Hypothesis Testing

1. It is the statistical method used in making decisions using experimental data.

• observation

• simple analysis

• analytical testing

• hypothesis testing

1. What term is being used to describe a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?

• statistic

• decision

• hypothesis

• probability

It is also referred to as a probability of committing an incorrect decision about the null hypothesis.

• level of error

• level of statistic

• level of acceptance

• level of significance

Which of the following would be an appropriate null hypothesis?

• The mean of a sample is equal to 80.

• The mean of a population is equal to 80

• The mean of a population is not equal to 80.

• The mean of a population is greater than 80.

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

• 𝐻₀: 𝜇 = 𝜇₀

• 𝐻₀: 𝜇 ≠ 𝜇₀

• 𝐻₀: 𝜇 ≥ 𝜇₀

• 𝜇 ≤ 𝜇₀

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

• 𝐻_𝑎: 𝜇 < 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻_𝑎: 𝜇 > 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻_𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻_𝑎: 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%

• 10%

• 2%

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, 𝐻_𝑜 must be rejected.

• It lies in the rejection region, hence we fail to reject𝐻_𝑜.

• It lies in the non-rejection region, 𝐻_𝑜 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

If the computed z-value is 1.286 and the critical value is 1.383, which of the following statements could be true?

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

• It lies in the rejection region, hence we fail to reject𝐻_𝑜.

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

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