Module 10 Practice Questions

Front

What are the null and alternative hypotheses for testing if a car's mpg is overrated?

Back

Ho: µ = 47; Ha: µ ≠ 47

Front

What are the null and alternative hypotheses for a car claiming better than 26 mpg?

Back

Ho: µ = 26; Ha: µ > 26

Front

What are the null and alternative hypotheses for the percentage of students with debt increasing from 68%?

Back

Ho: µ = 68; Ha: µ > 68

Front

What does a smaller p-value indicate in hypothesis testing?

Back

The smaller the p-value, the more evidence the data provide against the null hypothesis and in favor of the alternative hypothesis.

Front

What is the definition of a null hypothesis?

Back

The null hypothesis (Ho) is a statement that there is no effect or no difference, and it serves as a starting point for statistical testing.

Front

What is the definition of an alternative hypothesis?

Back

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

Front

What is a p-value in hypothesis testing?

Back

A p-value is the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.

Front

What does it mean if the p-value is less than the significance level (α)?

Back

If the p-value is less than α, we reject the null hypothesis, indicating that there is sufficient evidence to support the alternative hypothesis.

Front

What is the significance level (α) in hypothesis testing?

Back

The significance level (α) is the threshold for determining whether to reject the null hypothesis, commonly set at 0.05.

Front

What is a Type I error in hypothesis testing?

Back

A Type I error occurs when the null hypothesis is true but is incorrectly rejected.