Question

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance

alphaα

using the given sample statistics.Claim:

pnot equals≠0.24;

alphaαequals=0.10;

Sample statistics:

ModifyingAbove p with caretpequals=0.21,

nequals=200

Can the normal sampling distribution be used?

state the null and alternative hypothesis.

determine the critical value.

find the z-test statistic.

what is the result of the test?

Reject

Upper H 0H0.

The data provide sufficient evidence to support the claim.

B.Fail to reject

Upper H 0H0.

The data do not provide sufficient evidence to support the claim.

C.Reject

Upper H 0H0.

The data do not provide sufficient evidence to support the claim.

D.Fail to reject Upper H 0H0.

The data provide sufficient evidence to support the claim.

E.

The test cannot be performed.

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.24

H_{a} : p
0.24

n = 200

= 0.21

P_{0} = 0.24

1 - P_{0} = 1 - 0.24 = 0.76

z =
- P_{0} / [P_{0
*} (1 - P_{0} ) / n]

= 0.21 - 0.24 / [(0.24 * 0.76) / 200]

= -0.99

Test statistic = -0.99

= 0.10

/ 2 = 0.10 = 0.05

Z_{/2}
= Z_{0.05} = 1.645

critical value = 1.645

Test statistic > critical value

Reject the null hypothesis .

A) The data provide sufficient evidence to support the claim.

For the following information, determine whether a normal
sampling distribution can be used, where p is the population
proportion,
alphaα
is the level of significance,
ModifyingAbove p with caretp
is the sample proportion, and n is the sample size. If it can
be used, test the claim.Claim:
pgreater than or equals≥0.47
alphaαequals=0.06
Sample statistics:
ModifyingAbove p with caretpequals=0.40,
nequals=180

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Decide whether the normal sampling distribution can be used. If
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population proportions
p 1p1
and
p 2p2
at the given level of significance
alphaα
using the given sample statistics. Assume the sample statistics
are from independent random samples.
Claim:
p 1p1equals=p 2p2,
alphaαequals=0.010.01
Sample statistics:
x 1x1equals=2323,
n 1n1equals=113113
and
x 2x2equals=103103,
n 2n2equals=179179
a) find the standardized test statistics

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p>0.29
α=0.08
Sample statistics:
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1equalsp 2, alphaequals0.01 Sample statistics: x 1equals27, n
1equals129 and x 2equals32, n 2equals206 Can a normal sampling
distribution be used?

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it can be used, test the claim about the difference between two
population proportions p 1 and p 2 at the given level of
significance alpha using the given sample statistics. Assume the
sample statistics are from independent random samples. Claim: p
1equalsp 2, alphaequals0.10 Sample statistics: x 1equals88, n
1equals171 and x 2equals172, n 2equals212

13.)
uppose
218218
subjects are treated with a drug that is used to treat pain
and
5555
of them developed nausea. Use a
0.100.10
significance level to test the claim that more than
2020%
of users develop nausea.
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
A.
Upper H 0H0:
pequals=0.200.20
Upper H 1H1:
pgreater than>0.200.20
B.
Upper H 0H0:
pgreater than>0.200.20
Upper H 1H1:
pequals=0.200.20
C.
Upper H 0H0:
pequals=0.200.20
Upper H 1H1:...

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Identify the null and alternative hypotheses for this test.
Choose the correct answer below. ( Round to two decimal places as
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Identify the P-value for this hypothesis test....

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Upper H1: pl<0.20
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Upper H1: p>0.20
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