Statistics & Probability G11 Q4

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

• Decision

• Statistics

• Hypothesis

• Probability

What is the statistical method used in making decisions using experimental data?

• Simple analysis

• Analytical testing

• Hypothesis testing

• Experimental testing

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 two-tailed test?

• 𝐻𝑎 = 100

• 𝐻𝑎 ≠ 100

• 𝐻𝑎 > 100

• 𝐻𝑎 < 100

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

• 1.383

• 1.533

• 2.228

• 2.365

Which of the following would be an appropriate null hypothesis?

• The mean of a sample is equal to 75

• The mean of a population is equal to 75

• The mean of a sample is not equal to 75

• The mean of a population is greater than 75

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.

When is a Type II 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.

Which of the following is a Type I error?

• 𝐻0 is true; reject 𝐻0.

• 𝐻0 is false; reject 𝐻0.

• 𝐻0 is true; fail to reject 𝐻0.

• 𝐻0 is false; fail to reject 𝐻0.

Which of the following describes an alternative hypothesis in a left-tailed test?

• 𝐻𝑎 > 100

• 𝐻𝑎 < 100

• 𝐻𝑎 = 100

• 𝐻𝑎 ≠ 100