You wish to test the following claim (Ha) at a significance level of a = 0.01.Ho:Pi P2H4 Pi< P2You obtain 73.8% successes in a sample of size n, = 629 from the first population. You obtain 76% successes in asample of size n2you should use the normal distribution as an approximation for the binomial distribution.601 from the second population. For this test, you should NOT use the continuity correction, andWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)= -0.917test statisticWhat is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = 0.1796The p-value 1s..less than (or equal to)greater than oThis test statistic leads to a decision to.reject the nullthe nullaccepta N)

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Asked Nov 25, 2019
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You wish to test the following claim (Ha) at a significance level of a = 0.01.
Ho:Pi P2
H4 P
i< P2
You obtain 73.8% successes in a sample of size n, = 629 from the first population. You obtain 76% successes in a
sample of size n2
you should use the normal distribution as an approximation for the binomial distribution.
601 from the second population. For this test, you should NOT use the continuity correction, and
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
= -
0.917
test statistic
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 0.1796
The p-value 1s..
less than (or equal to)
greater than o
This test statistic leads to a decision to.
reject the null
the null
accept
a N
)
help_outline

Image Transcriptionclose

You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho:Pi P2 H4 P i< P2 You obtain 73.8% successes in a sample of size n, = 629 from the first population. You obtain 76% successes in a sample of size n2 you should use the normal distribution as an approximation for the binomial distribution. 601 from the second population. For this test, you should NOT use the continuity correction, and What is the test statistic for this sample? (Report answer accurate to three decimal places.) = - 0.917 test statistic What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.1796 The p-value 1s.. less than (or equal to) greater than o This test statistic leads to a decision to. reject the null the null accept a N )

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Expert Answer

Step 1

Given Data and calculati...

n1 629, p1 0.738
n2 601, p2 0.76
Formulation of Hypotheses:
The null hypothesis is:
Ho P1 P2
The alternative hypothesis is:
Н: рi< p>,
calculation of the test statistic
Pooled proportion is given by
nрі + пzр2
ра
629 x 0.738 + 601 x 0.76
0.749
629 601
Пу + nz
(Ф. — Р2) — (р1 — р2)
0.738 0.76 - 0
-0.8895
Z =
|ptа - р) x (
1
|0.749(1-0.749) x
601
п2.
20.890
629
help_outline

Image Transcriptionclose

n1 629, p1 0.738 n2 601, p2 0.76 Formulation of Hypotheses: The null hypothesis is: Ho P1 P2 The alternative hypothesis is: Н: рi< p>, calculation of the test statistic Pooled proportion is given by nрі + пzр2 ра 629 x 0.738 + 601 x 0.76 0.749 629 601 Пу + nz (Ф. — Р2) — (р1 — р2) 0.738 0.76 - 0 -0.8895 Z = |ptа - р) x ( 1 |0.749(1-0.749) x 601 п2. 20.890 629

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