Question

USA Today reported that about 47% (.47) of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 987 Chevrolet owners and found that 490 said they would buy another Chevrolet.

Does this indicate
that the population proportion of consumers loyal to the Chevrolet
is more than 47%? Use *α* = 0.01. Solve the problem by
calculating the value of z and the probability associated with it.
Find the difference in the two proportions (population and sample)
and divide by the standard error - which is 0.016 for this problem
- to get the value of the test statistic. Since the sampling
distribution of *p̂* is the normal distribution, you can use
critical values from the standard normal distribution as shown in
the table of critical values of the z distribution. (Round the test
statistic and the critical value to two decimal places. Round the
p-value to four decimal places.)

A: test statistic =

B: critical value =

C: p-value=

2. An Independent Samples t test produces the following results: t(29) = 5.15, p < .05.

1) How many participants were included in the study?

2) What was the decision abut the Null Hypothesis?

Answer #1

1)

Claim: The population proportion of consumers loyal to the Chevrolet is more than 47%.

The null and alternative hypothesis is

H0: P 0.47

H1: P > 0.47

Level of significance = 0.01

Sample size = n = 987

x = 490

Test statistic is

Critical value = 2.32

Test statistic z < critical value we fail to reject the null hypothesis.

Conclusion:

The population proportion of consumers loyal to the Chevrolet is NOT more than 47%.

2)

1) t(29) = 5.15 , p < 0.05

n - 1 = 29

n = 30

2) P-value < 0.05 we reject null hypothesis.

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1000 Chevrolet owners and found that 502 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to the car company is more than 47%?
Use α = 0.01. Solve the problem using both the traditional
method and the P-value...

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1007 Chevrolet owners and found that 485 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
What is the value of the sample test statistic? (Round your answer
to...

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1002 Chevrolet owners and found that 487 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
What is the value of the sample test statistic? (Round your
answer to...

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1008 Chevrolet owners and found that 483 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
(b) What is the value of...

USA Today reported that about 47% of the general consumer
population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1003 Chevrolet owners and found that 486 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%?
Use α = 0.01. (a) What is the level of significance? State the
null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1004 Chevrolet owners and found that 482 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1001 Chevrolet owners and found that 483 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1003 Chevrolet owners and found that 481 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1003 Chevrolet owners and found that 486 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....

USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1006 Chevrolet owners and found that 488 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) State the null and alternate hypotheses. (Pick one)
H0: p = 0.47;...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 24 minutes ago

asked 30 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago