Question: Consider drawing a random sample of size n = 100 of a random variable X that has a Bernoulli distribution with probability of success p

Consider drawing a random sample of size n = 100 of a random variable X that has a Bernoulli distribution with probability of success p = .75.

(a) What is P(p .80)? You may use an approximation to calculate this probability. Why it the approximation valid?

(b) What is P(p .70)? You may use an approximation to calculate this probability

(c) Use any relevant information in your answers to parts (a) and (b) above to calculate the p-value (1-sided) of p = .70 for testing the null hypothesis p = .75 versus the alternative hypothesis p < .75.

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