Question

Researchers are interested in the effectiveness of a new drug therapy for Alzheimer’s. The researchers predict that the new drug therapy will decrease the symptoms of the disease over time. 100 elderly individuals were recruited to take the new drug therapy. The average number of symptoms they displayed was 6. Individuals suffering from Alzheimer’s who did not take the new drug therapy had an average of 9 symptoms with a variance of 4. Test whether the new drug therapy is effective using an α = .05.

Answer 1

P= 0.5 , x=6 and n=100 and p1= x/n= 6/100= 0.06

Given level of significance= 0.05

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

Test statistic

Z = p1-P/sqrt(P*Q/n)

Z= 0.06-0.5/sqrt(0.5*0.5/100)

Z= -0.44/0.05

Z= -8.8

P VALUE= 0.00000

Since P value SMALLER THAN 0.05 THEREFORE SIGNIFICANT.

Decision: REJECT NULL HYPOTHESIS H0.

Conclusion: We have sufficient evidence to conclude that the new drug therapy will decrease the symptoms of the disease over time at 0.05 level of significance.