Sampling Distribution of Proportion, Unknown p: Probability 2 (Algo)

Instructions

Set the number of flips per sample to 30, and choose variable 8. 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 normal distribution approximates the probability of observing a proportion of 10/30 or lower (10or fewer heads) to be 0.3266. (The normal approximation calculates thisasP(x< 10.5).)

a.Use the normal distribution to approximatethe probability of observing11heads.

b.Use your answer to calculate the probability of observing 11or fewer heads.