ONLINE RECITATION STAT

It is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable

• Decision

• Statistics

• Probability

• Hypothesis

It is also the probability of committing an incorrect decision about the null hypothesis.

• Level of error

• Level of hypothesis

• Level of acceptance

• Level of significance

Which of the following describes an alternative hypothesis using a two-tailed test?

• 𝐻𝑎= 100

• 𝐻𝑎≠ 100

• 𝐻𝑎 > 100

• 𝐻𝑎 < 100

In a one-tailed test, in which the critical value listed below will the computed z of 2.313 fall in the acceptance region?

• 1.383

• 1.533

• 2.228

• 2.365

When is a Type I error committed?

• We reject a null hypothesis that is false

• We reject a null hypothesis that is true

• We fail to reject a null hypothesis that is true

• We fail to reject a null hypothesis that is false.

If the computed z-value is 1.915 and the critical value is 1.812, which of the following statements could be true?

• It lies in the rejection region, 𝐻𝑜 must be rejected.

• It lies in the rejection region, hence we fail to reject 𝐻𝑜

• It lies in the non-rejection region, 𝐻𝑜 must be rejected.

• It lies in the non-rejection region, hence we fail to reject𝐻𝑜

Using a left-tailed test, which of the following value of z will not fall in the rejection region where the critical value is – 1.638?

• – 1.637

• – 1.639

• – 1.641

• – 1.706

When is a Type II error committed?

• reject a null hypothesis that is true.

• reject a null hypothesis that is false

• fail to reject a null hypothesis that is true

• fail to reject a null hypothesis that is false.

Which of the following describes an alternative hypothesis using a two-tailed test?

• 𝐻𝑎: 𝜇 < 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎: 𝜇 > 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎 : 𝜇 = 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

Which of the following must be used as the significance level if we want a lower possibility of correct decision?

• 1%

• 5%

• 2%

• 10%