Conduct the following test at the alphaαequals=0.050.05 level of significance by determining​ (a) the null and alternative​ hypotheses, (b) the test​ statistic, and​ (c) the critical value. Assume that the samples were obtained independently using simple random sampling.   Test whether p 1 not equals p 2p1≠p2. Sample data are x 1 equals 28x1=28​, n 1 equals 254n1=254​, x 2 equals 36x2=36 and n 2 equals 301n2=301.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Conduct the following test at the
alphaαequals=0.050.05
level of significance by determining​ (a) the null and alternative​ hypotheses, (b) the test​ statistic, and​ (c) the critical value. Assume that the samples were obtained independently using simple random sampling.
 
Test whether
p 1 not equals p 2p1≠p2.
Sample data are
x 1 equals 28x1=28​,
n 1 equals 254n1=254​,
x 2 equals 36x2=36
and
n 2 equals 301n2=301.
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