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Stomach pH values fluctuate between 1.5 and 3.5. The researchers expect that in healthy patients in...

Stomach pH values fluctuate between 1.5 and 3.5. The researchers expect that in healthy patients in their study, this will also be the case, and that approximately 50% of the healthy patients will have a stomach pH below 2.5. After collecting data, they find that 30 of 87 healthy patients, or 34.48%, have stomach pH levels below 2.5. Use this information to answer 1.

  1. Assume that the probability that a healthy patient has a stomach pH below 2.5 is 50%. This will be our null hypothesis. Use the binomial distribution to calculate the probability that 30 or fewer healthy patients from a randomly selected sample of 87 healthy patients will have a stomach pH below 2.5. Show all work.
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Answer #1

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Use binomial distribution with n=87 and p=0.5

P(30 or fewer)=binomcdf(87,0.5,30)=0.0025

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