25. A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that at least 8 of the 9 participants will correctly identify the tap water? (A) 0.0020 (B) 0.0195 (C) 0.8889 (D) 0.9805 (E) 0.9980
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5. This is a binomial probability problem with n = 9 trials, p = 0.5, and we want to find the probability of at least 8 successes (correctly identifying the tap water). Show more…
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A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water, what is the probability that at least 8 of the 9 people will correctly identify the tap water?
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A friend is tested to see whether he can tell bottled water from tap water. There are 30 trials (half with bottled water and half with tap water), and he gets 18 right. a. Pick the correct null hypothesis: i. $\hat{p}=0.50$ ii. $\hat{p}=0.60$ iii. $p=0.50$ iv. $p=0.60$ b. Pick the correct alternative hypothesis: i. $\hat{p} \neq 0.50$ ii. $\hat{p}=0.875$ iii. $p>0.50$ iv. $p \neq 0.875$
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