Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

Upper H 0H0:

pequals=0.40.4

versus

Upper H 1H1:

pgreater than>0.40.4

nequals=100100;

xequals=5050;

alphaαequals=0.05

1) Calculate the test statistic, Z0

2) Identify the P Value

3)Choose the correct result:

- Do not reject the null hypothesis; b/c the p value is less than α

-Do not reject the null hypothesis; b/c the p value is greater than α

- Reject the null hypothesis; b/c the p value is less than α

- Reject the null hypothesis; b/c the p value is greater than α

Answer #1

1) The following null and alternative hypotheses need to be tested:

This corresponds to a right-tailed test, for which a z-test for one population proportion needs to be used.

The z-statistic is computed as follows:

Since it is observed that z=2.041>zc=1.64, it is then
concluded that *the null hypothesis is rejected.*

2) The p-value is p=0.0206, and since p=0.0206<0.05, it is concluded that the null hypothesis is rejected.

3) It is concluded that the null hypothesis **Ho
is** * rejected.* Therefore, there is
enough evidence to claim that the population proportion p is
greater than p0, at the α=0.05 significance level.

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0H0:
pequals=0.40.4
versus
Upper H 1H1:
pgreater than>0.40.4
nequals=125125;
xequals=6060;
alphaαequals=0.010.01
Click here to view page 1 of the table.
LOADING...
Click here to view page 2 of the table.
LOADING...
Calculate the test statistic,
z 0z0.
z 0z0equals=nothing
(Round to two decimal places as needed.)

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0H0:
pequals=0.40.4
versus
Upper H 1H1:
pgreater than>0.40.4
nequals=200200;
xequals=8585;
alphaαequals=0.10.1
Click here to view page 1 of the table.
LOADING...
Click here to view page 2 of the table.
LOADING...
Calculate the test statistic,
z 0z0.
z 0z0equals=nothing
(Round to two decimal places as needed.)

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. Upper H 0H0: p equals=0.3
versus Upper H 1H1: p greater than>0.3 n equals=125; x
equals=43; alphaαequals=0.1

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H0:
pequals=0.8
versus
Upper 1H :p
greater than>0.80
nequals=250
xequals=205
alphaαequals=0.05
Is
np 0 left parenthesis 1 minus p 0 right
parenthesisnp01−p0greater than or equals≥10?
Use technology to find the P-value.
P-valueequals=nothing
(Round to three decimal places as needed.)

Test the hypothesis using the p-value approach
Upper H 0H0: pequals=0.3
versus
Upper H 1H1: pgreater than>0.3
n=200; x=65, alphaαequals=0.01
Is np 0 left parenthesis 1 minus p 0 right
parenthesisnp01−p0greater than or equals≥10? yes or no
p value (round to three decimal places)=
(reject or do not reject?) the null hypothesis because the p
value is (greater or less) than x.

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. H0: p=0.6 versus H1:
p>0.6 n=125; x=85; α=0.1
______________________________________________
Calculate the test statistic, z0.
z0=__ (Round to two decimal places as needed.)
______________________________________________
Identify the P-value.
P-value=__ (Round to three decimal places as needed.)
______________________________________________
Choose the correct result of the hypothesis test for the
P-value approach below.
A. Reject the null hypothesis, because the P-value is greater
than α.
B. Reject the null...

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. Upper H 0: pequals0.5 versus
Upper H 1: pgreater than0.5 nequals250; xequals140;
alphaequals0.01 Click here to view page 1 of the
table.LOADING... Click here to view page 2 of the
table.LOADING... Calculate the test statistic, z 0. z 0equals
nothing (Round to two decimal places as needed.) Identify the
P-value. P-valueequals nothing (Round to three decimal places as
needed.) Choose the correct result of...

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. Upper H 0: pequals0.9 versus
Upper H 1: pgreater than0.9 nequals200; xequals185,
alphaequals0.1 Is np 0 left parenthesis 1 minus p 0 right
parenthesisgreater than or equals10? Yes No Use technology to find
the P-value. P-valueequals nothing (Round to three decimal
places as needed.) ▼ Do not reject Reject the null hypothesis,
because the P-value is ▼ less greater than alpha.

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0 : p equals 0.61 versus Upper H 1 : p less than 0.61H0:
p=0.61 versus H1: p<0.61
n equals 150 comma x equals 84 comma alpha equals 0.01n=150,
x=84, α=0.01
Is
np 0 left parenthesis 1 minus p 0 right parenthesis greater than
or equals 10np01−p0≥10?
No
Yes
Use technology to find the P-value.
P-valueequals=nothing
(Round to three decimal places as...

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
H0: p=0.92 versus H1: p≠0.92
n=500, x=450, α=0.05
Is
np01−p0≥10?
Select the correct choice below and fill in the answer box to
complete your choice.
(Type an integer or a decimal. Do not round.)
A.Yes, because
np01−p0=nothing.
B.No, because
np01−p0=
Now find
p.
p=
(Type an integer or a decimal. Do not round.)Find the test
statistic
z0.
z0=
(Round to two decimal places as...

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