Answer: We concluded that the proportion of people with elevated cholesterol levels differs between men and women.
Step-by-step explanation:
Since we have given that
Hypothesis:
[tex]H_0:p_1=p_2\\\\H_a:p_1\neq p_2[/tex]
in a sample of 244 men, 73 had elevated total cholesterol level.
n₁ = 244
x₁ = 73
So, [tex]p_1=\dfrac{x_1}{n_1}=\dfrac{73}{244}=0.299[/tex]
n₂ = 232
x₂ =44
So, [tex]p_2=\dfrac{44}{232}=0.189[/tex]
At 0.05 level of significance, z = 1.96 as it is two tail test.
So, test statistic value would be
[tex]z=\dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}}\\\\z=\dfrac{0.299-0.189}{\sqrt{\dfrac{0.299\times 0.701}{100}+\dfrac{0.189\times 0.811}{100}}}\\\\z=1.83[/tex]
Since, 1.96>1.83
Hence, we will reject the null hypothesis.
Therefore, We concluded that the proportion of people with elevated cholesterol levels differs between men and women.
