Sampling Distribution of Proportion, Unknown p: Probability 1 (Algo)

Instructions:

Set the number of flips per sample to 30, and choose variable 9. ClickReveal Pto see the population proportion (it should be 0.43), and choose this as the proposed population proportion. .

The possible sample proportions are multiples of 1/30, such as 0/30, 1/30, 2/30, etc. (from observing 0, 1, 2, etc. heads out of 30 trials, with each trial representing a customer or an order).

The probability of observing a proportion of 10/30 or lower (10or fewer successes) is 0.1888.

a.Use the binomial distribution to calculate the probability of observing exactly 11 successes (a sample proportion of 0.3667).

b.Now, calculate the cumulative probability of observing 11or fewer successes (a sample proportion of 0.3667or lower).