Answer:
Step-by-step explanation:
Group 1 Information:
sample size : n₁ = 200
individuals with stomach as a side effect x₁ = 45
p₁ = 45 / 200 p₁ = 0,225 then q₁ = 1 - p₁ q₁ = 0,775
Group 2 Information:
sample size : n₂ = 150
individuals with stomach as a side effect x₂ = 33
p₂ = 33/150 p₂ = 0,22 q₂ = 0,78
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
The alternative hypothesis indicates that the test is a one-tail test to the right
Significance level is α = 0,01 ( confidence interval 99%)
From z-table we get z(c) for that α z(c) = 2,32
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √ ( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
EED = √ ( 0,225*0,775)/200 + (0,22*0,78)/150
EED = √ 0,0008718 + 0,001144
EED = 0,045
z(s) = ( 0,225 - 0,22 ) / 0,045
z(s) = 0,005 / 0,045
z(s) = 0,11
Comparing z(s) and z(c)
z(s) < z(c) 0.11 < 2.32
Then z(s) is in the acceptance region. We accept H₀ . We don´t have evidence to support differences between the two groups.
