A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is dependent of the level of the skier. (Use a significance level of 0.05.) U.S. Ski Area Beginner Intermediate Advanced Tahoe Utah -21 Colorado Part (a) State the null hypothesis. O Ski area is dependent on the level of the skier. O Ski area is independent of the level of the skier. Part ( b ) State the alternative hypothesis . O Ski area is independent of the level of the skier. O Ski area is dependent on the level of the skier . Part ( c ) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) State the distribution to use for the test. O t2 O t4 Part (e) What is the test statistic? (Round your answer to two decimal places.) Part (1) What is the p-value? (Round your answer to four decimal places. Explain what the p-value means for this problem. O If Ho is true, then there is a chance equal to the p-val or less than the calculated value. O If Ho is true, then there is a ch or greater than the calculated value. O If Ho is false, then there is a ch to or less than the calculated value. If Ho is false, then there is a chance the test statistic will be equal to or greater than the calculated value. Part (9) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. /2(p-value) 1/2(p-valuey 1/2(p-value) 1/2(p-value) - x p-value p-value Part (h ) Indicate the correct decision ('reject or "do not reject" the null hypothesis) and write the appropriate conclusion . (1) Alpha: a = (i) Decision: O reject the null hypothesis O do not reject the null hypothesis (i) Reason for decision: O Since a p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a