For the following exercises, use the calculator to conduct the hypothesis test. Remember to use the correct test on the calculator (are you testing a mean or a proportion?). 1. Women athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the University of Colorado, Boulder, is now less than 67%? Use 0.05 as the level of significance. a) State the null (H.) and alternate (HA) hypotheses. b) If the null hypothesis is true, the sample proportion has approximately a Normal distribution with: Mean: Standard Deviation: c) Give the standardized z-score for the data. d) Find the P-value for this significance test and make a decision (reject or not reject Ho)