A preliminary survey shows that 20% of college students smoke. In a class of 35 students, what is the probability that more than 35% of the students smoke? Use Appendix B.1 for the z-values. (Round the z-value to 2 decimal places and the final answer to 4 decimal places.)

Question

A preliminary survey shows that 20% of college students smoke. In a class of 35 students, what is the probability that more than 35% of the students smoke? 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

Answer 1

To calculate the probability that more than 35% of the students smoke, we first need to find the z-score for 35% and then use the standard normal distribution table (Appendix B.1) to find the corresponding probability.

Step 1: Calculate the z-score.
The z-score formula is: z = (x - μ) / σ
Where:
x = the value you want to find the z-score for (35% in this case)
μ = the mean (average) of the population (20% in this case)
σ = the standard deviation of the population (unknown in this case)

To calculate the z-score, we need to know the standard deviation of the population, which is not provided in this question. Without that information, we cannot proceed with the calculation.