Question

A random sample of 200 apples was taken from an orchard and 30 were found rotten. Form a 99% confidence interval for the proportion of rotten apples in the orchard

Answer #1

Suppose that a random sample 80 recent graduates of students is
taken and it is found that 30 of them participated in an
undergraduate research project while at school. a) Find a 99%
confidence interval for the population proportion of students who
participate in undergraduate research while at school. b) Using the
fact that 30 out of the 80 graduates participated in undergraduate
research, how large a sample of graduates is needed to arrive at a
99% confidence interval with...

1. After the last frost, 189 apples were picked randomly and 43
were found to be not fit for sale.
a. Construct a 95% confidence interval for the population
proportion of unsaleable apples.
b. How large a sample should be taken to estimate the proportion of
unsaleable apples to
within 2% of population proportion, using:
i:p*=43/189 ii. P*=1/2 ?

Victoria wants to estimate the mean weight of apples in her
orchard. She'll sample m apples and make a 95% confidence interval
for the mean weight. She is willing to use o = 15 grams as an
estimate of the standard deviation, and she wants the margin of
error to be no more than 5 grams.
Which of these is the smallest approximate samole soze
required to obtain the desired margin of error?
Choose 1 answer;
A. 5 apples
B....

A random sample of 200 students was drawn from a large
university. It was found that 73 students in this sample live in
off-campus apartment. Construct a 90% confidence interval for the
proportion of students in this university that live in off-campus
apartment. Use normal approximation in this question.
You can also take a look at Wilson score
interval.

In a random sample of 50 professional actors, it was
found that 36 were extroverts.
a. Let p represent the proportion of all actors who are extroverts.
Find a point estimate p for p.
b. Find a 99% confidence interval for p.
c. Interpret the meaning of the confidence interval in
the context of this problem.

1.) Suppose that 45% of students have taken an online course. A
random sample of 200 students is taken, of which 100 have taken an
online course.
A.) What is the probability of obtaining a sample proportion
this high or higher?
B.) There is some thought that the proportion taking online
courses is no longer 45%. Based on the random sample, construct a
95% confidence interval for the proportion of students who have
taken an online course.
C.) Compute the...

In a sample of 200 homes in Lagrange,
40 were found to have unsafe radon levels and of 100 homes in Hyde
Park, 30 had unsafe radon levels. Form a 95% confidence interval on
the difference in the proportions.

From a random survey of 400 individuals in India, 70 were found
to be undernourished.
a. Provide a 99% confidence interval for the proportion of
individuals in India who are undernourished.
b. If the population of India is 1.35 billion. Provide a 99%
confidence interval for the total number of India residents who are
undernourished (the final interval values are all that are needed
here).

In a random sample of 519 judges, it was found that 285 were
introverts. Find a 99% confidence interval for the proportion of
all judges who are introverts. (Round all calculations
off to 3 decimal places.) Interpret the confidence
interval in the context of the problem and find the following.
n
x
p-hat
q-hat = 1 - phat
Confidence Level
z
value
Margin of Error
Point Estimate
Lower Limit
Upper Limit

In
a random sample of 251 Ewoks, it was found that 103 were
superstitious.
1. What percentage of Ewoks polled are superstitious?
2. What is the standard error for the estimate of the
proportion of all Ewoks that are superstitious?
3. Report the 99% confidence interval for the proportion of
all superstitious Ewoks?
4. According to Princess Leia, the majority of Ewoks are
superstitious. Is she correct explain?

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