Question

A hospital director is told that 56% of the emergency room visitors are insured. The director...

A hospital director is told that 56% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is below the expected percentage. A sample of 160 patients found that 80 were insured. Find the value of the test statistic. Round your answer to two decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

= 56% = 0.56

1 - = 1 - 0.56 = 0.44

n = 160

x = 80

Point estimate = sample proportion = = x / n =80/160 = 0.5

Test statistics

z = ( - ) / *(1-) / n

= ( 0.5 - 0.56) / (0.56*0.44) / 160

= -1.53

The value of test statistic is -1.53

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