# Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 for the given level of significance. Two-tailed test with test statistic z= -1.94 and = 0.07. P-value = ?

1 answer

###### Question:

Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 for the given level of significance.

Two-tailed test with test statistic z= -1.94 and = 0.07.

P-value = ?

Two-tailed test with test statistic z= -1.94 and = 0.07.

P-value = ?

## Answers

Answer:Reject H0 as the critical region for alpha = 0.07 is z ≤ -1.82 and z≥ 1.82Step-by-step explanation:For the significance level ∝ = 0.07 For a two tailed test we divide it with 2 and get 0.035 When we subtract 0.035 from 1 we get 0.965And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82Now the calculated value of z= -1.94 which is less than ±1.82.Hence reject H0 if z ≤ -1.82 and z≥ 1.82Therefore reject H0.While ∝ =0.07 p- value = 0.06 should be examinedthe p- value is the smallest value of ∝ where we reject H0.Hence at ∝= 0.06 critical region is z ≤ -1.88 and z≥ 1.88At ∝= 0.05 critical region is z ≤ -1.96 and z≥ 1.96So p- value is near 0.06

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