Discuss the below:
Q1) ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6. ESPN also reported that in another sample of 1000 homes the proportion of people who watched the Arizona State v. Louisiana State game was .4. Conduct a hypothesis test to determine if the proportion of people who watched the Texas v. Ohio State game was greater than the proportion of people who watched the Arizona State v. Louisiana State game ( ). Assume α = .03 and remember to clearly state both the null and alternate hypothesis and your conclusion about the proportion of people watching the two games.
Q2) Historically, Yosemite Toads lay about 25,000 eggs out of which 15,000 typically hatch (60%). Yosemite National Park Rangers have been monitoring the amount of eggs hatching from Yosemite Toad egg bundles. Recently, Yosemite Rangers took a sample of 100 egg bundles and found that 45% of the eggs hatched. The Rangers would like to know if the true proportion of Yosemite Toad eggs that hatch is really 60% or some other proportion ( ). Conduct a two-tailed hypothesis test to determine if the true proportion of eggs hatching is 60% or not. Assume α= .01 and remember to clearly state both the null and alternate hypothesis as well as your conclusion about the proportion of Yosemite Toad eggs that hatch.