Question

You wish to test the following claim (Ha Ha ) at a significance level of α=0.02 α=0.02 . Ho:p=0.63 Ho:p=0.63 Ha:p<0.63 Ha:p<0.63 You obtain a sample of size n=485 n=485 in which there are 283 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 answer accurate to four decimal places.)

p-value =

The p-value is?( pick one)

less than (or equal to) α

α greater than α

This test statistic leads to a decision to?(pick one)

reject the null

accept the null

fail to reject the null

As such, the final conclusion is that? (pick one)

There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.63.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.63.

The sample data support the claim that the population proportion is less than 0.63.

There is not sufficient sample evidence to support the claim that the population proportion is less than 0.63.

Answer #1

Answer)

Ho: P = 0.63

Ha : P < 0.63

N = 485

First we need to check the conditions of normality, that is if n*p and n*(1-p) both are greater than 5 or not

N*p = 305.55

N*(1-p) = 179

Both are greater than 5, so conditions are met and we can use standard normal z table to conduct the test.

Test statistics z = (observed p - claimed p)/standard error

Standard error = √claimed p*(1-claimed p)/√n

Observed p = 283/485

Claimed p = 0.63

N = 485

Z = -2.12

Test statistics = -2.12

From z table, p(z<-2.12) = 0.0170

P-value = 0.017

As the obtained p-value is less than the given alpha (0.02)

We reject the null hypothesis.

There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.63.

You wish to test the following claim (Ha) at a significance
level of α=0.10
Ho:p=0.46
Ha:p>0.46
You obtain a sample of size n=648in which there are 322 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) αα...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho:μ=81.8
Ha:μ≠81.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=7 with
mean M=77 and a standard deviation of SD=9.1.
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...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho: μ = 83.4
Ha: μ > 83.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=54, with
mean M=85.2, and a standard deviation of SD=11.7.
1. What is the test statistic for this sample? (Report
answer accurate to THREE decimal places.)
test statistic =
2. What is the p-value for this sample?...

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 ( H a Ha ) at a
significance level of α = 0.02 α=0.02 .
H o : p 1 = p 2 Ho:p1=p2 H a : p 1 ≠ p 2 Ha:p1≠p2
You obtain 125 successes in a sample of size n 1 = 241 n1=241
from the first population. You obtain 257 successes in a sample of
size n 2 = 577 n2=577 from the second population.
What is the test...

You wish to test the following claim (Ha) at a significance
level of α=0.002.
Ho : p1 = p2
Ha : p1 < p2
You obtain 34.9% success in a sample of size n1=450 from the first
population. You obtain 41.5% successes in a sample of size n2=638
from the second population. 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...

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 (Ha) at a significance
level of α=0.02α=0.02.
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed and you know the
standard deviation is σ=12.7. You obtain a sample mean of M=76.1
for a sample of size n=21
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...

You wish to test the following claim at a significance level of
α=0.001α=0.001.
Ho:p=0.24Ho:p=0.24
Ha:p<0.24Ha:p<0.24
You obtain a sample of size n=695n=695 in which there are 139
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) α
greater than α
This test statistic leads to a decision to...
reject...

You wish to test the following claim a significance level of
α=0.01.
Ho:p=0.16
Ha:p<0.16
You obtain a sample of size n=649 in which there are 83
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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 25 minutes ago

asked 32 minutes ago

asked 44 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago