Suppose that a chewing gum company claims that 87% of dentists recommend their chewing gum. Dustin wants to test if this is true. He surveys 57 dentists. 1. Assuming the chewing gum company's claim is true, what is the probability that fewer than 77% of the dentists surveyed recommend the chewing gum? 2. If Dustin does find that fewer than 77% of the dentists surveyed recommend the chewing gum, would you doubt the chewing gum company's claim? Why or why not? (Consider this question on your own. You do not have to provide an answer here.)

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Suppose that a chewing gum company claims that 87% of dentists recommend their chewing gum.
Dustin wants to test if this is true. He surveys 57 dentists.
1. Assuming the chewing gum company's claim is true, what is the probability that fewer than
77% of the dentists surveyed recommend the chewing gum?
2. If Dustin does find that fewer than 77% of the dentists surveyed recommend the chewing gum,
would you doubt the chewing gum company's claim? Why or why not? (Consider this question
on your own. You do not have to provide an answer here.)
Transcribed Image Text:Suppose that a chewing gum company claims that 87% of dentists recommend their chewing gum. Dustin wants to test if this is true. He surveys 57 dentists. 1. Assuming the chewing gum company's claim is true, what is the probability that fewer than 77% of the dentists surveyed recommend the chewing gum? 2. If Dustin does find that fewer than 77% of the dentists surveyed recommend the chewing gum, would you doubt the chewing gum company's claim? Why or why not? (Consider this question on your own. You do not have to provide an answer here.)
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