SOLUTION: Suppose we want to test null hypothesis H0:&#956; =400 against H1:&#956; <400. The test statistic is calculated as -1.23 and two-tailed critical value is 1.96. The appropriate p-va

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Question 287179: Suppose we want to test null hypothesis H0:μ =400 against H1:μ <400. The test statistic is calculated as -1.23 and two-tailed critical value is 1.96. The appropriate p-value will be?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose we want to test null hypothesis H0:μ =400 against H1:μ <400. The test statistic is calculated as -1.23 and two-tailed critical value is 1.96. The appropriate p-value will be?
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Comment: With H1: u <400 you do not have a two-tailed test; you have
a left tailed test. The p-value would be the area to the left of
the test statistic.
P(z< -1.23) = normalcdf(-100,-1.23) = 0.1093
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I used a TI calculator.
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The problem would require a two-tailed test if H1 was "u is not equal
to 400". In that case the p-value would be 2*P(z<1.23) = 0.2187
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Cheers,
Stan H.