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Z test for population proportion

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Please help with the following problems. Give step by step calculations.

Can you can tell the difference between coke and pepsi in a blind taste test? Most people say they can and have a preference for one brand or another. However, research suggests the people can correctly identify a sample of one of these products only 60% of the time. Suppose we investigate this question and select a sample of 15 college students.

a. How many of the 15 students would you expect to correctly identify Coke or Pepsi?
b. What is the probability that exactly 10 students surveyed will correctly identify coke or Pepsi
c. What is the probability at least 10 of the students will correctly identify Coke or Pepsi?

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Solution Summary

The solution provides step by step method for the calculation of test statistic for testing proportion . Formula for the calculation and Interpretations of the results are also included.

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Please see the attachments.

Solutions:

L(x) - f(a) = f'(a) (x - a)

1. f(x) = (1 - x)3
f'(x) = 3 (1 - x)2 * -1
= -3 (1 - x)2
a = 0: ...

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