Question

onsider the hypothesis test below, with nequals63 and p overbarequals0.41. Upper H 0: pequals0.36 Upper H Subscript Upper A: pnot equals0.36 alphaequals0.01 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than nothing or less than nothing. Otherwise, do not reject the null hypothesis. B. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than nothing and less than nothing. Otherwise, do not reject the null hypothesis. C. Reject the null hypothesis if the calculated value of the test statistic, z, is less than nothing. Otherwise, do not reject the null hypothesis. D. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than nothing. Otherwise, do not reject the null hypothesis.

Answer #1

Given that, n = 63 and

The null and the alternative hypotheses are,

since, it is two-tailed test, critical values at 0.01 level of
significance are, Z^{*} = ± 2.58

a) Decision rule: Reject the null hypothesis if the calculated
value of the test statistic, z, is greater than
**2.58** or less than **-2.58.**
Otherwise, do not reject the null hypothesis.

b) Test statistic is,

Test statistic = Z = **0.83**

c) Since, test statistic = 0.83 < 2.58

we fail to reject the null hypothesis (H_{0}).

Examine the following hypothesis test with
nequals=22
x overbarxequals=71.4
sequals=9.8
and
alphaαequals=0.025
H0:
muμ
less than or equals≤
70
HA:
muμ
greater than>
70
a. State the decision rule in terms of the critical value of the
test statistic.
b. State the calculated value of the test statistic.
c. State the conclusion.
a. State the decision rule. Select the correct choice below and
fill in any answer boxes in your choice.
(Round to four decimal places as needed.)
A.Reject the...

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...

For a test of Upper H 0: pequals0.50, the z test statistic
equals 1.72. Use this information to complete parts (a) through
(d) below.
a. Find the P-value for Upper H Subscript a: pgreater
than0.50. nothing (Round to three decimal places as needed.)
b. Find the P-value for Upper H Subscript a: pnot equals0.50.
nothing (Round to three decimal places as needed.)
c. Find the P-value for Upper H Subscript a: pless than0.50.
(Hint: The P-values for the two possible...

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0 : p equals 0.85 versus Upper H 1 : p not equals
0.85H0: p=0.85 versus H1: p≠0.85
n equals 500 comma x equals 410 comma alpha equals 0.01n=500,
x=410, α=0.01
Is
np 0 left parenthesis 1 minus p 0 right parenthesis greater than
or equals 10np01−p0≥10?
Select the correct choice below and fill in the answer box to
complete your choice....

22. The P-value for a hypothesis test is shown. Use the
P-value to decide whether to reject Upper H 0 when the level of
significance is (a) alphaequals0.01, (b) alphaequals0.05, and
(c) alphaequals0.10. Pequals0.0368 (a) Do you reject or fail to
reject Upper H 0 at the 0.01 level of significance? A. Fail to
reject Upper H 0 because the P-value, 0.0368, is less than
alphaequals0.01. B. Reject Upper H 0 because the P-value,
0.0368, is greater than alphaequals0.01. C....

State
Upper H 0H0
and
Upper H Subscript aHa
in words and in symbols. Then determine whether the hypothesis
test is left-tailed, right-tailed, or two-tailed. Explain your
reasoning. Sketch a normal sampling distribution and shade the area
for the P-value.A report claims that lung cancer accounts
fornothing
3333%
of all cancer diagnoses.
State the null hypothesis in words and in symbols.
The null hypothesis expressed in words is the proportion of
cancer diagnoses attributable to lung cancer
▼
is at...

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.
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...

Consider the following hypothesis test. Given that n = 84, σ =
8, x = 49.9, and α = 0.01, complete parts a through d below.
H0: μ ≤ 47
HA: μ > 47
a. State the decision rule in terms of the critical value(s) of the
test statistic.
Reject the null hypothesis if the calculated value of the test
statistic, (1)_________ is (2)______________ the critical
value(s),____________ . Otherwise, do not reject the null
hypothesis.
(Round to two decimal places...

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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