Supposed that 44% of voters in Indian River county support a proposed property tax. Consider the sampling distribution of the sample proportion of supporters with sample size n = 106. Determine the mean and standard deviation of the sampling distribution of p^. Round solutions to four decimal places, if necessary.

What is the mean of this distribution?

Meanp^ =

What is the standard error of this distribution?

standard errorp^ =

2- Consider a population where 22% of observations possess a desired characteristic. Furthermore, consider the sampling distribution of a sample proportion with a sample size of n = 121. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary.

Find the probability that in a random sample of 121 observations, greater than 10% of the observations possess the desired characteristic.

P(p^ > 0.1) =

Find the probability that in a random sample of 121 observations, between 25% and 32% of the observations possess the desired characteristic.

P(0.25 < p^ < 0.32) =

3- According to a recent Gallup poll, 70% of Americans report that they are "better off financially today than they were a year ago." Let p^ be the proportion of people in a random sample of 181 Americans that say that they are better off financially today than a year ago. Determine the following probabilities. Round solutions to four decimal places, if necessary.

Find the probability that in a random sample of 181 Americans, greater than 70% say they are better off financially today than they were a year ago.

P(p^ > 0.7) = ---

Find the probability that a random sample of 181 Americans, between 64% and 77% say they are better off financially today than they were a year ago.

P(0.64 < p^ < 0.77) = ---