A random sample ofn=1,000observations from a binomial population producedx= 380.If your research hypothesis is thatpdiffers from0.4, you would test H₀:p= 0.4 versusH_a:p0.4.

Calculate the test statistic and itsp-value. (Round your test statistic to two decimal places and yourp-value to three decimal places.)

test statistic =

p-value=

Suppose driving speed (miles per hour) on CA60 approximately follows a normal distribution with mean 75 and standard deviation 5. What's the probability that a randomly selected vehicle drives at a speed between 70miles per hour and 80 miles per hour? (Round your answers to four decimal places.)