Question

It is claimed that a new treatment is more effective than the standard treatment for prolonging...

It is claimed that a new treatment is more effective than the standard treatment for prolonging the
lives of terminal cancer patients. The standard treatment has been in use for a long time, and from
records in medical journals, the mean survival period is known to be 4.2 years. The new treatment
is administered to 80 patients and their duration of survival recorded. The sample mean and the
standard deviation are found to be 4.5 and 1.1 years, respectively. Answer the following questions.
(a) Define µ in the context of the problem and formulate the null and alternative hypotheses.
(b) State the Type I and Type II errors for this problem and tell why Type I error is more serious.
(c) State the Z-test statistic for this problem and tell its distribution.
(d) Is the small, large or both small and large value of the Z-test statistic that will lead us to reject
the null hypothesis?
(e) Suppose the significance level is 0.05. Determine the critical value for the rejection region and
write down the decision rule.
(f) Calculate the value of Z-test statistic from the available data.
(g) Determine whether or not the null hypothesis is rejected at the significance level and tell why.
(h) Calculate the P-value and do the hypothesis testing based on the P-value.
(i) Express the conclusion in the context of the problem, using common English.

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
It is claimed that a new treatment for prolonging the lives of cancer patients is more...
It is claimed that a new treatment for prolonging the lives of cancer patients is more effective than the standard one. Records of earlier research show the mean survival period to have been 4.3 years with the standard treatment. The new teatment is administered to a sample of 20 patients, and the durations of their survival are recorded. The sample mean is 4.6 years, and the standard deviation is 1.2 years. Is the claimed effectiveness of the new method supported...
steel factory produces iron rods that are supposed to be 36 inches long. The machine that...
steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control department...
A hospital reported that the normal death rate for patients with extensive burns (more than 40%...
A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 44 of 95 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped since using...
A hospital reported that the normal death rate for patients with extensive burns (more than 40%...
A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 44 of 95 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped since using...
A hospital reported that the normal death rate for patients with extensive burns (more than 40%...
A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 44 of 93 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped since using...
The mean survival time for patients with a particular form of disease is 4 years. A...
The mean survival time for patients with a particular form of disease is 4 years. A new treatment is tried on 20 patients with this particular disease and their average survival time is 4.7 years with a standard deviation of 1.5 years. (a) State the direction of the alternative hypothesis to test if the new treatment constitutes a significant improvement in survival time. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or...
10) (1 point) A psychologist has developed a new treatment for acrophobia (the extreme fear of...
10) (1 point) A psychologist has developed a new treatment for acrophobia (the extreme fear of heights) and wants to compare the results of this new treatment to the results of the standard treatment. A study is conducted where a random sample of 12 patients undergo the new treatment and their improvement scores on a diagnostic test are compared to a control sample of 13 patients who received the standard treatment. Summary scores for both groups are shown in the...
A hospital reported that the normal death rate for patients with extensive burns (more than 40%...
A hospital reported that the normal death rate for patients with extensive burns (more than 40% of skin area) has been significantly reduced by the use of new fluid plasma compresses. Before the new treatment, the mortality rate for extensive burn patients was about 60%. Using the new compresses, the hospital found that only 42 of 89 patients with extensive burns died. Use a 1% level of significance to test the claim that the mortality rate has dropped. What are...
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia....
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia. Following the old treatment protocol, 32% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 27 develop leukemia within 5 years of MDS diagnosis. Create a 99% confidence interval...
To find out if a new serum will stop leukemia, nine patients are selected who are...
To find out if a new serum will stop leukemia, nine patients are selected who are in an advanced stage of the disease. Five patients receive the treatment and four do not. Survival times, in years, from the moment the experiment begins are WITH TREATMENT 2.1 | 5.3 | 1.4 | 4.6 | 0.9 WITHOUT TREATMENT 1.9 | 0.5 | 2.8 | 3.1 | Use the Wilcoxon rank-sum test statistic at a significance level of 0.05 to determine if the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT