It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 206 patients using diltiazem exercised regularly and only 17 had headaches, would this indicate a reduction in the population proportion of patients having headaches
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.
This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 11% of patients using the drug. It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 206 patients using diltiazem exercised regularly and only 17 had headaches, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance.
State the null hypothesis
(b) What sampling distribution will you use?
and nq
What is the value of the sample test statistic? (Round your answers to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answers to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
(e) Interpret your conclusion in the context of the application.
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