Number 4 and 5! Please show all work!

do you think answers the question better? Explain. 4. A local meteorologist claims that his weather forecasts are correct more than 90% of the time. You randomly sample 63 of his past forecasts and find that 57 of them were correct. Perform a test to determine if the meteorologist's claim is correct. Test at a 10% level of significance. 5. A study of the effect of caffeine on muscle metabolism used eighty male volunteers who each underwent arm exercise tests. Forty of the men were randomly selected to take a capsule containing pure caffeine one hour before the test. The other men received a placebo capsule. During each exercise the subject's respiratory exchange ratio (RER) was measured. (RER is the ratio of CO2 produced to Oz consumed and is an indicator of whether energy is being obtained from carbohydrates or fats). Data found the sample of men who took the caffeine had an average RER of 94.22 with standard devation of 5.61, and the group who took the placebo had mean of 100.56 with standard deviation of 7.70. The question of interest to the experimenter was whether, on average, caffeine changes RER. Test using a level of significance of .05