Question

(a) Write the claim mathematically and identify

Upper H 0H0

and

Upper H Subscript aHa.

(b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis.In a sample of

10001000

home buyers, you find that

431431

home buyers found their real estate agent through a friend. At

alphaαequals=0.020.02,

can you reject the claim that

4040%

of home buyers find their real estate agent through a friend?

(a) Which of the following correctly states

Upper H 0H0

and

Upper H Subscript aHa?

A.

Upper H 0H0:

pequals=0.400.40

Upper H Subscript aHa:

pgreater than>0.400.40

B.

Upper H 0H0:

pgreater than or equals≥0.400.40

Upper H Subscript aHa:

pless than<0.400.40

C.

Upper H 0H0:

pless than or equals≤0.400.40

Upper H Subscript aHa:

pgreater than>0.400.40

D.

Upper H 0H0:

pgreater than>0.400.40

Upper H Subscript aHa:

pless than or equals≤0.400.40

E.

Upper H 0H0:

pequals=0.400.40

Upper H Subscript aHa:

pnot equals≠0.400.40

F.

Upper H 0H0:

pless than<0.400.40

Upper H Subscript aHa:

pgreater than or equals≥0.40

**Identify H0 And Ha.**

**H0:p**

**Ha:p**

**(Type integers or decimals.)**

**(b) Find the critical value(s) and identify the
rejection region(s).**

**The critical value(s) is/are**

**z 0= .**

**(Round to two decimal places as needed. Use a comma to
separate answers as needed.)**

**(b) What is (are) the critical value(s) of
z0?**

**z 0=**

**(Use a comma to separate answers as needed. Round to
two decimal places as needed.)**

**Which of the following graphs has the rejection
region(s) shaded correctly?**

**(c) What is the standardized test
statistic?**

**zequals=**

**(Round to two decimal places as needed.)**

**(d) Which of the following is the correct conclusion
for the test?**

**A.**

**RejectReject**

**Upper H 0H0.**

**There**

**is notis not**

**enough evidence to reject the claim that**

**49 %49%**

**of buyers find their real estate agent through a
friend.**

**B.**

**RejectReject**

**Upper H 0H0.**

**There**

**isis**

**enough evidence to reject the claim that**

**49 %49%**

**of buyers find their real estate agent through a
friend.**

**This is the correct answer.**

**C.**

**Fail to rejectFail to reject**

**Upper H 0H0.**

**There**

**is notis not**

**enough evidence to reject the claim that**

**49 %49%**

**of buyers find their real estate agent through a
friend.**

**D.**

**Fail to rejectFail to reject**

**Upper H 0H0.**

**There**

**isis**

**enough evidence to reject the claim that**

**49 %49%**

**of buyers find their real estate agent through a
friend.**

Answer #1

A) H_{0}: P = 0.40

H_{1}: P 0.40

B) At alpha = 0.02 the critical values are +/- z_{0.01}
= +/- 2.33

C) The test statistic z = (p - P)/sqrt(P(1 - P)/n)

= (0.431 - 0.4)/sqrt(0.4 * 0.6/1000)

= 2

D) Since the test statistic value is not greater than the upper critical value (2 < 2.33), so we should not reject the null hypothesis.

Option - C) Fail to reject H0. There is not enough evidence to reject the claim that 40% of buyers find their real estate agent through a friend.

(a) Write the claim mathematically and identify Upper H 0 H0 and
Upper H Subscript a Ha. ?(b) Find the critical? value(s) and
identify the rejection? region(s). (c) Find the standardized test
statistic.? (d) Decide whether to reject or fail to reject the null
hypothesis. An environmental agency recently claimed more than 27
27?% of consumers have stopped buying a certain product because of
environmental concerns. In a random sample of 1040 1040 ?consumers,
you find 30 30?% have stopped...

(a) Write the claim mathematically and identify H0 and Ha.
(b) Find the critical value(s) and identify the rejection
region(s).
(c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis.
In a sample of 1797 home buyers, you find that 785 home buyers
found their real estate agent through a friend. At α=0.06, can you
reject the claim that 43% of home buyers find their real estate
agent through a friend?
(a)...

(a) Write the claim mathematically and identify Ho and Ha.
(b) Find the critical value(s) and identify the rejection
region(s).
(c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis.
In a sample of 1000 home buyers, you find that 413 home buyers
found their real estate agent through a friend. At alphaαequals=.06
can you reject the claim that 46% of home buyers find their real
estate agent through a friend?

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
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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
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▼
is at...

The lengths of time (in years) it took a random sample of
3232
former smokers to quit smoking permanently are listed. Assume
the population standard deviation is
6.96.9
years. At
alphaαequals=0.020.02,
is there enough evidence to reject the claim that the mean time
it takes smokers to quit smoking permanently is
1414
years? Complete parts (a) through (e).
10.810.8
19.519.5
8.18.1
17.117.1
20.320.3
13.613.6
8.68.6
16.516.5
20.320.3
7.77.7
20.720.7
13.713.7
16.716.7
21.221.2
15.615.6
8.38.3
16.716.7
21.921.9
22.422.4
12.212.2
18.418.4
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The lengths of time? (in years) it took a random sample of
3232
former smokers to quit smoking permanently are listed. Assume
the population standard deviation is
4.24.2
years. At
alpha?equals=0.060.06?,
is there enough evidence to reject the claim that the mean time
it takes smokers to quit smoking permanently is
1414
?years? Complete parts? (a) through? (e).
21.621.6
21.721.7
20.720.7
7.47.4
21.121.1
14.214.2
12.812.8
15.215.2
10.410.4
16.216.2
15.515.5
20.320.3
16.216.2
17.517.5
19.419.4
13.513.5
20.320.3
20.820.8
10.110.1
15.215.2
10.310.3
22.222.2...

A politician claims that the mean salary for managers in his
state is more than the national? mean, ?81,000. Assume the the
population is normally distributed and the population standard
deviation is ?$9000. The salaries? (in dollars) for a random sample
of 30 managers in the state are listed. At ?=0.1?, is there enough
evidence to support the? claim? Use technology
97,114
79,642
71,801
88,955
76,739
75,497
95,067
95,523
94,043
80,146
96,239
90,034
94,963
76,493
83,155
92,796
71,584
94,954
81,307...

Suppose that you are testing the hypotheses
Upper H 0H0:
pequals=0.160.16
vs.
Upper H Subscript Upper AHA:
pnot equals≠0.160.16.
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300300
results in a sample proportion of
0.220.22.
a) Construct a
9595%
confidence interval for p.b) Based on the confidence interval,
can you reject
Upper H 0H0
at
alphaαequals=0.050.05?
Explain.
c) What is the difference between the standard error and
standard deviation of the sample proportion?
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a) The...

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The mean daily lodging cost for
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families traveling in Region 2 is
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with a population standard deviation of
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At
alpha equals 0.10 commaα=0.10,
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Write the null and alternative hypotheses. Identify which is the
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certain type of light bulb is more thanmore than 725725 hours.
Choose the correct null and alternative hypotheses below. A. Upper
H 0H0: muμgreater than>725725 Upper H Subscript aHa: muμless
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equals≤725725 Upper H Subscript aHa: muμgreater than>725725 C.
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