a hospital director is told that 56% of the treated patients are insured. the director wants to test the claim that the percentage of insured patients is not the expected percentage. a sample of 340 patients found that 170 were insured. at the 0.02 level, is there enough evidence to support the director's claim? step 4 of 7 : determine the p-value of the test statistic. round your answer to four decimal places.



Answer :

The p - value is of the test statistics is 0.101939.

Given that:

sample of 340 patient found that 170 were unsecured.

Sample:

A sample is a smaller, more manageable version of a larger group. This is a subset containing the characteristics of the larger population. Samples are used in statistical tests when the population size is too large to include all possible members or observations in the test.

Then,

H0: p = 0.44

H1: p > 0.44

value of test statistic = 2.45

one tailed test

z > 1.282

A one-sided test is a statistical test in which the critical range of the distribution is one-sided, either greater than or less than a certain value, but not both. If the sample to be tested is within the one-sided critical range, the alternative hypothesis is accepted instead of the null hypothesis.

Therefore,  

Reject the Null Hypothesis.

Learn more about test statistics:

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