Null and Alternative Hypothesis Practice

Front

What is the null hypothesis (H0)?

Back

The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.

Front

What is the alternative hypothesis (Ha)?

Back

The alternative hypothesis (Ha) is a statement that indicates the presence of an effect or a difference, and it is what the researcher aims to support.

Front

In hypothesis testing, what does it mean if the alternative hypothesis is stated as Ha: μ > 12.2?

Back

It means that the researcher believes the true mean (μ) is greater than 12.2 ounces.

Front

Is the statement 'the alternative hypothesis is always a statement of equality' true or false?

Back

False. The alternative hypothesis is not a statement of equality; it often represents an inequality.

Front

What is the significance of the null hypothesis in statistical testing?

Back

The null hypothesis provides a baseline or reference point against which the alternative hypothesis is tested.

Front

What does it mean if a null hypothesis is rejected?

Back

If a null hypothesis is rejected, it suggests that there is sufficient evidence to support the alternative hypothesis.

Front

What is the relationship between the null and alternative hypotheses?

Back

The null and alternative hypotheses are mutually exclusive; if one is true, the other must be false.

Front

In the context of Dunkin' Donuts claiming that 75% of Americans prefer it over Starbucks, what is the null hypothesis?

Back

The null hypothesis is that the proportion of Americans who prefer Dunkin' over Starbucks is equal to 0.75 (p = 0.75).

Front

What does H0: μ = 18.4 and Ha: μ ≠ 18.4 represent in hypothesis testing?

Back

H0: μ = 18.4 indicates that the average weight of the bag is 18.4 lbs, while Ha: μ ≠ 18.4 indicates that the average weight is different from 18.4 lbs.

Front

Can the null and alternative hypotheses be the same?

Back

No, the null and alternative hypotheses cannot be the same; they represent opposing statements.