Question

a poll showed that 69.1% of americans say they believe that some people see the future in their dreams. what is the probability (in percent form) of randomly selecting someone who does not believe that some people see the future in their dreams. probability = (please round your answer to one decimal place.) enter an integer or decimal number more...

Explanation:

Step1: Recall probability rule

The sum of the probability of an event happening and not - happening is 1. Let \(P(A)\) be the probability that a person believes some people see the future in their dreams and \(P(\overline{A})\) be the probability that a person does not believe. Then \(P(A)+P(\overline{A}) = 1\).

Step2: Calculate the required probability

We know that \(P(A)=69.1\%=0.691\). So \(P(\overline{A})=1 - P(A)\). Substitute \(P(A) = 0.691\) into the formula: \(P(\overline{A})=1 - 0.691=0.309\). Convert to percentage form: \(P(\overline{A})=30.9\%\)

Answer:

30.9%