Question

For the following studies, using the steps of the hypothesis testing process, determine whether you accept or reject the null hypothesis regarding differences between sample scores (X) and population scores (μ).

Answer 1

When performing a hypothesis test, you can determine whether to accept or reject the null hypothesis by following the steps of hypothesis testing and calculating the test statistic and p-value.

Step-by-step explanation:

When performing a hypothesis test to determine whether to accept or reject the null hypothesis regarding differences between sample scores (X) and population scores (μ), the following steps can be used:

1. State an appropriate null hypothesis and an appropriate alternative hypothesis.
2. Define the random variable.
3. Calculate the test statistic.
4. Calculate the p-value.
5. Make a decision based on the p-value and the significance level.
6. Determine the Type I and Type II errors.

For example, in question 61, if the sample standard deviation for science students is $20 and the sample standard deviation for humanities students is $15, we can calculate the test statistic and find the p-value. If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a difference between the spending of science and humanities students.