You have certainly heard the above claim before. Advertisers frequently claim that some percentage of doctors or dentists recommend a given health product. It's best to take such claims with a large grain of salt. Suppose a recent advertisement claims that 9 out of 10 dentists (90%) recommend a certain brand of toothpaste. A consumer advocacy group is highly suspicious of this claim and randomly surveys 158 dentists. They find that 87.9% of the sample recommends the given brand of toothpaste. Using α=0.025α=0.025, test the hypothesis that the proportion of all dentists who recommend this brand of toothpaste is different than 90%. Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test.
Nine out of ten dentists recommend this toothpaste!
You have certainly heard the above claim before. Advertisers frequently claim that some percentage of doctors or dentists recommend a given health product. It's best to take such claims with a large grain of salt.
Suppose a recent advertisement claims that 9 out of 10 dentists (90%) recommend a certain brand of toothpaste. A consumer advocacy group is highly suspicious of this claim and randomly surveys 158 dentists. They find that 87.9% of the sample recommends the given brand of toothpaste.
Using α=0.025α=0.025, test the hypothesis that the proportion of all dentists who recommend this brand of toothpaste is different than 90%.
Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to two decimal places.
Determine the appropriate conclusion for this hypothesis test.
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