In a restaurant, the proportion of people who order coffee with their dinner is p. a simple random sample of 144 patrons of the restaurant is taken and 120 ordered coffees with their meal. (a) state the null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85. (b) determine the test statistic and test the hypotheses at 95% confidence.

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.