Question

15. Calculate the pp-value for each of the given hypothesis test scenarios below. Round pp-values to four decimal places.

• Find the p-value for a left-tailed test of hypothesis for a mean when the test statistic has been calculated as -2.08. Assume the population standard deviation is known.
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• p-value=
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• Find the p-value for a right-tailed test of hypothesis for a mean when the test statistic has been calculated as 1.26. Assume the population standard deviation is known.
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• p-value=
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• Find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as 0.42.
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• p-value=
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• Find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as -1.46.
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• p-value=

Answer 1

Solution :-

Given :

test Stat = Z= - 2.08 ( Left tailed test )

By Using Standard Normal table,

P ( z < - 2.08 ) = 0.0188

P - Value = 0.0188

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Given :

test Stat = Z= 1.26 ( Right tailed test )

P ( z > 1.26 ) =1 - P ( z < 1.26 )

By Using Standard Normal table,

P ( z > 1.26 ) = 1 - 0.8962

P ( z > 1.26 ) = 0.1038

P - Value = 0.1038

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Given :

Test stat = z = 0.42 ( Two tailed test )

P ( z > 0.42 ) =1 - P ( z < 0.42 )

By Using Standard Normal table,

P ( z > 0.42 ) = 1 - 0.66276

P ( z > 0.42 ) = 0.33724

For two tailed test

P - Value = 2 * 0.33724

P - Value = 0.6745

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Given :

Test stat = z = -1.46 ( Two tailed test )

By Using Standard Normal table,

P ( z < - 1.46 ) = 0.07215

For two tailed test

P - Value = 2 * 0.07215

P - Value = 0.1443