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A well-known brokerage firm executive claimed that at least 36 % of investors are currently confident...

A well-known brokerage firm executive claimed that at least 36 % of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that out of 142 randomly selected people, 50 of them said they are confident of meeting their goals.

Suppose you are have the following null and alternative hypotheses for a test you are running:

H0:p=0.36
Ha:p>0.36

Calculate the test statistic, rounded to 3 decimal places

Math   Statistics-And-Probability   
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Answer #1

We have for given example,              
Population proportion value is =0.36          
x=50          
              
n=142          
      
Estimate for sample proportion =0.3521          
              
Z test statistic formula for proportion              


=-0.196          
              

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