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It was claimed that 75% of all dentists recommend a
Chapter 8, Problem 6E(choose chapter or problem)
PROBLEM 6E
It was claimed that 75% of all dentists recommend a certain brand of gum for their gum-chewing patients. A consumer group doubted this claim and decided to test H0: p = 0.75 against the alternative hypothesis H1: p < 0.75, where p is the proportion of dentists who recommend that brand of gum. A survey of 390 dentists found that 273 recommended the given brand of gum.
(a) Which hypothesis would you accept if the significance level is α = 0.05?
(b) Which hypothesis would you accept if the significance level is α = 0.01?
(c) Find the p-value for this test.
Questions & Answers
QUESTION:
PROBLEM 6E
It was claimed that 75% of all dentists recommend a certain brand of gum for their gum-chewing patients. A consumer group doubted this claim and decided to test H0: p = 0.75 against the alternative hypothesis H1: p < 0.75, where p is the proportion of dentists who recommend that brand of gum. A survey of 390 dentists found that 273 recommended the given brand of gum.
(a) Which hypothesis would you accept if the significance level is α = 0.05?
(b) Which hypothesis would you accept if the significance level is α = 0.01?
(c) Find the p-value for this test.
ANSWER:
Step 1 of 4
The sample number of dentists is 
The number of dentists who recommended the given brand of gum is 273.
The statistical hypotheses are formed as,
Where p is the proportion of dentists who recommend that brand of gum.