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Let p represent the proportion of drivers in a random sample of size 150 who rate themselves as above average. What is the value of p?

a. p > 0.5
b. p = 0.5
c. 0 < p < 0.5
d. p = 1.0

1 Answer

2 votes

Final answer:

Without specific data on the drivers' self-ratings, the exact value of p cannot be determined; it can only be said that the proportion p must be between 0 and 1, inclusive.

Step-by-step explanation:

The question relates to a situation in which we have to determine the value of p, representing the sample proportion of drivers who rate themselves as above average in a sample of size 150. The problem, however, does not provide any data or results that indicate the actual proportion of such drivers. Therefore, without empirical data or additional context, the value of p cannot be exactly determined. What we can infer is that generally, the value of a proportion (like p) must be between 0 and 1, inclusive, because a proportion represents a part of a whole as a fraction or percentage. Hence, without specific data, all we can say is that 0 ≤ p ≤ 1.

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