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 180 dentists. They find that 94.4% of the sample recommends the given brand of toothpaste. Using a significance level of 2.5%, 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:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test? The Student's tt distribution should be used The standard normal (zz) 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. I Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is not equal to 0.9. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely different than 0.9. The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely equal to 0.9. The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is likely equal to 0.9.

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 180 dentists. They find that 94.4% of the sample recommends the given brand of toothpaste. Using a significance level of 2.5%, 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:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test? The Student's tt distribution should be used The standard normal (zz) 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. I Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is not equal to 0.9. The sample data do not provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely different than 0.9. The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely equal to 0.9. The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is likely equal to 0.9.

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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Related questions

Question

right-tailed
two-tailed
left-tailed

Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test?

The Student's tt distribution should be used
The standard normal (zz) 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.

I

Determine the test statistic. Round the solution to two decimal places.

Determine the appropriate conclusion for this hypothesis test.

The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is not equal to 0.9.
The sample data do not provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely different than 0.9.
The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion of dentists who recommend this brand of toothpaste is significantly different than 0.9 and thus we conclude that the proportion of all dentists that recommend this brand of toothpaste is likely equal to 0.9.
The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion of all dentists that recommend this brand of toothpaste is 0.9 and thus we conclude that the proportion of dentists that recommend this brand of toothpaste is likely equal to 0.9.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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