Question

- 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% with 99% confidence, what sample size would I need to take instead of the 100?
- Using my original sample size of 100, what would be the 99% confidence interval for the population proportion?
- What are the null and alternative hypotheses?
- What is the critical value at 99% confidence?
- Calculate the test statistic (using the sample of 100).
- Find the p-value.
- What conclusion would be made here at the 99% confidence level?

Answer #1

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 believed that on Thanksgiving, 70% of
people eat pumpkin pie. Suppose we take a sample of 100 people and
find that 75 of the people in that sample eat pumpkin pie on
Thanksgiving. We want to see if there is evidence that the
percentage of people who eat pumpkin pie on Thanksgiving 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 believed that on Thanksgiving,
70% of people eat pumpkin pie. Suppose we take a sample of 100
people and find that 75 of the people in that sample eat pumpkin
pie on Thanksgiving. We want to see if there is evidence that the
percentage of people who eat pumpkin pie on Thanksgiving is
increasing.
If I wanted to control my margin of error and set it to 3% with
99% confidence, what sample size...

It is known that the average tuition per semester at colleges
in Virginia is $3712. Suppose we take a sample of 15 colleges and
find that the average tuition per semester is $4512 with a sample
standard deviation of $595. We are interested in testing if the
average amount of tuition is increasing. Show work and formulas
used.
Using the sample of 15 people, what would the 95% confidence
interval be for the population mean?
What are the null and...

It is known that the average tuition per semester at colleges
in Virginia is $3712. Suppose we take a sample of 15 colleges and
find that the average tuition per semester is $4512 with a sample
standard deviation of $595. We are interested in testing if the
average amount of tuition is increasing.
Using the sample of 15 people, what would the 95% confidence
interval be for the population mean?
What are the null and alternative hypotheses?
What is the...

It is known that the average American orders food from a
restaurant in person or as take out 4.2 times a week on average.
Suppose we take a sample of 30 Americans and find that the average
amount of meals ordered out is 3.2 per week with a sample standard
deviation of 2.82 meals. We are interested in testing if the
average amount of meals ordered out is actually lower than 4.2 now.
Using the sample of 30 adults, what...

Suppose we are interested in analyzing the weights of NFL
players. We know that on average, NFL players weigh 247 pounds with
a population standard deviation of 47 pounds. Suppose we take a
sample of 30 new players and we find that the average weight from
that sample is 237 pounds. We are interested in seeing if the
weight of NFL players is decreasing
If I wanted to control my margin of error and set it to 5 at
90%...

A confidence interval was used to estimate the proportion of
statistics students who are female. A random sample of 72
statistics students generated the following confidence interval:
(.438, .642). Using the information above, what sample size would
be necessary if we wanted to estimate the true proportion to within
3% using 99% reliability?

3. The average pulse rate is known to be 80 beats per minutes.
Suppose we take a sample of 30 adults and find that the average
heart rate in the sample is 73.76 with a sample standard deviation
of 7.06. We are interested in testing if the average pulse rate is
actually lower than 80 beats per minute. ( please show all steps
and how you got each number)
a. Using the sample of 30 adults, what would the 95%...

For each hypothesis test, you must state (a) hypotheses,
(b) test statistic, p-value, (c) rejection rule, and (d) both parts
of the conclusion. It is only necessary to calculate the
effect size if the problem calls for it. Use a .05 level of
significance for all hypothesis tests. Use StatCrunch to complete
all hypothesis tests and confidence intervals. Make sure you copy
and paste the relevant output for the solutions
(10 points) In a sample of 100 people who do...

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