152k views
2 votes
In each of the following situations, select true if the hypothesis is correctly stated for testing the problem and false if the hypothesis is not correctly stated.

Ηο: μ = 25, Η₁: μ ≠ 25
o True
o False

1 Answer

5 votes

We can see here that the hypothesis is correctly stated for testing the problem; thus it is true.

The given hypothesis is correctly stated for testing the problem. The null hypothesis (H₀) states that the population mean (μ) is equal to 25, while the alternative hypothesis (H₁) states that the population mean is not equal to 25.

This hypothesis is stated correctly because it includes both a null hypothesis and an alternative hypothesis. The null hypothesis assumes that there is no difference in the population mean, while the alternative hypothesis suggests that there is a difference.

The use of the "not equal to" symbol (≠) in the alternative hypothesis indicates that the researcher is testing for a two-tailed hypothesis, meaning they are interested in detecting any difference in either direction from the hypothesized mean of 25.

User TFD
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.