Consider the population of part-time college students. Suppose that 60% of this population is female.

Here is the sampling distribution for the proportion of females in random samples of n students. The standard deviation is approximately 0.10. Lines indicate a distance of 1 and 2 standard deviations above and below the mean.

A normal curve which is centered at a mean of 0.6 . The first standard deviation lines are at 0.5 and 0.7, and the second deviation lines are at 0.4 and 0.8 .

Hint 1 Hint 2 Hint 3

Use the graph to approximate the test statistic if p-hat = 0.75:

Hint 4 Hint 5 Hint 6

Use the graph to approximate the test statistic if p-hat = 0.40: