A coin manufacturer claims that he has produced a biased coin with P(H) = 0.4 and P(T) = 0.6 where P(H) denotes the probability of the coin landing on heads and P(T) denotes the probability of the coin landing on tails. Brad takes this coin and tosses it 10 times. He obtains heads on the first 8 tosses and tails on the last two tosses. He decides to do a hypothesis test to see if there is enough evidence to reject the manufacturer’s claim. Which one of the following statements should he adopt as his null hypothesis? 1) P(H) = 0.4 2) P(H) = 0.6 3) P(H) = 0.8 4) P(H) = 0.2 5) P(H) = 0.5

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A coin manufacturer claims that he has produced a biased coin with P(H) = 0.4 and P(T) = 0.6 where P(H) denotes the probability of the coin landing on heads and P(T) denotes the probability of the coin landing on tails. Brad takes this coin and tosses it 10 times. He obtains heads on the first 8 tosses and tails on the last two tosses. He decides to do a hypothesis test to see if there is enough evidence to reject the manufacturer’s claim. Which one of the following statements should he adopt as his null hypothesis?

1) P(H) = 0.4

2) P(H) = 0.6

3) P(H) = 0.8

4) P(H) = 0.2

5) P(H) = 0.5

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