Question

In a study of 807 randomly selected medical malpractice​ lawsuits, it was found that 494 of...

In a study of 807 randomly selected medical malpractice​ lawsuits, it was found that 494 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Homework Answers

Answer #1

Answer:

Here it is the two tailed test .

Null hypothesis H0 : p = 0.5

Alternate hypothesis Ha : p 0.5

n = 807

x = 494

Now,

= x / n

substitute values

= 494 / 807

= 0.61214

consider,

P0 = 0.5

1 - P0 = 1 - 0.5 = 0.5

z = - P0 / [P0 * (1 - P0 ) / n]

= 0.61214 - 0.5 / [(0.5 * 0.5) / 807]

= 6.3713

Test statistic :

P(z > 6.3713) = 1 - P(z < 8.226)

= 1 - 1

P(z > 6.3713) = 0

P-value = 2 * 0 = 0

Significance level = 0.05

By observing we can say that, P-value <

So we conclude that we reject the null hypothesis .And claim is true .

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