Students at Hope College were tested to see if they could determine the difference between tap water
Question:
Students at Hope College were tested to see if they could determine the difference between tap water and bottled water. Of the 63 students tested, 42 correctly identified which was which. We will assume the students tested are representative of all students at Hope College. a. Find a theory-based 95% confidence interval for the population proportion that can correctly distinguish tap water from bottled water. b. Find a theory-based 99% confidence interval for the population proportion that can correctly distinguish tap water from bottled water. c. Suppose π is the proportion of all Hope College students that can correctly distinguish tap water and bottled water and we are testing the hypotheses Null: π = 0.50 and Alternative: π ≠ 0.50. Based on just the confidence intervals you found in the previous questions, what can you say about the value of the p value for this test?
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