0 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 250 dentists. They find that 87.5% of the sample recommends the given brand of toothpaste. Using a = 0.1, 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. Ho:? v H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed Otwo-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used O The standard normal (2) distribution should be used 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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#32). Need help with critical value and test statistic.

Transcribed Image Text:0 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 250 dentists. They find that 87.5% of the sample recommends the given brand of toothpaste. Using a = 0.1, 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. Ho: ? V H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed Otwo-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used O The standard normal (2) distribution should be used 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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