1 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 284 dentists. They find that 83.9% of the sample recommends the given brand of toothpaste. Using a significance level of 0.5%, test the hypothesis that the proportion of all dentists who recommend this brand of toothpaste is different than 90%. State the null and alternative hypothesis for this test. H0= H1= 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. =
1 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 284 dentists. They find that 83.9% of the sample recommends the given brand of toothpaste.
Using a significance level of 0.5%, test the hypothesis that the proportion of all dentists who recommend this brand of toothpaste is different than 90%.
State the null and alternative hypothesis for this test.
H0=
H1=
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. =
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