Suppose that an alien lands on Earth and wants to estimate the proportion of humans who are male. Fortunately, the alien had a good statistics course on its home planet, so it knows to take a sample of human beings and produce a confidence interval. Suppose that the alien happened upon the members of Dr. Cortes’s statistics class from fall semester, so it finds 7 males in its sample (there were a total of 38 students).

Use this sample information (with technology) to form, a 95% one-proportion z-confidence interval for the actual proportion of all humans who are female.

The 95% confidence interval for the population proportion of females is (0.693, 0.939)

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

If the sample collected, of size n=38, has 7 males and 31 females, the sample proportion is p=0.8158.

The estimated standard error of the proportion is:

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion of females is (0.693, 0.939), estimated from this sample.

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

susie has 7 apples