Hypothesis Testing (Day 1)

What does the null hypothesis represent in hypothesis testing?

• A real effect observed

• A significant difference between parameters

• An initial claim to be rejected

• A random variable distribution

What is the purpose of the level of significance in hypothesis testing?

• To identify the rejection region

• To calculate the mean score accurately

• To determine the probability of making a wrong decision

• To establish the critical values

When should a one-tailed test be used in hypothesis testing?

• When the alternative hypothesis contains the symbol <

• When the null hypothesis is two-sided

• When the level of significance is 10%

• When the critical value is negative

What is the rejection region in hypothesis testing?

• The point used to determine the test statistic

• The region where the critical value is located

• The set of values that lead to rejecting the null hypothesis

• The area under the normal curve

How is the critical value determined in hypothesis testing?

• By looking up the value in a table of values

• By using the rejection region formula

• By comparing the test statistic to the null hypothesis

• By calculating the mean score

What is the consequence of a Type I error in hypothesis testing?

• They conclude that the solar panel is effective when it is not actually effective.

• They do not conclude that the solar panel is effective when it is actually effective.

• They do not conclude that the solar panel is effective when it is not actually effective.

• They conclude that the solar panel is effective when it is actually effective.

What would be the consequence of a Type II error in a scenario involving a swimming pool water quality test?

• The owner does not close the pool when it does not need to be closed.

• The owner closes the pool when it does not need to be closed.

• The owner does not close the pool when it needs to be closed.

• The owner closes the pool when it needs to be closed.

In hypothesis testing, 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 false.

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

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

• The mean of a population is equal to 80.

• The mean of a population is greater than 80.

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

• The mean of a sample is equal to 80.

If the computed z-value is 1.915 and the critical value is 1.812, what could be true?

• It lies in the rejection region, hence we fail to reject the null hypothesis.

• It lies in the non-rejection region, hence we fail to reject null hypothesis.

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

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