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A hospital director is told that 54% of the treated patients are insured. The director wants...

A hospital director is told that 54% of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is below the expected percentage. A sample of 380 patients found that 190 were insured. Find the value of the test statistic. Round your answer to two decimal places.

Math   Statistics-And-Probability   
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Answer #1


Total number of sample (n) = 190
number of favourable events (X) = 380

We are interested in testing the hypothesis

Decision Rule: Reject the null hypothesis if the test statistic value is less than the critical value -1.6448536269514722 or greater than the critical value 1.6448536269514722
The statistic value, 40.3788 is greater than the critical values -1.6448536269514722 .
Therefore, we fail to reject the null hypothesis.

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