Question

1) Determine whether the statement is true or false.

A hypothesis is an assumption about a population parameter such as a mean or a proportion.

2) Determine whether the statement is true or false.

The null​ hypothesis, denoted by H0​, represents the status quo and involves stating the belief that the population parameter ​is, ≤​, =​, ≥ a specific value.

3) Determine whether the statement is true or false.

The alternative​ hypothesis, denoted by H1​, represents the opposite of the null hypothesis and is believed to be true if the null hypothesis is found to be false.

4) Determine whether the statement is true or false.

The hypothesis statement​ H: μ =25 is an example of an alternative hypothesis.

5) Determine whether the statement is true or false.

The hypothesis statement​ H: x (x bar) =100 is an example of a null hypothesis.

6) Determine whether the statement is true or false.

The hypothesis statement​ H: μ< 60 is an example of an alternative hypothesis.

7) Determine whether the statement is true or false.

The hypothesis statement H0​: μ=90 is an example of a​ one-tail hypothesis test.

8) Determine whether the statement is true or false.

For a given sample​ size, reducing the value of α will result in an decrease in the value of β.

Answer 1

1. False

Because hypothesis is any statement about population not only about population parameters.

2. False

I chi-square test for association, we set null hypothesis that variables are independent. We don't use any symbol like ≤​, =​, ≥

3. True

4. False

This is null hypothesis.

5. True

6. True

7. False

One tailed hypothesis contain inequality symbols (< , >)

8. False

is inversely proportional to   , it means if decreases,   increases.