Question

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth. Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. What should he write as the null and alternative hypotheses for this situation?

Answer Options:
A: H0: p = 0.27; Ha: p > 0.27

B: H0: p = 0.27; Ha: p < 0.27

C: H0: p = 0.27; Ha: p ≠ 0.27

D: H0: μ = 0.27; Ha: μ > 0.27

E: H0: μ = 0.27; Ha: μ < 0.27

Answer 1

A: H0: p = 0.27; Ha: p > 0.27

Explanation:

The parameter is the population proportion.

According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.

This means the null hypothesis is :

`H_0: p=0.27`

Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.

This means, the alternate hypothesis is

`H_(a):p \: > \: 0.27`

Therefore the correct choice is A.