Given the oft-cited statistic that 66.7% of the American public is overweight or obese, you are interested in comparing college students BMI level to the general population. Assuming that the general population has a BMI of (μ) = 27.5 using α level of .05, you hypothesize that college students will have a lower BMI than the general population. State the null and alternative hypothesis and the critical value. Conduct a single-sample t-test based on the following data. Provide an approximate p-value and your conclusion. Also, what would be the critical value if this was a two-tailed test and what would be your conclusion regarding reject/fail to reject the null hypothesis? Given this, provide a 95% confidence interval (for the single sample t-test we’ll do the CI around the sample mean, though you can also do it around the difference between the sample mean and population mean). Further, what shape does the distribution of scores take? What is your conclusion? BMI 24.00 28.00 22.00 28.00 24.00 21.00 23.00 32.00 25.00 23.00 22.00 21.00 30.00 21.00 22.00