Doctors Nationally Believe That 72% of a Certain Type of Operation

question 84

Multiple Choice

Doctors nationally believe that 72% of a certain type of operation are successful.In a certain hospital, 53 of these operations were observed, and 63% of them were successful.If , is this hospital's success
Rate different from the national average?

• A)No, because the test value -0.86 is in the noncritical region.
• B)Yes, because the test value -0.86 is in the critical region.
• C)No, because the test value -1.46 is in the noncritical region.
• D)Yes, because the test value -1.46 is in the noncritical region.

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Definitions:

Alpha

In statistics, the threshold probability of wrongly rejecting the null hypothesis, typically set at 0.05.

T-statistic

A ratio computed from the observed sample mean difference divided by the standard error of the mean, used in hypothesis testing.

Critical Values

Critical values are thresholds in statistical hypothesis testing that define the boundary between the region where the null hypothesis is rejected and the region where it is not rejected.

Level of Significance

The probability of rejecting the null hypothesis when it is actually true, used as a criterion for deciding the outcome of a statistical test.