Question

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.

Answer 1

The answer is "1.5".

Explanation:

Given value:

`p= 60 \% = (60)/(100)= 0.60\\\\\sigma_p = 0.10 \\\\\hat{p} =0.75`

testing the statistics:

`Z= \frac{\hat{p} -p}{\sigma_p}\\\\`

`=(0.75-0.60)/(0.10)\\\\=(0.15)/(0.10)\\\\=1.5`