A survey of 100 randomly selected dentists in the state of Ohio results in 78% who would recommend the use of a certain toothpaste. The population proportion is known to be p = 0.72. For samples of size 100, which of the following best interprets the mean of the sampling distribution of sample proportion of dentists in the state of Ohio who would recommend the use of a certain toothpaste?
(a) For all random samples of 100 dentists in the state of Ohio, the sample proportion will be 0.72.
b) For all random samples of 100 dentists in the state of Ohio, the sample proportion will be 0.78.
(c) The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.72.
d) The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.78.
(e) The probability that the mean of the sampling distribution of sample proportions is greater than 0.72 is 0.78.