Sampling Distribution of Proportion, Unknown p: Probability 3 (Algo)

Instructions:

Set the number of flips per sample to 30, and choose variable 7.ClickReveal Pto see the population proportion (it should be 0.39), and choose this as the proposed population proportion. ClickSampleso you have numbers to look at. You can ignore the shading on the graph for this question.

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 15/30 or higher(15or moresuccesses) is 0.1475.

a.Use the binomial distribution to calculate the probability of observing exactly 15 successes (a sample proportion of 0.5333).

b.Now, calculate the cumulative probability of observing 16or moresuccesses (a sample proportion of 0.5000or lower).