Question

During a clinical trial on seasonal allergy, a pharmaceutical company obtains the following data about the undesirable effects of the type of medication administered to patients. (a) What kind of chi-square test would be most appropriate to analyse these data – goodness of fit or homogeneity (independence)? Explain. (b) Using the appropriate chi-square tests with a 5% significance level, determine if the undesirable effects to patients is independent to the types of medication taken. i. Using the appropriate Minitab report. ii. Using the Chi-square critical value Medication Undesirable effects Seldane-D | Pseudoephedrine Placebo Insomnia 77 12 97 65 Total 186 157 Headache 49 Somnolence 27 14 63 Total 189 140 406

Answer 1

Sol Giiven data, a tlese we ol use ch 59uase test tor the to analy 3e independence Cf attoibutes data by Let us Consides to the patients to The efects undesioable is independen tto the ype of medication taken the undestoable effects to the patients 's to the ype Of medication laken dependent Minilab Stat> tables Chi Sg4ase -lest fos association have we Cffects Columns Wook sheet Ondesioable Rows: Columns placebo A Seldane D pseudoephe dsine 186 Insomig 64.14 35.28 6.59 5.358 2.519 -252 Headache 49 65 43 157 54.14 29.78 73.01

O. 895 O.488 5.873 Sompolene 14 23 63 29-33 21-79 11.95 8.456 O-185 2:746 189 All 140 Cell Contert5 Count Expected Count to chi-59uae Contoibution 31.83a Peoson Chi-S9uae DF 4 Pvalue O-0000 Since the P value less than O.05 So we and Conclude n411 hypothesis deject the undesioable efect s to the patients Of medicat5 on that the to the type dependent laken value s 9.49 f6om the cotical chi- 5q4ase tale the then the Coitcal Calculated a 15 deales Since the Veject So we Chi-Square Fa) value Conclude that the nu hypothesis and to the patientS is type of medicaton taken effects undesioable to the dependent