Question
In: Statistics and Probability
In a random sample of 100 viewers, 72% had a favourable impression of a new TV...
In a random sample of 100 viewers, 72% had a favourable impression of a new TV ad campaign.
(a) Test the hypothesis that fewer than 80% of the population of
all viewers have a favourable view of the ad campaign. Use the .05
level of significance. Explain your conclusion.
(b) Construct a 95% confidence interval for the proportion of the
population of all viewers who have a favourable view of the ad
campaign. Interpret your results.
Solutions
orchestra answered 1 year agoRelated Solutions
In a random sample of 100 viewers, 72% had a favourable impression of a new TV...
In a random sample of 100 viewers, 72% had a favourable
impression of a new TV ad campaign. (a) Test the hypothesis that
fewer than 80% of the population of all viewers have a
favourable
view of the ad campaign. Use the .05 level of significance.
Explain your conclusion.
(b) Construct a 95% confidence interval for the proportion of the
population of all viewers who
have a favourable view of the ad campaign. Interpret your
results.
In a sample of 2242 adult TV viewers, 786 are subscription streamers. Can you conclude that...
In a sample of 2242 adult TV viewers, 786 are subscription
streamers. Can you conclude that the true fraction of adult TV
viewers who are subscription streamers differs from 1/3? Use
a=0.10. Do we reject the null hypothesis?
A random sample of 100 cable TV movies contained an average of 3.38 acts of physical...
A random sample of 100 cable TV movies contained an average of
3.38 acts of physical violence per program. At the 99% level, what
is your estimate of the population value? o X=3.38 o S=0.30 o
N=100
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample...
Consider H0 : μ = 72 versus H1 : μ > 72 ∶ A random sample of
16 observations taken from this population produced a sample mean
of 75.2. The population is normally distributed with σ = 6.
a. Calculate the p-value.
b. Considering the p-value of part a, would you reject the null
hypothesis if the test were made at a significance level of
.01?
c. Find the critical value and compare it with the test
statistic. What would...
In 1995, a random sample of 100 adults that had investments in the stock market found...
In 1995, a random sample of 100 adults that had investments in
the stock market found that only 20 said they were investing for
the long haul rather than to make quick profits. A simple random
sample of 100 adults that had investments in the stock market in
2002 found that 36 were investing for the long haul rather than to
make quick profits. Let p1995 and p2002 be the actual proportion of
all adults with investments in the stock...
A random sample of 100 postal employees found that the average time these employees had worked...
A random sample of 100 postal employees found that the average
time these employees had worked for the postal service was x(bar) =
7 years, with standard deviation s = 2 years. Assume the
distribution of the time the population of employees has worked for
the postal service is approximately normal, with mean μ. Are these
data evidence that μ has changed from the value of 7.5 years of 20
years ago? Carry a test of significance at 1% and...
A random sample of 200 books purchased at a local bookstore showed that 72 of the...
A random sample of 200 books purchased at a local bookstore
showed that 72 of the books were murder mysteries. Let ?? be the
true proportion of books sold by this store that are murder
mysteries. Test the claim at the 1% level of significance that half
of the books are sold.
a) Details given in the problem:
b) Assumptions (if any):
c) Null, Alternate Hypotheses and the tail test?
H0:
H1:
Tail?
d) Find the Critical Statistic (Table value)...
A random sample of 200 books purchased at a local bookstore showed that 72 of the...
A random sample of 200 books purchased at a local bookstore
showed that 72 of the books were murder mysteries. Let p be the
true proportion of books sold by this store that is murder mystery.
Construct a confidence in terval with a 95% degree of
confidence.Compute the following:
a.Point estimate
b.Critical value
c.Margin of error
d.Confidence interval
e.Interpretation(confidence statement).
A random sample is drawn from a population with mean μ = 72 and standard deviation...
A random sample is drawn from a population with mean μ
= 72 and standard deviation σ = 6.0. [You may find
it useful to reference the z table.]
a. Is the sampling distribution of the sample
mean with n = 17 and n = 45 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 17 will have...
(3 pts) A random sample of 100 freshman showed 10 had satisfed the university mathematics requirement...
(3 pts) A random sample of 100 freshman showed 10 had satisfed
the university mathematics requirement and a second random sample
of 50 sophomores showed that 12 had satisfied the university
mathematics requirement. Enter answers below rounded to three
decimal places.
(a) The relative risk of having satisfied the university
mathematics requirement for sophomores as compared to freshmen is
(b) The increased risk of having satisfied the university
mathematics requirement for sophomores as compared to freshmen
is
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