A toothbrush company dims that over half of al dentists would recommend their to

Question

A toothbrush company dims that over half of al dentists would recommend their toothbrush To test this theory, you decide to randomly select 25 dentists and ask whether or not they recommend this toothbrush Based on your survey, you wit decide if. in fact there is evidence that more than 50% of at dentists recommend this toothbrush Hypotheses Hi The true proportion of dentists who recommend this toothbrush is 50% (p :0 50) H: The true proportion of dentists who recommend this toothbrush is greater than 50% (p > 0.50) Data Of your 25 sampled dentists. 60% recommended the toothbrush This led to a p-value of 0.16 (computations hidden) Choose the correct interpretation of the p-value given above There is a 0 16 chance that H0 is true There is a 0 16 chance that Hi is true There is a 0.16 chance of obtaining sample proportion of 60% or greater of the population proportion is 50%.

Explanation / Answer

A p-value is the probability of getting the observed or more extreme results, given that the null hypothesis is true. therefore, the correct option is (3).

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