Question: In Chapter 2, we saw data from a statistics class activity in which 190 students were asked to randomly pick one of the numbers 1,

In Chapter 2, we saw data from a statistics class activity in which 190 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 56 students.

a. For the sample, calculate the proportion of students who picked 7.

b. Calculate the standard error for this sample proportion.

c. Calculate a 90% confidence interval for the population proportion.

d. Calculate a 95% confidence interval for the population proportion.

e. Calculate a 98% confidence interval for the population proportion.

f. What do the results of parts

(c) through

(e) indicate about the effect of confidence level on the width of a confidence interval?

g. On the basis of these confidence intervals, do you think that students choose numbers “randomly”? Explain.

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