True or False

The null hypothesis is stated in terms of the population, even though the data come from a sample.

the answer to this would be true

true

True

The null hypothesis is a statement about a population parameter. It is stated and tested using data from a sample. The purpose of hypothesis testing is to make an inference about the population parameter based on the sample data. By stating the null hypothesis in terms of the population, it allows us to compare the sample data to what is expected to occur in the population if the null hypothesis is true.

True.

The null hypothesis is a statement about the value of a population parameter, such as the mean or proportion. It is typically denoted as H0 and is formulated before collecting the data. The purpose of the null hypothesis is to provide a claim to be tested and potentially rejected.

While the data used for hypothesis testing is collected from a sample rather than the entire population, the null hypothesis is still stated in terms of the population. This is because the goal of hypothesis testing is to make inferences about the population based on the sample data.

For example, if you are conducting a hypothesis test to compare the means of two groups, the null hypothesis might state that the population means are equal. Even though you are collecting data from a sample of individuals in each group, the null hypothesis is formulated in terms of the population means.