Question

In: Statistics and Probability

A hospital director is told that 57% of the emergency room visitors are insured. The director...

A hospital director is told that 57% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is less than the expected percentage. A sample of 220 patients found that 110 were insured. Determine the P-value of the test statistic. Round your answer to four decimal places.

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Expert Solution

Null hypothesis  

                  
                      
Alternative hypothesis      

               
                      
We have for given example,                      
Population proportion value is =0.57                  
x=110                  
                      
n=220                  
Level of significance =   0.05                  
Estimate for sample proportion =   
                      
Z test statistic formula for proportion


=-2.097      

P value is = 0.0180..........................by using Z table or by using Excel command NORMSDIST(-2.097)


                      


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