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Health advocates claim that over 20% of adult Canadians (21 and over) have high cholesterol levels...

Health advocates claim that over 20% of adult Canadians (21 and over) have high cholesterol levels (i.e. over 200 mg/dl). A pilot sample of 30 adult Canadians produced 8 individuals with high cholesterol levels. Is there sufficient evidence to support the health advocates' claim? Test at α = 0.05.

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Answer #1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.2
Alternative Hypothesis, Ha: p > 0.2

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.2667 - 0.2)/sqrt(0.2*(1-0.2)/30)
z = 0.91

P-value Approach
P-value = 0.1814
As P-value >= 0.05, fail to reject null hypothesis.

There is not sufficient evidence to support the health advocates' claim

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