
0.625 * 0.375 (1 / 40 + 1 / 40)
Z = 2.309
Test statistic = 2.309
Let N1=40, X1=30, N2=40 and X2=20 Calculate the test statistic ZSTAT based on the difference P1-P2...
Construct a confidence interval for p1−p2 at the given level of confidence. x1=365 n1=536 x2=435 n2=593 90% confidence The researchers are (blank) % confident the difference between the two population proportions, p1−p2, is between (blank) and (blank)
Let the independent random variables X1 and X2 have binomial distributions with parameters n1, p1 = 1/2 and n2, p2 = 1/2 , respectively. Show that Y = X1−X2+n2 has a binomial distribution with parameters n = n1+n2, p = ½ I want clear steps and explanations.
Construct a confidence interval for p1−p2 at the given level of confidence. x1=365, n1=503, x2=447, n2=558, 95% confidence
In a test for the difference between two proportions, the sample sizes were n1=68 and n2=76 , and the numbers of successes in each sample were x1=41 and x2=25 . A test is made of the hypothesis Ho:p1=p2 versus H1:P1>p2 are the assumptions satisfied in order to do this test?Explain. B) Find the test statistics value C) Can you reject the null hypothesis at the a=0.01 significance level? Use Ti-84 for calculations please.
Consider the following competing hypotheses and accompanying sample data. H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 248 x2 = 266 n1 = 444 n2 = 444 a. At the 1% significance level, find the critical value(s). b. Calculate the value of the test statistic.
Construct the indicated confidence interval for the difference between population proportions p1- P2. Assume that the samples are independent and that they have been randomly selected. X1 = 19, n1 = 46 and x2 = 25, n2 = 57; Construct a 90% confidence interval for the difference between population proportions P1 - P2. A) 0.252 < P1 - P2 < 0.574 OB) 0.221 < P1 - P2 < 0.605 C) 0.605 < P1 - P2 < 0.221 OD) -0.187 <...
A
random sample of n1=130 individuals results in x1=35 successes. An
independent sample of n2=149 individuals results in x2=59
successes. Does this represent sufficient evidence to conclude that
p1<p2 at the ?=0.1 level of significance?
questions:
the given situation is about?
write the hypotheses for the test
h0:
h1:
calculate the test statistic:
(remaining in photo)
Idely the region See the cod choice below and finale bors within your choice (Type an integracimal rounded to two decimal places as needed)...
Construct a 95% confidence interval for p1 - p2. The sample statistics listed below are from independent samples. Sample statistics: n1 = 100, x1 = 35, n2 = 60, x2 = 50 A) (-0.141, 0.208) B) (-0.871, 0.872) C) (-2.391, 3.112) D) (-1.341, 1.781)
The utility function of the consumer is u(x1, x2) = VX1 + X2. a) Let P1 = 2,P2 = 20 and m = 24. Calculate the optimal quantity demanded of good 1 and 2. (7 points) b) Let p. = 1,P2 = 4 and m = 100. Calculate the optimal quantity demanded of good 1 and 2. (6 points) c) Let P1 = 1,P2 = 4 and m = 4. Compared to point b), by how much would the consumer...
Of n1 randomly selected male smokers, X1 smoked filter cigarettes, whereas of n2 randomly selected female smokers, X2 smoked filter cigarettes. Let P1 and P2 denote the probabilities that a randomly selected male and female, respectively, smoke filter cigarettes.