Question

Use the following information to answer questions 4 through 6.

A clinical trial is conducted to test a new eye treatment, interferon-a, on its efficacy to slow down age-related vision loss. The currently used medicine is found to be effective on 30 percent of all the patients. Scientists believe that interferon-a could have better performance than that. In other words, scientists believe interferon-a will be effective on a larger percentage of patients than the current treatment, and they are able to differentiate between a medicine being “effective” and “not effective.”

4. Select both a null and alternative hypothesis that represent the research question described above. Be careful of notation.

Select one or more:

H_A: p=0.3

H_A: p≥0.3

H_A: p>0.3 --

H₀: p=0.3

H_A: p≠0.3

H₀: p≤0.3 --

H_A: p≤0.3

H₀: p>0.3

-- I believe that the answers for this are H_A: p>0.3 and H₀: p≤0.3 --

5. Oliver takes a random sample of beads and finds that 17 out of the 43 beads sampled are purple. What is the p-value associated with the hypothesis test from Question 4?

Give your answer to 4 decimal places. For help on how to input a numeric answer, please "Instructions for inputting a numeric response."

_______

6. Based on the p-value that you calculated in Question 5, what conclusion can be made about your hypothesis?

Select one:

a. There is enough evidence to suggest that the new treatment is effective on more than 30% of patients.

b. There is enough evidence to suggest that the new treatment is effective on less than 30% of the patients.

c. There is enough evidence to suggest that the new treatment is effective on exactly 30% of the patients.

d. There is not enough evidence to suggest that the new treatment is effective on more than 30% of the patients.

e. There is not enough evidence to suggest that the new treatment is effective on less than 30% of the patients.

f. There is not enough evidence to suggest that the new treatment is effective on exactly 30% of the patients.

g. We cannot make any conclusion based on the p-value in Question 5.

Answer 1