The drug Lipitor is meant to reduce total cholesterol and LDL cholesterol. In clinical trials, 19 out Of 863 patients ta

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The drug Lipitor is meant to reduce total cholesterol and LDL
cholesterol. In clinical trials, 19 out Of 863 patients taking 10mg
of Lipitor daily complained of flulike symptoms. Suppose that it is
known that 1.9% of patients taking competing drugs complain of
flulike symptoms. Assume the patients in the trials are randomly
selected and independent. Is there evidence to conclude that more
than 1.9% of Lipitor users experience flulike symptoms at the 0.01
level of significance?
Step 0: Verify assumptions
1. Is this a sample random sample? (Y/N)
2. Is npα (1–pα) ≥ 10? (Y/N)
3. Is n ≤ 0.05N? (Y/N)
Step 1: Parameter of interest
Ho:
p( ) versus H1:
p( )
Step 2: Test statistic
Sample proportion = ( ) Round to four decimals and use to find
test statistic
Za = ( ) Round to four decimals
Step 3: Classical approach
α = ( ), Zα = ( ) Round to three decimals
Does the test statistic lie in the rejection region? (Y/N)
p-value = ( ) Round to four decimals
What is the relationship between p-value and α? p (>, =,
<) α
Step 5: Conclusion
Is there sufficient evidence to conclude that more than 1.9% of
Lipitor users experience flulike symptoms at the 0.01 level
of significance?