A simple random sample of 6,250 history majors at U. S. universitites was taken. Almost all of them could correctly name Abraham Lincoln's second Vice President, but only 11.3% of them knew his first Vice President. If possible, find a 95%-confidence interval for the percentage of history majors at U. S. universities who knew Abraham Lincoln's first Vice President. If this is not possible, why not

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the z-score that has a p-value of .

6250 students, 11.3% knew Abraham Lincoln's first vice-president.

This means that

95% confidence level

So , z is the value of Z that has a p-value of , so .

The lower limit of this interval is:

The upper limit of this interval is:

As percentages:

0.105*100% = 10.5%

0.121*100% = 12.1%

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.