Question

Decide whether the normal sampling distribution can be used. If 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, alphaequals0.01 Sample statistics: x 1equals27, n 1equals129 and x 2equals32, n 2equals206 Can a normal sampling distribution be used?

Answer #1

as n1p1.n1(1-p1), n2p2, n2(1-p2) all are greater than 10 therefore normal sampling distribution be used

as test statistic 1.26 does not fall in rejection region, we can not reject null hypothesis.

We do not have sufficient evidence to conclude that there is difference between two population proportions.

Decide whether the normal sampling distribution can be used. If
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

Decide whether the normal sampling distribution can be used. If
it can be used, test the claim about the difference between two
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

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 alpha using the given sample
statistics. Claim: pnot equals0.29; alphaequals0.01; Sample
statistics: ModifyingAbove p with caretequals0.22, nequals150

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 alpha using the given sample
statistics. Claim: pnot equals0.24; alphaequals0.01; Sample
statistics: ModifyingAbove p with caretequals0.19, nequals200

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...

For the following information, determine whether a normal
sampling distribution can be used, where p is the population
proportion,α 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:
p>0.29
α=0.08
Sample statistics:
ModifyingAbove p with caretpequals=0.36
n=375

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

Determine whether the hypothesis test involves a sampling
distribution of means that is a normal distribution, Student t
distribution, or neither. Claim: ? = 119. Sample data: ? = 15, ?̅ =
103, ? = 15.2. The sample data, for this simple random sample,
appear to come from a normally distributed population with unknown
? and ?.

1) Determine whether the following hypothesis test involves a
sampling distribution of means that is a normal distribution,
Student t distribution, or neither.
Claim about IQ scores of statistics instructors: μ > 100.
Sample data: n = 15, x ¯= 118, s = 11.
The sample data appear to come from a normally distributed
population with unknown μand σ.
a) student T-distribution
b) Normal distribution
c) Neither
2)
Determine whether the following hypothesis test involves a
sampling distribution of means...

TRUE OR FALSE:
1. The sampling distribution of (X-bar) is
always a normal distribution according to the Central limit
theorem.
4. If the sampled population is a normal distribution, then the
sampling distribution of (X-bar is normal only for a
large enough sample size.
5. If p=.8 and n=50, then we can conclude that the sampling
distribution of the proportions is approximately a normal
distribution.
8. Assuming the same level of significancea, as the
sample size increases, the critical t-value...

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