According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by the age of 23. crimes included such things as vandalism, underage drinking, drunken driving, shoplifting, and drug possession. From a study in USA Today, quoted in The Week, 2012; 11: 547-548.(a) Is the 30% a parameter or a statistic?(A) Parameter.(B) Statistic.(b) The margin of error for the population proportion estimate, P, is 0.01. use this information to give a range of plausible values for the parameter

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,