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What is the p-value given by the test

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Case Study: A student plants 76 seedlings of a rare species to see if they will survive the summer. With 36 of the seedlings she plants them with water-holding beads, while the rest are planted without. At the end of the summer, she finds that 27 of the seedlings she planted with water-holding beads have survived, while 21 of the ones planted without the beads have survived. Her hypothesis is that the beads should increase the survival of the seedlings.

Question 1: What would be the best statistical test to use to test whether the student's hypothesis is supported based on this data?

Question 2: Carry out the test. What is the p-value given by the test? Is her hypothesis supported?

Question 3: What are the best estimate and the 95% confidence interval for the proportion of plants that will survive a similar summer in future if they are planted with water-holding beads?

 

Reference no: EM133518778

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