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. The company Merque is planning on launching a new sugar substitute, the YXL10. The company...

.

The company Merque is planning on launching a new sugar substitute, the YXL10. The company wants to estimate the proportion p of customers that will be allergic to the YXL10. Though

encouraging experiments on rats seem to advocate this proportion does not exceed 40%, nothing is yet known regarding humans. Merque wants to test the YXL10 on a random sample of adults in order to estimate the proportion p with a margin of error, which 98 times out 100 does not exceed 0.005. What is the required sample size to guarantee the desired

precision?

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