For the hypothesis test against and variance known, calculate the P-value for the following test statistic: . Round your answer to three decimal places (e.g. 98.765). P-value

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Complete Question

For the hypothesis [tex]H_o : \mu = 4[/tex] test against [tex]H_a : \mu < 4[/tex]and variance known, calculate the P-value for the following test statistic  [tex]z_o=1.645[/tex].

Round your answer to three decimal places (e.g. 98.765). P-value

Answer:

The p-value is  [tex]p-value = 0.05[/tex]

Step-by-step explanation:

From the question we are told that

   The test statistics is [tex]z_o=1.645[/tex]

Generally from the z -table the probability of [tex](Z < 1.645)[/tex] is

   [tex]p-value = P(Z < 1.645 )= 0.05[/tex]

=>  [tex]p-value = 0.05[/tex]