Question

Confidence Intervals A drug company has introduced a new test for the flu. In a random...

Confidence Intervals

  1. A drug company has introduced a new test for the flu. In a random sample of 150 US adults, the new test is accurate for 125 adults.

    1. Find the 99% confidence interval for the proportion of accurate tests for all US adults.

    2. Interpret the confidence interval in the words of the problem.

    3. Find the error bound.

    4. Does this data and analysis provide evidence so that the company can claim its new test is accurate in more than 80% of all US adults? Justify!

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A drug company has introduced a new test for the flu. In a random sample of...
A drug company has introduced a new test for the flu. In a random sample of 150 US adults, the new test is accurate for 125 adults. a. Find the 99% confidence interval for the proportion of accurate tests for all US adults. b. Interpret the confidence interval in the words of the problem. c. Find the error bound. d. Does this data and analysis provide evidence so that the company can claim its new test is accurate in more...
3. In a random sample of 1100 American adults it was found that 320 had hypertension...
3. In a random sample of 1100 American adults it was found that 320 had hypertension (high-blood pressure). The US Department of Health and Human Services (HHS) wants the population proportion of hypertension to 16% by 2022. a. Find the 95% confidence interval for the proportion of all adult Americans that have hypertension. b. Interpret the confidence interval in the words of the problem. c. Find the error bound. d. Does this data and analysis provide evidence that the population...
The Ajax Company just bought a new machine that makes boots. In a random sample of...
The Ajax Company just bought a new machine that makes boots. In a random sample of forty boots produced by the new machine, they find that the mean weight is 1550 grams with a standard deviation of 210 grams. Their old machine produced boots with a true mean weight of 1450 grams. (Answer all 4 parts) Find a 95% confidence interval for the true mean weight using the new machine. Interpret the confidence interval in context. Find the error bound...
In a clinical trial, 159 flu patients took a newly developed drug and 103 of them...
In a clinical trial, 159 flu patients took a newly developed drug and 103 of them recovered from the flu within 48 hours. 1. What is the sample statistic (p̂ or ȳ)? Please calculate/write its value. 2. Construct a 95% confidence interval for the true proportion of all flu patients who will recover within 48 hours of taking this new drug. Provide the interval in (left endpoint, right endpoint) format. 3. Interpret the meaning of your confidence interval in the...
Suppose that a pharmaceutical company claims that it has a new cure for the flu, and...
Suppose that a pharmaceutical company claims that it has a new cure for the flu, and that %96 of flu sufferers will fully recover within 24 hours of taking the drug. As a first test on the claim, a clinic will give the drug to 25 people diagnosed with the flu and check on their condition 24 hours later. Suppose that company’s claim is perfectly accurate. 1. Let random variable X be the number of people tested who will recover...
A new drug for migraine headaches has been introduced to the market. You would like to...
A new drug for migraine headaches has been introduced to the market. You would like to know if migraine patients prefer the old drug or the new drug. So, you sample 190 patients that have used both drugs and you find that 52% of the sampled patients prefer the new drug, 48% of the patients prefer the old drug. Find the 90% confidence limit for the proportion of all patients that prefer the new drug. Can you be 90% confident...
A polling organization interviewed by phone 400 randomly selected adults in New York City about their...
A polling organization interviewed by phone 400 randomly selected adults in New York City about their opinion on random drug testing for taxi drivers and found that 38% favored such a regulation. Find the standard error of the proportion. Find and interpret the 95% confidence interval for the population proportion. Find and interpret the 99% confidence interval for the population proportion..
A healthcare company expects at least 88% of their employees to get a flu shot every...
A healthcare company expects at least 88% of their employees to get a flu shot every year. To estimate the true proportion of employees that received their flu shots, the company samples 300 employees. 249 of those sampled said they received their shots in the last year. a. Determine a 95% confidence interval for the population proportion p and determine the margin of error. b. Interpret your result. Determine whether the company met its expected goal of 88% of employees...
A new cold & flu drug is being tested for possible side effects. It is assumed...
A new cold & flu drug is being tested for possible side effects. It is assumed that the drug is safe, and the tests are looking for evidence to show that it’s unsafe, specifically that it has “turns your hair purple” as a possible side effect. In other words: H0: The drug is completely safe. H1: The drug causes your hair to turn purple. If you work for the pharmaceutical company developing this drug, what would it mean to make...
The Ajax Company just bought a new machine that makes boots. In a random sample of...
The Ajax Company just bought a new machine that makes boots. In a random sample of forty boots produced by the new machine, they find that the mean weight is 1520 grams with a standard deviation of 210 grams. Their old machine produced boots with a true mean weight of 1450 grams. a. Find a 95% confidence interval for the true mean weight using the new machine. b. Interpret the confidence interval in context. c. Find the error bound of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT