Hypothesis Testing One Sample

Suppose you are using α = 0.05 to test the claim that μ > 14 using a P-value. You are given the sample statistics n = 50, x = 14.3, and s = 1.2. Find the P-value.

• 0.0384

• 0.1321

• 0.0128

• 0.0012

Given H0: μ = 25, Ha: μ ≠ 25, and P = 0.034. Do you reject or fail to reject H0 at the 0.01 level of significance?

• fail to reject H0

• reject H0

• not sufficient information to decide

Find the critical value for a right-tailed test with α = 0.01 and n = 75.

• 2.33

• 2.575

• 1.645

• 1.96

You wish to test the claim that μ > 32 at a level of significance of α = 0.05 and are given sample statistics n = 50, x = 32.3, and s = 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.

• 1.77

• 2.31

• 0.98

• 3.11

You wish to test the claim that μ = 1240 at a level of significance of α = 0.01 and are given sample statistics n = 35, x = 1210 and s = 82. Compute the value of the standardized test statistic. Round your answer to two decimal places.

• -2.16

• -3.82

• -4.67

• -5.18

Suppose you want to test the claim that μ ≠ 3.5. Given a sample size of n = 47 and a level of significance of α = 0.10, when should you reject H0 ?

• Reject H0 if the standardized test statistic is greater than 1.645 or less than -1.645.

• Reject H0 if the standardized test statistic is greater than 2.575 or less than -2.575.

• Reject H0 if the standardized test statistic is greater than 2.33 or less than -2.33

• Reject H0 if the standardized test statistic is greater than 1.96 or less than -1.96

Suppose you are using α = 0.01 to test the claim that μ = 1620 using a P-value. You are given the sample statistics n = 35, x = 1590, and s = 82. Find the P-value.

• 0.0308

• 0.0154

• 0.3169

• 0.0077

Given Ha: μ > 85 and P = 0.007. Do you reject or fail to reject H0 at the 0.01 level of significance?

• reject H0

• fail to reject H0

• not sufficient information to decide

Find the critical value for a two-tailed test with α = 0.07 and n= 36.

• ±1.81

• ±2.33

• ±2.575

• ±1.96

Suppose you want to test the claim that μ ≤ 25.6. Given a sample size of n = 53 and a level of significance of α = 0.01, when should you reject H0?

• Reject H0 if the standardized test statistic is greater than 2.33.

• Reject H0 if the standardized test statistic is greater than 1.96.

• Reject H0 if the standardized test statistic is greater than 1.645.

• Reject H0 if the standardized test statistic is greater than 2.575.