Identify the correct hypotheses, test statistic, critical values, p-value, and conclusion used in a hypothesis test of the following claim and sample data: 1) Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."
A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.
2) Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."
A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.
3) Claim: "The average annual household income in Warren County is $47,500." A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.
4) Claim: "Golfers who had one lesson with this instructor had an average increase of more than 15 yards in the distance of their drives."
A random sample of 5 golfers who had attended a free trial lesson with this golf instructor was selected. Before the lesson, each of these golfers hit several drives from a tee, and the average distance for each golfer was recorded (in yards). This process was repeated after the lesson. Assume that the differences between the "before" and "after" distances are approximately normally distributed. Test the claim at the 0.1 significance level.
Golfer Aaron buddy chloe david eric
Dist before lesson 201.0 195.1 186.4 236.5 250.4
Dist after lesson 224.7 208.6 200.6 264.3 261.9