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Is the gender of a nurse related to the specialty he or she chooses?? A hospital administrator counted the number of nurses by gender in three different nursing specialties within her health system. Perform the appropriate hypothesis test

As necessary, round all work to two or three decimal places. 1) Is the gender of a nurse related to the specialty he or she chooses?? A hospital administrator counted the number of nurses by gender in three different nursing specialties within her health system. Perform the appropriate hypothesis test to answer this question (at a =0.05), showing all necessary parts of the hypothesis test.

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As necessary, round all work to two or three decimal places. 1) Is the gender of a nurse related to the specialty he or she chooses?? A hospital administrator counted the number of nurses by gender in three different nursing specialties within her health system. Perform the appropriate hypothesis test to answer this question (at a =0.05), showing all necessary parts of the hypothesis test. (30 points)GenderNursing specialtyICUERPediatricsMale162038Female24381162) A professor used data from last semester’s statistics class to create a regression that predicts how students will do on the final exam. The equation is , where X1 is the number of hours studied for the exam and X2 is the number of sleep interruptions the night before the exam. What is the predicted score of:a) a student who studied for 10 hours and had 2 sleep interruptions? (3 points)b) a student who studied for 6 hours and had no sleep interruptions? (3 points)3) An ER nurse notices that when she and her colleagues are asked to work overtime, they seem to get less sleep (rather than just having less free time). She collects data from all of the nurses on her shift on the number of hours of overtime worked on their last shift and the amount of sleep they got that evening.Hours of overtimeHours of sleep3609175446a) Create a scatterplot for these data. (5 points)b) Calculate the correlation coefficient. (10 points)c) Perform a hypothesis test to determine if there is a significant correlation (a =0.05) between number of hours of overtime worked and hours of sleep. (15 points)4) An OB office nurse hears about the data collected by the ER nurse in problem #3 and wants to see if the same relationship holds true for her office. She collects data from her coworkers and finds the following data:Hours of overtimeHours of sleepMean1.98.9SD0.71.4r = -0.734a) Which correlation shows a stronger relationship, the ER nurse’s correlation in #3 or the OB nurse’s correlation in #4? Why? (4 points)b) Using the data…

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