1. If level of atorvastatin was independent of incidence of headaches, what would be the expected frequency in the headache and 20 mg cell? Would this cause any concern for a test of independence of these factors? Why? 2. Combine the 20 mg and 40 mg results into one column, then perform a chi-squared hypothesis test at the 1% significance level to evaluate the evidence that the incidence of headaches is dependent on the amount of atorvastatin used.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The cholesterol-reducing drug Lipitor consists of atorvastatin calcium. Results (based on data from the company Parke-Davis) summarising the incidence of headaches as an adverse reaction in clinical tests are given below. We are interested in evaluating the evidence that the incidence of headaches is dependent on the amount of atorvastatin used.

  Placebo Atorvastatin 10 mg Atorvastatin 20 mg Atorvastatin 40 mg Atorvastatin 80 mg
Headache 19 47 6 2 6
No headache 251 816 30 77 88

 

1. If level of atorvastatin was independent of incidence of headaches, what would be the expected frequency in the headache and 20 mg cell? Would this cause any concern for a test of independence of these factors? Why?

2. Combine the 20 mg and 40 mg results into one column, then perform a chi-squared hypothesis test at the 1% significance level to evaluate the evidence that the incidence of headaches is dependent on the amount of atorvastatin used.

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