Math anxiety levels frequency 18 2 29 3 34 4 26 25 b) Let p represent the proportion of all STAT/MATH 1F92 students who have very high math anxiety, meaning they responded with a math anxiety level of 5. Use your summarized results from part a) to find a point estimate for p- c) Find a 98% confidence interval for the proportion of STAT/MATH 1F92 students who have very high math anxiety. d) If more than 10% of students enrolled in the course express feelings of very high math anxiety, then the department plans to offer additional math support workshops next year. Based on your confidence interval from part c), do you recommend that action needs to be taken? Explain. e) Is there evidence to suggest that the proportion of STAT/MATH 1F92 students who have very high math anxiety is greater than 0.10? Use a significance level of a = 0.01. Use the critical value method and show all six steps for hypothesis testing. f) Compare your confidence interval result from part c) with your hypothesis testing result from part e). Are these results consistent with each other? Explain. g) The department is interested in conducting a similar survey next year for all students enrolled in a first-year statistics course. They want to be 95% confident that the estimate of the proportion of students with very high math anxiety is within 3 percentage points of the true proportion. Using this year's survey data as a prior estimate of the proportion, how many students should be surveyed next year