BIOSTATISTICS CASE STUDY:Tests of Association for Categorical DataTable 1 Characteristics of 399 patients with PTB andunivariate analyses of potential predictors ofsuccessful treatmentSuccessfulCharacteristicsPatients treatmentn (%)n(96)Pvalue*Sex0.392Male293 (73.4)106 (26.6)198 (67.6)77 (72.6)FemalePatients with comorbidities0.018No comorbidityWith comorbiditiesUnknown143 (35.9)255 (64.1)109 (76.2)165 (64.7)1 (100)CXR0.015CavitationsNo cavitationUnknown127 (31.9)271 (68.1)98 (77.2)176 (64.9)1 (100)Previous TB treatment0.815YesNoUnknown22 (5.8) 16 (72.7)360 (94.2) 246 (68.3)12 (70.6)17DOT0.002YesNoUnknown250 (63.1) 186 (74.43 (100)146 (36.9)86 (58.9)Diagnostic and treatingphysicians

Question

According to table 1, What is the 95% confidence interval for the true proportion with successful treatment?
Upper Limit?
Lower Limit?

Step 1

Given that total patients = 399

Total successful treatments = 275

proportion of total successful treatments = 275/399 = 0.689

Step 2

The confidence interval for populaiton proportion is given by the formula mentioned below

Here we know p^ = 0.689 and n = 399.

Step 3

The Z critical score for 95% confidence interval is given by the following Z table.

The level of significance = 1- 0.95 = 0.05.

We refer to hal...

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