Define the population parameter, the appropriate test statistic formula, and if the hypothesis test is left-tailed, right-tailed, or two-tailed. Be sure to set up your hypotheses, too. How did you decide on constructing these hypotheses? What level of significance would you use? Why?

The population parameters that you should use for this discussion are:

: the population mean

or

p: the population proportion

Be sure to include numerical values for your variables. Additionally, identify the Type I and Type II Errors that could occur with your decisionmaking process.

Can you please verify my work? Please correct anything that is wrong. Here is what I have written

The example I will be using is about taking pre-workout for the gym and if it results in higher lifts. Since there are a wide variety of workouts I will be focusing on dumbbell press. I will be testing the percentage of men that take pre-workout before working out and those that don't.

H0: No more than 15% of lifters see an increase in weight pushed. 15%

Ha: More than 30% of lifters see an increase in weight pushed. > 30%

To conduct this hypothesis, I would take 100 men, who all regularly workout. I will conduct a survey amongst these active people on whether or not they take pre-workout before their workouts. This is a right-tailed (upper) test. In this test I will use normal distribution since my sample size is greater than 30. For the type I error, I would choose a .05 level of significance, as I am accepting that there is a 5% chance I am wrong if I reject the null hypothesis. Type I error would occur if less than 15% of lifters see an increase and I was to reject that hypothesis. Type II error would occur if it was proven that more than 30% of those lifters see an increase, but I was to accept the null hypothesis.

Using the sample size of 100 lifters, 30 of them say they see an increase in weight, with a 95% confidence interval and .05 significance, we will come to the conclusion to reject the null hypothesis.