Proportion problem. each year delta dental does a survey of parents concerning the tradition of the tooth fairy. a random sample of 1,058 parents were asked about how much money they leave for a tooth and questions concerning how their child responded to the concept of the tooth fairy. in one question, 508 parents indicated that their child saved the money they got for their tooth. you are asked to test to see if this proportion is different from .5. use an alpha level of .05.what is the test statistic (z*) for this test? i just want the answer. use 4 decimal places for your answer and use the proper rules of rounding.

If you double the input of a function and it results in half the output, and if you triple the input and it results in a third of the output, what can be guessed about the function? check all that apply.

Write as a product: ac^2–ad+c^3–cd–bc^2+bd

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)