Question

The Wall Street Journal reported that the age at first startup for 75% of entrepreneurs was 29 years of age or less and the age at first startup for 25% of entrepreneurs was 30 years of age or more. (a) Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less. If required, round your answers to four decimal places. np = n(1-p) = E(p) = σ(p) = (b) Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more. If required, round your answers to four decimal places. np = n(1-p) = E(p) = σ(p) = (c) Are the standard errors of the sampling distributions different in parts (a) and (b)? Justify your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answer #1

Suppose a simple random sample of size n+75 is obtained from a
population whose size is N=10,000 and whose population proportion
with a specified characteristic is p= 0.6 . Complete parts (a)
through (c) below.
(a) Describe the sampling distribution of p^. Choose the phrase
that best describes the shape of the sampling distribution
below.
A.) Not normal because n<_ 0.05N and np(1-p)<10.
B.) Approximately normal because n<_0.05N and
np(1-p)>_10.
C). Not normal because n<_0.05N and np(1 -p)>_10.
D). Approximately...

1) People end up tossing 12% of what they buy at the grocery store.
Assume this is the true population proportion and that you plan to
take a sample survey of 540 grocery shoppers to further investigate
their behavior. Show the sampling distribution of p, the proportion of
groceries thrown out by your sample respondents. If required, round
your answer to four decimal places.
2) eBook
Twenty-two percent of primary care doctors think their patients
receive unnecessary medical care. If...

The president of Doerman Distributors, Inc., believes that 30%
of the firm's orders come from first-time customers. A random
sample of 150 orders will be used to estimate the proportion of
first-time customers.
(a)Assume that the president is correct and p
= 0.30.
What is the sampling distribution of p for n =
150? (Round your answer for σp to four
decimal places.)
σp=
E(p)=
Since np = and n(1 − p)
= , approximating the sampling distribution with a
normal distribution ---Select---...

Education Rate - According to
the Department of Education, 32% of adults over the age of 25 in
the United States have earned at least a bachelor’s degree. Suppose
this is the true proportion of all adults over the age of 25 that
have earned at least a bachelor’s degree. A random sample of 200
adults over the age of 25 will be selected and their highest degree
will be recorded.
Let X represent the number of adults over the...

From generation to generation, the mean age when smokers first
start to smoke varies. However, the standard deviation of that age
remains constant at around 2.1 years. A survey of 39 smokers of
this generation was done to see if the mean starting age is at
least 19. The sample mean was 18.1 with a sample standard deviation
of 1.3. Do the data support the claim at the 5% level?
1. State the distribution to use for the test. (Round...

The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 53 records
of automobile driver fatalities in a certain county showed that 33
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.01.
(a) What is the level of significance?
State the null and alternate...

The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 53 records
of automobile driver fatalities in a certain county showed that 35
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.05.
a) What is the level of significance?
State the null and alternate...

Women athletes at the a certain university have a long-term
graduation rate of 67%. Over the past several years, a random
sample of 39 women athletes at the school showed that 22 eventually
graduated. Does this indicate that the population proportion of
women athletes who graduate from the university is now less than
67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p <...

In 1960, census results indicated that the age at which men in
a certain region first married had a mean of 23.4 years. It is
widely suspected that young people today are waiting longer to get
married. We want to find out if the mean age of first marriage has
increased since then. Complete parts a through f below.
a.) Write appropriate hypotheses.
H0:
HA:
b.)
We plan to test our hypothesis by selecting a random sample of
40 men...

The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 52 records
of automobile driver fatalities in a certain county showed that 34
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.10.
(a) What is the level of significance?
Answer: 0.10
State the null...

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