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In a television commercial, the manufacturer of a toothpaste claims that more than four out of five dentists recommend the ingredients in its product. To test that claim, a consumer-protection group randomly sampled 400 dentists and asked each dentist whether they would recommend the ingredients in the manufacturer's toothpaste. 334 of the 400 dentists responded that they would recommend the ingredients in the manufacturer's toothpaste. Can the consumer-protection group conclude that the manufacturer's claim is true

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Answer:

Following are the responses to the given question:

Step-by-step explanation:

n = 400

x = amount of displaying the reacts which would allow the fixing in the producing toothpaste = 334

Its value is more than [tex]\frac{4}{5}[/tex] dentists suggest the ingredient of the product.  

[tex]\to p > \frac{4}{5}\\\\\to p > 0.8\\\\[/tex]

Level of significance =[tex]\alpha =0.01[/tex]

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