Question

A new blood test is being developed to screen patients for cancer. Positive results are followed...

A new blood test is being developed to screen patients for cancer. Positive results are followed up by a more accurate (and expensive) test. It is assumed that the patient does not have cancer. Describe the null hypothesis, the Type I and Type II errors for this situation, and explain which type of error is more serious.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A new type of blood test has been developed to screen people for HPV, a virus...
A new type of blood test has been developed to screen people for HPV, a virus than can cause cervical cancer in women and oral cancer in both sexes. A total of 100 people tested positive for the virus, and of these subjects there were 73 who actually had HPV according to the standard microbiology examination. Of those who tested negative for the virus (N=624), there were 618 who were truly negative by the standard examination. Determine the sensitivity and...
A team of researchers has developed a new drug to treat atopic dermatitis, also known as...
A team of researchers has developed a new drug to treat atopic dermatitis, also known as eczema. They want to know if this new drug procedures better results than a commonly prescribed older drug. The side effects of the two drugs are equivalent. The new drug would be more expensive to produce compared to the older drug. To address their research question, they will randomly assign patients to either the new or old drug. Each patient will be examined by...
A certain experimental drug claims a cure rate of at least 75% for males with prostate...
A certain experimental drug claims a cure rate of at least 75% for males with prostate cancer. Describe both the Type I and Type II errors in context. State the null and alternative hypothesis. H0: Ha: Type I error, the null hypothesis is true (in context): Type II error, the null hypothesis is false (in context): Which error is the more serious?
Imagine that you are testing an experimental drug that is supposed to reduce blood pressure but...
Imagine that you are testing an experimental drug that is supposed to reduce blood pressure but is suspected of inducing cancer. You administer the drug to a sample of rodents. Since you know that the tumor rate in this strain is 10% among untreated animals, your null hypothesis (the one which includes an equals sign) is that the tumor rate in treated animals is less than or equal to 10%, that is, the drug is safe, it does not cause...
You are doing a test to see if a pesticide causes cancer. The null hypothesis is...
You are doing a test to see if a pesticide causes cancer. The null hypothesis is that the pesticide does not cause cancer. The alternative hypothesis is that the pesticide does cause cancer. In the context of this problem, describe what a Type I error would be and what a Type II error would be.
A study of 515 patients recently diagnosed with extremely serious diseases (such as terminal cancer, MS,...
A study of 515 patients recently diagnosed with extremely serious diseases (such as terminal cancer, MS, or a brain tumor). Each of the patients were married to a member of the opposite sex; 254 of the patients were female and 261 were male. The researchers followed the couples after the diagnosis, specifically to ask whether the couple divorced soon after the bad diagnosis. Of the couples where the male was ill, 7 resulted in divorce. When the female was the...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 94.2% of the people who have that disease. However, it erroneously gives a positive reaction in 2.7% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions. a. What is the probability of a Type I error?...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood...
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 94.6% of the people who have that disease. However, it erroneously gives a positive reaction in 4.1% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease" to answer the following questions. a. What is the probability of a Type I error?...
Researchers at the University of Washington and Harvard University analyzed records of breast cancer screening and...
Researchers at the University of Washington and Harvard University analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the benefits and downsides of the screening process, the article states that although the rate of false-positives is higher than previously thought, if radiologists were less aggressive in following up on suspicious tests, the rate of false-positives would fall, but the rate of missed cancers would rise. Suppose that such a screening test is used to decide between a null hypothesis...
For the test of significance questions, clearly indicate each of the formal steps in the test...
For the test of significance questions, clearly indicate each of the formal steps in the test of significance. Step 1: State the null and alternative hypothesis. Step 2: Calculate the test statistic. Step 3: Find the p-value. Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.) A method currently used by doctors to screen patients for a certain type of cancer fails to detect...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT