How do I solve this?

Math it's appreciated. (picture provided)

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?

The probability of drawing a heart from a standard deck of cards is .25. you record the card you draw and return the card before shuffling to ensure a binomial distribution. if you do this 20 times what is the probability that you will draw a heart 7 times? a. 0.888 b. 0.001 c. 0.112 d. 0.473