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50 Sample Exarnination Two Section [I<br />

3. A Television Monitoring Group (TMG) claims that at least three out of every <strong>fo</strong>ur<br />

Americans believe that realitv-based television shorvs are untruthful. They tested their<br />

claim by using data from a recent Gallup poll ufiich indicated that in a sample of 1 ,015<br />

Americans, 812 thought the shows were either somewhat or totally untruthful.<br />

(a) Testthe claim of theTMC using a signifieance level of 0.0i. State cleariy your<br />

assumptions and u,hat test of hypothesis you are using. Identifu an appropriate<br />

p-r'alue and interpret vour results ri'itiriir the context of the problenr.<br />

(b) Construct a9SYo confidence interval to estimate the true proportion of Americans<br />

who thinli these shows are essentially untruthful.<br />

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