Question

Create a null hypothesis and alternative hypothesis for a drug company that claimed frequency of headaches were decreased in over 50% of migraine sufferers that participated in a study for a new migraine medication. Describe the variable that would be tested and what would be your guess of the value of that variable. Then include how the result, if the null were rejected or not, might change your conclusions or actions in some way.

Answer 1

(i)

H0: Null Hypothesis: P 0.50

HA: Alternative Hypothesis: P > 0.50 (Claim).

where P refers to Population proportion of migraine sufferers

(ii)

variable that would be tested: Proportion of migraine sufferers

(iii)

Guess of that value = 0.50

(iv)

Step 1:   Calculate

p = Sample proportion of migraine sufferers = x/n,

where x = number of migraine sufferers

         n = number of participants

Step 2:

Calculate

SE =

where

P = Population proportion

Q = 1 - P

Step 3:

Calculate test statistic:
Z = (p - P)/SE

Step 4:

Decide significance level

Step 5:
From Table, obtain the critical value of Z.

Step 6:

If the calculated value of Z is less than critical value of Z, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that the proportion migraine sufferers were decreased in over 50% of migraine sufferers who participated in a study

If the calculated value of Z is greater than critical value of Z, the difference is significant. Reject null hypothesis.

Conclusion:
The data support the claim that the proportion migraine sufferers were decreased in over 50% of migraine sufferers who participated in a study