I'm having trouble with part b. I don't know how to get the lower and upper bounds.

2212-MATH-1308-512-ELEM STATISTICAL ANALYSIS Carla Blow & | 05/04/21 3:26 PM Homework: Technology Assignment 3 (Optional Ch 8-10) Save Score: 0 of 1 pt 11 of 15 (11 complete) HW Score: 71.43%, 10.71 of 15 pt 10.2.35-T Question Help + A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 41 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho: P = Po versus H1 : p # Po for Po = 0.30, 0.31, 0.32, ..., 0.50, 0.51, 0.52 at the a = 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of Po represent? Do not reject the null hypothesis for the values of Po between 0.32 and 0.50 , inclusively. (Type integers or decimals as needed.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Brand A. The lower bound is The upper bound is (Round to three decimal places as needed.)