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.