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In: Statistics and Probability

Find the P - value for the test statistic z=−1.41 for the following null and alternative...

Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses:
H0: The population mean is 50.  
Ha: The population mean is less than 50.  
The P - value is  
(b) Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses:
H0: The population mean is 50.  
Ha: The population mean is not equal to 50.  
The P - value is

Solutions

Expert Solution

Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses:

H0: The population mean is 50.  

Ha: The population mean is less than 50.  

From alternative hypothesis this is a left ( one ) tailed test.

The P - value is = P( Z < -1.41) = 0.0793

(b) Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses:

H0: The population mean is 50.  

Ha: The population mean is not equal to 50.  

From alternative hypothesis this is a two tailed test.

The P - value is = 2* P(Z < -1.41) = 2*0.0793 = 0.1586

orchestra answered 2 years ago
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