Problem 7

  1. No, need more samples / data to convince me

  2. 0.5^3 = 12.5%

  3. no, still need more data!

  4. 6 times would convince me. Thats only a 1.3 % chance, very convincing!

Problem 11

  1. H0 = 0.3 Ha > 0.3

  2. We must assume that the sample of 80 we collected was random, and that 80 people is less than the total population of customers

  3. N(0.3,sqrt(0.3*0.7)/80)

Problem 17

  1. H0: p=0.63

Ha: p>0.63

  1. p = 0.057

  2. Yes, 5% is a low enough chance that this program probably works. They seem to consistantly be above the mean and the p value is low enough to reject the null.