Question

Use the sampling distribution of the proportion to find the required probability. Round your answer to 4 decimal places. Hint: This requires:

a. Excel
b. Python
c. R
d. MATLAB

Answer 1

To find the required probability using the sampling distribution of the proportion, calculate the z-score using the formula and use it to find the probability.

Step-by-step explanation:

To find the required probability using the sampling distribution of the proportion, we need to calculate the z-score and then use it to find the corresponding probability. The formula for calculating the z-score is:

z = (p - P') / sqrt((P' * (1 - P')) / n)

Where p is the proportion of interest, P' is the estimated proportion, and n is the sample size. Once we have the z-score, we can use a standard normal distribution table, calculator, or statistical software to find the probability.

For example, if we want to find the probability that the proportion is less than a certain value, we can use the formula:

Probability = z-score

By rounding the answer to four decimal places, we can obtain the required probability.