a. Determine the sample proportions. Determine the sample proportion P₁. P₁ = [ Determine the sample proportion p2- P₂ = (Round to three decimal places as needed.) Determine the pooled sample proportion Pp Pp=(Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. (Round to three decimal places as needed.) A. The assumptions are satisfied, so using the procedures is appropriate. B. Since x, is less than 5, using the procedures is not appropriate.
a. Determine the sample proportions. Determine the sample proportion P₁. P₁ = [ Determine the sample proportion p2- P₂ = (Round to three decimal places as needed.) Determine the pooled sample proportion Pp Pp=(Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. (Round to three decimal places as needed.) A. The assumptions are satisfied, so using the procedures is appropriate. B. Since x, is less than 5, using the procedures is not appropriate.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
For question d, if appropriate, use the two proportions z interval procedure to find the specified confidence interval.
Transcribed Image Text:The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a two-tailed test and a 95% confidence interval. Complete parts (a)
through (d).
x₁ = 22, n₁ = 60, x2 = 30, n₂ = 100, α = 0.05
Click here to view a table of areas under the standard normal curve for negative values of z.
Click here to view a table of areas under the standard normal curve for positive values of z.
a. Determine the sample proportions.
Determine the sample proportion p₁.
P₁ = (Round to three decimal places as needed.)
Determine the sample proportion P2.
P2
-
(Round to three decimal places as needed.)
Determine the pooled sample proportion pp.
=
Pp
(Round to three decimal places as needed.)
b. Decide whether using the two-proportions z-procedures is appropriate.
Check that the assumptions are satisfied. Select all that apply.
A. The assumptions are satisfied, so using the procedures is appropriate.
B. Since x₁ is less than 5, using the procedures is not appropriate.
C. Since x₂ is less than 5, using the procedures is not appropriate.
D. Since n₁-x₁ is less than 5, using the procedures is not appropriate.
E. Since n₂-X₂ is less than 5, using the procedures is not appropriate.
c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test?
Transcribed Image Text:The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a two-tailed test and a 95% confidence interval. Complete parts (a)
through (d).
x₁ = 22, n₁ = 60, x₂ = 30, n₂ = 100, α = 0.05
Click here to view a table areas under the standard normal curve for negative values of z.
Click here to view a table of areas under the standard normal curve for positive values of z.
c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test?
O A. Ho: P₁
P2, H₂: P₁ P2
OC. Ho: P₁
P2, Ha: P₁ P2
OE. Ho: P₁ P2, H₂: P₁ = P2
OG. Using the two-proportions z-procedures is not appropriate.
Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. =
Za
OA. Z=
(Round to two decimal places as needed.)
OB. Using the two-proportions z-procedures is not appropriate.
Identify the critical value(s) for x = 0.05, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
B.
(Round to two decimal places as needed.)
±Zα/2 = ±
OB.
D.
Ho: P₁
P2, Ha: P1 P2
Ho: P₁
P2, Ha: P1 = P2
OF. Ho: P₁ <P₂, H₂: P₁ = P2
(Round to two decimal places as needed.)
OC. -Za
(Round to two decimal places as needed.)
OD. Using the two-proportions z-procedures is not appropriate.
Which of the following is the correct conclusion for the hypothesis test?
O A. At the 5% significance level, do not reject Ho; the data do not provide sufficient evidence to accept Ha
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