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It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p= 0.9 against the alternate hypoth- esis H₁ p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.

It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p= 0.9 against the alternate hypoth- esis H₁ p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p = 0.9 against the alternate hypoth- esis H₁ : p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ : p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.
Transcribed Image Text:It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p = 0.9 against the alternate hypoth- esis H₁ : p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ : p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.
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