Question

In: Statistics and Probability

PLEASE answer all parts :) 1. Suppose public opinion is split 60% against and 40% for...

PLEASE answer all parts :)

1. Suppose public opinion is split 60% against and 40% for increasing taxes to help balance the federal budget. 300 people from the population are selected randomly and interviewed.

a) The sampling distribution of the sample proportion of people who are against increasing taxes to help balance the federal budget has a mean of _____ and a standard deviation of _______.

b) What is the probability at least 65% of the people in the sample are against increasing taxes to help balance the federal budget? _______

c) What is the probability between 58% and 64% of the people in the sample are against increasing taxes to help balance the federal budget? _______

Solutions

Expert Solution

Let denotes the sample proportion people who are against increasing taxes to help balance the federal budget in a random sample of 300 people.

a) The sampling distribution of the sample proportion of people who are against increasing taxes to help balance the federal budget has a mean of 0.6 and a standard deviation of 0.0283

c) The probability between 58% and 64% of the people in the sample are against increasing taxes to help balance the federal budget is


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