42. What is the likelihood that he pulls a survey that shows the physician assistant as their preferred healthcare provider?

Answer: A

Explanation:

The likelihood that he pulls a survey that shows the physician assistant as their preferred healthcare provider is 0.37.

This indicates that there is a 37% chance that the survey results will reflect the physician assistant as the preferred choice among respondents.

A) 0.37

This option is correct as it accurately represents the probability of the physician assistant being the preferred healthcare provider according to the survey data. A 0.37 likelihood indicates a significant preference among a portion of the surveyed population.

B) 0.5

Option B is incorrect because a likelihood of 0.5 would suggest that there is an equal chance of the physician assistant being preferred as not preferred, which does not align with the given data indicating a specific 37% probability.

C) 0.13

This option is also incorrect, as 0.13 implies a much lower likelihood of preference for the physician assistant compared to the provided correct answer of 0.37. Such a low probability would not accurately represent the survey results.

D) 0.75

Option D is incorrect because a 0.75 likelihood would imply a very high preference for the physician assistant, which contradicts the stated probability of 0.37. This option overestimates the chances based on the survey's findings.

Conclusion

The correct answer of 0.37 accurately reflects the likelihood of the physician assistant being preferred among respondents in the survey. Other options fail to represent this probability, either significantly underestimating or overestimating the chance of preference, thereby misrepresenting the data provided.