According to one pollster, 54% of children are afraid of the dark, suppose that

Question

According to one pollster, 54% of children are afraid of the dark, suppose that a sample of size 26 is drawn. Find the value of alpha_ the standard deviation of the distribution of sample proportions. Write only a number as your answer. Round to two decimal places. It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find the probability that the proportion of people in the sample who text and drive is less than 0.486. Write only a number as your answer. Round to 4 decimal places. (for example 0.3748). De not write as a percentage. At a certain college, 50% of all students take advantage of free tutoring services. A sample of 26 students is selected. What is the probability that the proportion of students who take advantage of free featuring services is the sample is between 0.400 and o.580? Write only a number as your answer. Round to 4 decimal place (for example 0.3748). Do not write as a percentage.

Explanation / Answer

Probability p is given as 0.54

sample size n is 26

variance is given by n*p*(1-p)

=26*0.54*0.46

=6.4584

Standard deviation is square root of variance which is 2.5413

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