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Find the p -value for the hypothesis test. A random sample of size 52 is taken....

Find the p -value for the hypothesis test. A random sample of size 52 is taken. The sample has a mean of 425 and a standard deviation of 86. H 0 : µ = 400 H a : µ ≠ 400 The p -value for the hypothesis test is

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solution

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 400

Ha :     400

Test statistic = z

= ( - ) / / n

= (425 -400) / 86 / 52 11.92605422

z= 2.10

P(z > 2.10) = 1 - P(z <2.10 ) = 1- 0.9821=0.0179*2=0.0358

P-value = 0.0358 ( using z table)

orchestra answered 2 years ago
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