Review (Population Mean)

Front

What is the sample proportion (p^) in a study where 280 out of 500 students prefer online learning?

Back

The sample proportion (p^) is calculated as the number of students preferring online learning divided by the total number of students: p^ = 280/500 = 0.56.

Front

What should be the decision if the test statistic does not fall within the rejection region?

Back

Fail to reject the null hypothesis.

Front

What conclusion should be drawn if the test statistic falls within the rejection region?

Back

Reject the null hypothesis.

Front

What are the null and alternative hypotheses if a survey claims that 60% of customers prefer a new product and a company believes the proportion is actually lower?

Back

Null hypothesis (H₀): p = 0.60 and Alternative hypothesis (H₁): p < 0.60.

Front

What type of hypothesis test is conducted if a researcher is testing whether the proportion of people who prefer a certain brand is different from 50%?

Back

This is a two-tailed test.

Front

Define the term 'null hypothesis'.

Back

The null hypothesis is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.

Front

Define the term 'alternative hypothesis'.

Back

The alternative hypothesis is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.

Front

What is a rejection region in hypothesis testing?

Back

The rejection region is the range of values for the test statistic that leads to the rejection of the null hypothesis.

Front

What does it mean to 'fail to reject the null hypothesis'?

Back

It means that there is not enough evidence to support the alternative hypothesis, and the null hypothesis remains a plausible explanation.

Front

What is a one-tailed test?

Back

A one-tailed test is a hypothesis test that evaluates the direction of the effect, either greater than or less than a certain value.