3. suppose that the proportion p of defective items in a large population of items is unknown, and that it is desired to test the following hypotheses: h0: p = 0.2, h1: p = 0.2. suppose also that a random sample of 20 items is drawn from the population. let y denote the number of defective items in the sample, and consider a test procedure δ such that the critical region contains all the outcomes for which either y ≥ 7 or y ≤ 1. a. determine the value of the power function π(p|δ) at the points p = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 1; sketch the power function. b. determine the size of the test.

Solve the equation using the given values: x= -2.5; y= -7.51. 2xy + 2x²

Scale factor of 2 is used to enlarge a figure as shown below the area of is 18 in.²

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.