Question

question 2
in a brand recognition study, 1093 consumers knew of honda, and 37 did not. use these results to estimate the probability that a randomly selected consumer will recognize honda.
report the answer as a percent rounded to one decimal place accuracy. you need not enter the \%\ symbol.
prob = %

Explanation:

Step1: Calculate the total number of consumers

The total number of consumers is the sum of those who knew Honda and those who did not. So, \(n = 1093+37\).

$$n=1130$$

Step2: Calculate the probability

The probability \(P\) that a consumer recognizes Honda is the number of consumers who knew Honda divided by the total number of consumers. Then multiply by 100 to get the percentage. \(P=\frac{1093}{1130}\times100\).

$$P=\frac{1093\times100}{1130}=\frac{109300}{1130}\approx96.7$$

Answer:

\(96.7\)