Question

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.

Ho:p=0.14Ho:p=0.14

Ha:p≠0.14Ha:p≠0.14

You obtain a sample of size n=591n=591 in which there are 106
successful observations. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate
to three decimal places.)

critical value = ±±

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)

test statistic =

The test statistic is...

in the critical region

not in the critical region

This test statistic leads to a decision to...

reject the null

accept the null

fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14.

The sample data support the claim that the population proportion is not equal to 0.14.

There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.14.

Answer #1

Here hypothesis is vs

Here sample size is 591, out of which there are 106 successful observations, so proportion is

As we see that n is sufficient large and also so we can use normal approximation.

The z-critical values for a two-tailed test, for a significance
level of *α*=0.05

*z**c*=−1.96 and *z**c*=1.96

*Graphically*

Now test statistics is

Here we see that test statistics is in the critical region

As test statistics is in rejection region we reject the null hypothesis

Hence there is sufficient evidence to support the claim that population proportion is not equal to 0.14.

The sample data support the claim that the population proportion is not equal to 0.14.

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:p=0.76Ho:p=0.76
Ha:p≠0.76Ha:p≠0.76
You obtain a sample of size n=624n=624 in which there are 448
successful observations. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this...

You wish to test the following claim a significance level of
α=0.05α=0.05.
Ho:p=0.14Ho:p=0.14
Ha:p<0.14Ha:p<0.14
You obtain a sample of size n=268n=268 in which there are 19
successful observations.
What is the test statistic for this sample?
test statistic = Round to 3 decimal places.
What is the p-value for this sample?
P-value = Use Technology Round to 4 decimal
places.
The p-value is...
less than (or equal to) αα
greater than αα
This test statistic leads to a decision to...
reject the...

you wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:p=0.14Ho:p=0.14
Ha:p<0.14Ha:p<0.14
You obtain a sample of size n=709n=709 in which there are 94
successful observations. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report...

You wish to test the following claim (HaHa) at a significance
level of α=0.01
Ho:p=0.89
Ha:p<0.89
You obtain a sample of size n=526 in which there are 461 successful
observations.
Determine the test statistic formula for this test.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to)...

You wish to test the following claim (HaHa) at a significance
level of ?=0.002.
Ho:p=0.18
Ha:p?0.18
You obtain a sample of size n=435 in which there are 73 successful
observations. For this test, you should NOT use the continuity
correction, and you should use the normal distribution as an
approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:p=0.58Ho:p=0.58
Ha:p≠0.58Ha:p≠0.58
You obtain a sample of size n=720n=720 in which there are 455
successful observations.
Determine the test statistic formula for this test.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to)...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:p=0.22Ho:p=0.22
Ha:p≠0.22Ha:p≠0.22
You obtain a sample of size n=536n=536 in which there are 146
successful observations.
Determine the test statistic formula for this test.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to)...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α0.02.
Ho:p=0.22Hop0.22
Ha:p<0.22Hap0.22
You obtain a sample of size n=167n167 in which there are 22
successful observations. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=88.5Ho:μ=88.5
Ha:μ≠88.5Ha:μ≠88.5
You believe the population is normally distributed and you know the
standard deviation is σ=12.6σ=12.6. You obtain a sample mean of
M=83M=83 for a sample of size n=53n=53.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic...

You wish to test the following claim (HaHa) at a significance
level of ?=0.01.
Ho:p=0.3
Ha:p<0.3
You obtain a sample of size n=452 in which there are 128 successful
observations. For this test, you should NOT use the continuity
correction, and you should use the normal distribution as an
approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report...

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