Question

6. Suppose we go back to the example from question 3. Suppose the probability remains at 16% but we now take a sample of size 100. a. What is the standard error of the proportion? b. What is the probability that the sample proportion of people who have white as an ethnicity is between 10% and 25%?

Answer #1

Suppose we go back to the example from question 3. Suppose the
probability remains at 16% but we now take a sample of size 100.
What is the standard error of the proportion?
What is the probability that the sample proportion of people
who have white as ethnicity is between 10% and 25%?
Two estimates are available for the same population parameter.
Estimate one has a standard deviation of 9.3 and estimate two has a
standard deviation of 9.4. Estimate...

3. Similarly to #2, we want to look at ethnicity for the
deaths in New York. We know that 16% of the deaths included in our
data set were to people who identified as white for ethnicity.
Assume we take a sample of 20 deaths.
How many people with white as an ethnicity would you
expect to die from our sample of 20 deaths?
What is the standard deviation?
What is the probability that exactly 2 people with
white as...

Going back to the example from question 3, suppose we
now decide to look at similar data but compare men and women’s
drinking habits.
Gender
Men
Women
Sample Size
20
22
Average Drinks Per Week
10.5
4.7
Sample Standard Deviation
11.7
4.8
What is the 99% confidence interval for the difference between
the average for men and women?
What is the test statistic for the difference from men to
women?
What is the p-value?

Based on past data, it is known that about 8.96% of people who
go to the doctor end up testing positive for influenza. Suppose we
take a sample of 100 doctor visits and find that 9.17% of people
test positive for influenza. We want to see if there is evidence
that the percentage of people who have influenza is increasing.
If I wanted to control my margin of error and set it to 3% with
99% confidence, what sample size...

Based on past data, it is known that about 8.96% of people who
go to the doctor end up testing positive for influenza. Suppose we
take a sample of 100 doctor visits and find that 9.17% of people
test positive for influenza. We want to see if there is evidence
that the percentage of people who have influenza is increasing.
Show all steps with formulas used.
If I wanted to control my margin of error and set it to 3%...

Suppose that 55% of voters will vote “YES” to proposition 30. If
we take a sample of size 100, what is the probability that the
sample proportion exceeds 50%?

Question: The probability that a standard
normal variable, Z, is below 1.96 is 0.4750. (T/F)
Question-After an
extensive advertising campaign, the manager of a company wants to
estimate the proportion of potential customers that recognize a new
product. She samples 120 potential consumers and finds that 54
recognize this product. She uses this sample information to obtain
a 95 percent confidence interval that goes from 0.36 to 0.54.
True or False: 95 percent of the people will recognize the
product...

Suppose we wish to make
an estimate of the proportion of the population that has a learning
disability. We take a random sample of 100
people. In this sample, 15% of the respondents have a
learning disability.
1. Construct a
95% confidence interval for the proportion of people in the
population who have a learning disability.
2. Interpret,
in words, the meaning of this
interval.

Suppose that we have a population proportion P=0.30 and a random
sample of size n=100 drawn from the population.
What is the probability that the sample proportion is between
0.22 and 0.34?

Suppose that we take a random sample of size n from a population
having a mean μ and a standard deviation of σ. What is the
probability or confidence we have that our sample will be within
+/- 1 of the population mean μ?
(a) μ = 10, σ = 2, n = 25

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