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In a television commercial, a manufacturer of toothpaste claims that 75% of dentists recommend the use of its product. A consumer protection group questions this

In a television commercial, a manufacturer of toothpaste claims that 75% of dentists

recommend the use of its product. A consumer protection group questions this claim. A random sample of 300 dentists yields a result of 210 recommending that toothpaste.

A. Compute the 99% confidence interval for the population proportion of dentists who recommend the use of this toothpaste. Interpret this interval.

B. How many dentists should be sampled in order to be 99% confident of being within 3% of

the population proportion of dentists recommending this toothpaste?

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