Question

Conduct a test at the alpha α equals = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=128, n1=245, x2=144, and n2=315. (a) Choose the correct null and alternative hypotheses below.

A.

H0: p1=p2 versus H1: p1p2

B.

H0: p1=0 versus H1: p1≠0

C.

**H0: p1=p2 versus H1: p1>p2 Your answer is
correct.**

D.

H0: p1=p2 versus H1: p1≠p2

**(b) Determine the test statistic.**

z0=__?__

(Round to two decimal places as needed.)

Answer #1

**Answer:**

**Given that:**

**Conduct a test at the alpha α equals = 0.01 level of
significance**

n1 = 245

x1 = 128

n2 = 315

x2 = 144

The sample propertions are ,

p1 = x1 / n1

= 128 / 245

= 0.5224

p2=x2/n2

=144/315

=0.4571

The pooled estimate for the propertion is ,

P=(x1+x2)/(n1+n2)

=(128+144)/(245+315)

=272/560

=0.4857

Q=1-P

=1-0.4857

=0.5143

**a ) The null and alternative hypotheses,**

Hypothesis :

b ) **Determine the test statistic.**

The test statistic under Ho is ,

Conduct a test at the alpha α equals = 0.01 level of
significance by determining (a) the null and alternative
hypotheses, (b) the test statistic, and (c) the P-value. Assume
the samples were obtained independently from a large population
using simple random sampling. Test whether p1>p2. The sample
data are x1=128, n1=245, x2=144, and n2=315.
(a) Choose the correct null and alternative
hypotheses below.
A.
H0: p1=p2 versus H1: p1<p2
B.
H0: p1=0 versus H1: p1≠0
C.
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