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What is the minimum number of plants surviving out of 50

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Some researchers have developed a theory regarding the genetics determining resistance of a certain weed to a particular herbicide. According to this theory, one quarter of the plants raised in an experiment should be killed by the herbicide and three quarters should survive. When 50 plants are raised and sprayed with the herbicide, the researchers find that 32 of them survive and 18 die.

Question 1: What would be the best statistical test to use to test whether the researchers' hypothesis should be rejected based on this data?

Question 2: Carry out the test. What is the p-value given by the test? Based on this sample, what is the 95% confidence interval for the proportion of plants that will survive the herbicide in future experiments with large numbers of plants? Should the researchers' hypothesis be rejected?

Question 3: What is the minimum number of plants surviving out of 50 that would have given a non-significant result in this case? And what is the minimum number of plants surviving out of 50 that would have caused the researchers' hypothesis to be rejected because the number of plants surviving was too high?

 

Reference no: EM133517775

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