It has been estimated that 17% of all university students switch majors within their first two years of starting classes. If a random sample of 430 third-year students is taken at a city university, what is an estimate of the probability that 15% or less had switched majors within their first two years? Use Appendix B.1 for the z-values. (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)
Probability:
Solution
_{} = [p ( 1 - p ) / n] = [(0.17 * 0.83) / 430 ] = 0.018115
P( < 0.15) =
= P[( - _{} ) / _{} < (0.15 - 0.17) / 0.018115]
= P(z < -1.10)
= 0.1357
Probability = 0.1357
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