Question

Question 13

A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported “fast relief from headache pain.” Of 200 individuals treated with the new formula, 128 said they got “fast relief.” At the 0.05 level, What is the calculated value of the pooled estimate of the population proportion? (Specify your answer to the 3rd decimal.)

13.b.

A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported “fast relief from headache pain.” Of 200 individuals treated with the new formula, 128 said they got “fast relief.” At the 0.05 level, What is the calculated value of the test statistic? (Specify your answer to the 2nd decimal.)

13.c

. A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported “fast relief from headache pain.” Of 200 individuals treated with the new formula, 128 said they got “fast relief.” At the 0.05 level, What is your conclusion based on calculated value of test statistic and critical value?

Reject H0

Do not reject H0

Answer 1

13 a,b) pooled estimate of the population proportion is

p=- np. + n2P2 n + n2 (250)(0.52) + (200)(0.64) 2=0.573 250 + 200 P. - P2 0.52 -0.64 = -2.557 10.573(1 – 0.573)(+ The test statistic is: Vp-Pln, *n, 250 200

c)

For a left‑tail test at the 0.05 significance level,

the critical value is z = ‑1.645.

The decision rule is: "Reject H0 if the calculated z < ‑1.645, otherwise do not reject."

The calculated test statistic falls in the rejection region, so reject H₀.