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In: Statistics and Probability

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test....

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test.

Upper H 0H0​: p equals=0.7

versus

Upper H1​: pgreater than>0.7

nequals=200

xequals=145

alpha equals=0.01

Solutions

Expert Solution

Null hypothesis  
H0: p = 0.7          
              
Alternative hypothesis
H1: p > 0.7              
              
We have for given example,              
Population proportion value is =0.7          
x=145          
              
n=200          
Level of significance =   0.01          
Estimate for sample proportion = 0.725          
              
Z test statistic formula for proportion

P value is 0.2201 .....................by using Excel command 1-NORMSDIST(0.772) or by using Z table

P value is 0.2201 > 0.01

Therefore, we fail to reject H0.

orchestra answered 2 years ago
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