Question

B. Find the P – values

(B.1) With Ha: p < 0.777, the test statistic is z = -2.45

B.2) With Ha: p > 0.25, the test statistic is z = 2.40

B.3) With Ha: p ≠ 0.707, the test statistic is z = 2.15

Answer 1

Solution -

B1) With Ha: p < 0.777, the test statistic is z = -2.45

The Given test is Left tailed test.

By using standard Normal ' z ' table,

P ( z < - 2.45 ) = 0.0071

P - Value = 0.0071

---------------------------------------------------------------------

B.2) With Ha: p > 0.25, the test statistic is z = 2.40

The Given test is Right tailed test.

By using standard Normal ' z ' table,

P ( z > 2.40 ) = 1 - P ( z < 2.40 )

P ( z > 2.40 ) = 1 - 0.9918

P ( z > 2.40 ) = 0.0082

P - Value = 0.0082

--------------------------------------------------------------------

B.3) With Ha: p ≠ 0.707, the test statistic is z = 2.15

The Given test is two tailed test.

By using standard Normal ' z ' table,

P ( z > 2.15 ) = 1 - P ( z < 2.15 )

P ( z > 2.15 ) = 1 - 0.9842

P ( z > 2.15 ) = 0.0158

for two tailed test,

P- Value = 2 * 0.0158

P- Value = 0.0316