The drug Lipitor is meant to reduce cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Suppose that it is known that 1.9% patients taking competing drugs complain of flulike symptoms. (a) Determine the sample proportion of patients taking 10 mg of Lipitor daily complained of flulike symptoms. (b) Suppose that we want to know whether the evidence suggests more than 1.9% of Lipitor users experience flu-like symptoms as a side effect. Write down the null and alternative hypotheses. (c) Check whether the conditions for hypothesis testing using the P-value approach are met. (d) Determine the P-value for this hypothesis test, and draw a normal curve with area representing the P-value shaded. (e) Interpret the P-value.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The drug Lipitor is meant to reduce cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Suppose that it is known that 1.9% patients taking competing drugs complain of flulike symptoms.
(a) Determine the sample proportion of patients taking 10 mg of Lipitor daily complained of flulike symptoms.
(b) Suppose that we want to know whether the evidence suggests more than 1.9% of Lipitor users experience flu-like symptoms as a side effect. Write down the null and alternative hypotheses.
(c) Check whether the conditions for hypothesis testing using the P-value approach are met.
(d) Determine the P-value for this hypothesis test, and draw a normal curve with area representing the P-value shaded.
(e) Interpret the P-value.
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