A hospital director is told that 79% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is not the expected percentage. A sample of 260 patients found that 195 were insured. At the 0.05 level, is there enough evidence to support the director's claim

Respuesta :

The probability computed shows that there ia enough evidence to support the director's claim.

How to illustrate the probability?

From the information given, the hospital director is told that 79% of the emergency room visitors are insured.

p = 0.79

q = 1 - 0.79 = 0.21

The computation of the z value is -1.91. This is a two tailed test.

The p-value will be:

= P(Z < -1.91)

= 0.0562 under the distribution table.

In this case, the p value is less than 0.10, therefore, we reject the null hypothesis.

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