Five hundred (500) random samples are drawn from a large dataset of peoples characteristics. Each sample has a of size n=900. In the large dataset, 10% of the people are left-handed. The proportion of the sample that is left-handed is found for each sample and a histogram of these 500 sample proportions is drawn. Which interval covers the range into which about 68% of the values in the histogram will fall? (Hint: Use the central limit theorem!) O 0.10 +/- 0.0167 O 0.10 +/-0.10 O 0.10 +/- 0.010 O 0.10+/- 0.020 O 0.10 +/- 0.0134You have found a correlation of 42% between two variables in a large sample of people. We should probably test whether there is a statistically significant relationship between the two variables because...? O The confidence interval is large O Correlation is always causation O There could be a correlation in the actual population but none in the sample Although there is a correlation, it might not be very important Question 11 3 pts The cholesterol content of large chicken eggs is normally distributed with a mean of 200 milligrams and standard deviation 15 milligrams. Which choice is closest to the proportion of these eggs have cholesterol content above 205 milligrams? O 2.5% O 63% O 4.5% 95.5% O 37%