Understanding Hypothesis

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

• Observation

• simple analysis

• analytical testing

• hypothesis testing

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 hypothesis

• level of confidence

• 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

• 𝐻₀: 𝜇 ≤ 𝜇₀

Which of the following describes an alternative hypothesis using 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%

• 3%

• 5%

• 10%

Which of the following would be an appropriate alternative hypothesis for one-tailed test?

• 𝐻𝑎: 𝜇 = 85  

• B. 𝐻𝑎: 𝜇 ≥ 85

• C. 𝐻𝑎: 𝜇 ≥ 85

• D. 𝐻𝑎: 𝜇 < 85

In a one-tailed test, in which critical values below will the computed z of 2.312 falls in the acceptance region?

• 1.383

• 1.533

• 2.228

• 2.354

When is a Type I error committed?

• We reject a null hypothesis that is true.

• We reject a null hypothesis that is false.

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

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