QuestionGet an education: A survey asked 32,126 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary.
\begin{tabular}{lr}
\hline \multicolumn{1}{c}{ Response } & Number \\
\hline A great deal & 10,022 \\
Some & 17,813 \\
Hardly any & 4291 \\
\hline Total & 32,126
\end{tabular}
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Part 1 of 3
(a) What is the probability that a sampled person has either a great deal or hardly any confidence in educational institutions?
The probability that a sampled person has either a great deal or hardly any confidence in educational institutions is 0.4455 .
Part: 1 / 3
Part 2 of 3
(b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has hardly any confidence in educational institutions.
Using the Empirical Method the probability is approximately .
Studdy Solution
STEP 1
1. The survey results are based on a simple random sample.
2. The Empirical Method involves using the relative frequency of an event to estimate its probability.
STEP 2
1. Identify the relevant data for the probability calculation.
2. Calculate the probability using the Empirical Method.
STEP 3
Identify the number of people who have "hardly any" confidence in educational institutions:
STEP 4
Calculate the probability using the Empirical Method. The probability is the ratio of the number of people with "hardly any" confidence to the total number of respondents.
STEP 5
Perform the division and round the result to four decimal places.
The probability that a person has hardly any confidence in educational institutions is approximately:
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