Question

In a psychological experiment, individuals are permitted to react to a stimulus in one of two ways, say, A or B. The experimenter wishes to estimate the proportion p of persons exhibiting reaction A. How many persons should be included in the experiment to be 90% confident that the error of estimation is within 0.07 if the experimenter knows that p is about 0.3? Round your answer to the next integer. n =

Answer 1

therefore the value to be concluded is:

n = 632

Explanation:

According to the exercise, we have a scientist study two types of reactions, and we search through the integer n, an answer to the number of people to include in the experiment, with 90% confidence of error of 0.07 when the experimenter knows that p is 0.3, what would be the value?

for this we obtain the following data

E = 0.03, p = 0.3

a = 0.1, Z (0.05) = 1.645 (see standard normal table)

we can deduce the following equation

n = (Z / E) ^ 2 * p * (1-p)

we replace the corresponding data

n = (1.645 / 0.03) ^ 2 * 0.3 * 0.7

we get the following result

n = 631.4058

therefore the value to be concluded is:

n = 632