The survival rate of a cancer using an existing medication is known to be 30%. A...

The survival rate of a cancer using an existing medication is known to be 30%. A pharmaceutical company claims that the survival rate of a new drug is higher. The new drug is given to 15 patients to test for this claim. Let X be the number of cures out of the 15 patients. Suppose the rejection region is {8 }.≥X a. State the testing hypotheses. b. Determine the type of error that can occur when the true survival rate is 25%. Find the error probability. c. Determine the type of error that can occur when the true survival rate is 30%. Find the error probability. d. Determine the type of error that can occur when the true survival rate is 40%. Find the error probability. e. What is the level of significance?

Expert Solution

milcah answered 7 months ago

A. Suppose that, for a particular type of cancer, chemotherapy provides a 5-year survival rate of...

A. Suppose that, for a particular type of cancer, chemotherapy provides a 5-year survival rate of 72%. Among 20 patients diagnosed to have this form of cancer who are just starting the chemotherapy, find the probability that at least 15 of them survive at 5-years or longer. Round answer to 3 significant digits. B. A home insurance company charges $2500 for the insurance policy. The policy only covers two kinds of claims -- minor and large. Eight percent of homeowners...

2. The 5 year survival rate for a type of cancer is 76%. You conduct research...

2. The 5 year survival rate for a type of cancer is 76%. You conduct research on a treatment for this cancer and find that for the 96 cancer patients who had this form of cancer and were given this new treatment that after 5 years 80 were still alive. a) At the .05 level did your new treatment have any effect on the survival rate? (note: p = .092) b) How do you explain the 6.3% difference in the...

Metastasis is responsible for about 90% of cancer associated deaths. The five year survival rate comparisons...

Metastasis is responsible for about 90% of cancer associated deaths. The five year survival rate comparisons for metastatic and non-metastatic tumors in various tissues was presented in lecture 10. The prostate cancer survival rate for non-metastatic tumors is 100%, whereas for liver cancer it is 28%. Why do you think there is such a big difference in survival rates for these two cancer types when both are non-metastatic tumors? (5 points)

A new study compares the effectiveness of a new pain medication to an existing pain medication...

A new study compares the effectiveness of a new pain medication to an existing pain medication and placebo. Which of the following best represents the dependent variable and the independent variable for this study? The dependent variable is the type of medication dispensed to the patient and the independent variable is the dosage of the medication dispensed to the patient. The dependent variable is a measure of pain experienced by the patient and the independent variable is a measure of...

The survival rate during a risky operation for patients with no other hope of survival is...

The survival rate during a risky operation for patients with no other hope of survival is 90%. What is the probability that exactly four of the next five patients survive this operation? (Give your answer correct to three decimal places.)

nment standards limit the airborne amount of a known cancer causing gas. A company using a...

nment standards limit the airborne amount of a known cancer causing gas. A company using a known cancer causing gas in its production process limits the exposure of its employees to the gas by shutting down production when the amount of the gas reaches 3 ppm with a standard deviation of 0.5 ppm. (2) If you are the plant manager and you are told management wants as little down time as possible, would you choose a larger or a smaller...

Government standards limit the airborne amount of a known cancer causing gas. A company using a...

Government standards limit the airborne amount of a known cancer causing gas. A company using a known cancer causing gas in its production process limits the exposure of its employees to the gas by shutting down production when the amount of the gas reaches 3 ppm with a standard deviation of 0.5 ppm. (2) If you are the plant manager and you are told management wants as little down time as possible, would you choose a larger or a smaller...

Suppose the survival time (in months) of certain type of a fatal cancer is a random...

Suppose the survival time (in months) of certain type of a fatal cancer is a random variable X with pdf f(x) = 0.1 e^^{-0.1x} , x > 0 from onset. (a) Find the probability that a patient will live less than a year from onset. (b) Find the probability that a patient will live between 6 months to 18 months from onset. (c) Find the probability that a patient will live more than two years from onset.

What are some reasons for differences in cancer occurrence, treatments, and survival among populations worldwide?

In a study examining the survival of cancer patients, 100 patients were enrolled at baseline. After...

In a study examining the survival of cancer patients, 100 patients were enrolled at baseline. After one year, 20 patients were known to have died. Assuming no patients were lost to follow-up, what was the probability of surviving one year? (OK to show numerator/denominator)What would be the one-year survival rate in the previous question if ten patients had been lost to follow-up during the first year? Use the life table method.

Question