Conduct a test at the a =0.10 level of significance. Test whether p1>p2. The sam
ID: 3054756 • Letter: C
Question
Conduct a test at the a=0.10 level of significance. Test whether p1>p2. The sample data are:x1=128?, n1=241?, x2=142?, and n2=312.
(A) Choose the correct null and alternative hypotheses below.
(A) Ho p1=p2 versus H1: p1>p2
(c) Ho p1=p2 versus Ho: p1 < p2
(B)Determine the test statistic.
Zo= (Round to two decimal places as? needed.)
(C)The P-value= (Round to three decimal places as? needed.)
(D) What is the result of this hypothesis? test?
A.
Reject the null hypothesis because there is sufficient evidence to conclude that p1>p2.
B.
Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p1?p2.
C.
Reject the null hypothesis because there is sufficient evidence to conclude that p1<p2.
D.
Do not reject the null hypothesis because there is notsufficient evidence to conclude that p1<p2.
Explanation / Answer
The statistical softwre output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Hence,
A) Ho p1=p2 versus H1: p1>p2
Option A is correct.
B) Zo = 1.77
C) p - Value = 0.038
D) Reject the null hypothesis because there is sufficient evidence to conclude that p1>p2.
Option A is correct.
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 128 241 142 312 0.075992127 0.042867358 1.7727271 0.0381Related Questions
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