The speed limit along I-10 from Kerr County to El Paso County was raised by the Texas Legislature to 75 miles per hour (121 km/h) in 1999, and to 80 miles per hour (130 km/h) in 2006. However most vehicles are driven with speeds under 80 miles per hour (mph). A radar system was placed on I-10 between Kerr County and El Paso County, and the speed (in mph) of each vehicle passing the radar system was recorded over a continuous 48 hour time interval. Fifteen vehicles were randomly sampled from all vehicles passing the radar system during the 48 hour time interval (many, many vehicles passed the radar system during this time interval). The speeds (in mph) for these 15 vehicles are given below. 67 68 69 71 72 73 74 75 76 77 78 82 85 86 87 Define the random variable X to be the speed of a vehicle randomly selected from all vehicles passing the radar system during the 48 hour time interval. a) The research (i.e. alternate) hypothesis is that expected speed of vehicles passing the radar system during the 48 hour time interval is less than 80 mph. Set up the appropriate null and alternate hypotheses. Ho HA Calculate the P-value for the test. Based on the P-value only, do you accept or reject the null hypothesis? Why?