Null and Alternative Hypothesis

The CEO of a 250 person engineering firm claims that the mean work day of the firm’s engineers is less than 8.5 hours.

• H₀ : μ > 8.5, H_a : μ < 8.5

• H₀ : μ = 8.5, H_a : μ ≠ 8.5

• H₀ : μ < 8.5, H_a : μ > 8.5

• H₀ : μ < 8.5, H_a : μ > 8.5

According to the National Federation of the Blind, the number of non-institutionalized, male or female, all ages, with all education levels in the United States reported to have a visual disability in 2014 was 2.2%

• H₀ : p = .022, H_a : p ≠ .022

• H₀ : p > .022, H_a : p < .022

• H₀ : p < .022, H_a : p > .022

• H₀ : p < .022, H_a : p > .022

A Textronics dental X-ray machine bears a label stating that the machine gives radiation dosages with a maximum of 5.00 milliroentgens.

• H₀ : μ < 5.0, H_a : μ > 5.0

• H₀ : μ > 5.0, H_a : μ < 5.0

• H₀ : μ = 5.0, H_a : μ ≠ 5.0

• H₀ : μ > 5.0, H_a : μ < 5.0

The average score of a sixth grader on the Binet Math Aptitude Exam is 75.

• H₀ : μ < 75, H_a : μ > 75

• H₀ : μ > 75, H_a : μ < 75

• H₀ : μ = 75, H_a : μ ≠ 75

• H₀ : μ > 75, H_a : μ < 75

A new radar device is being considered for a certain defense missile system. The claim of the current company states that the probability of a kill with the new system does not exceed the 80% probability of the existing device.

• H₀ : p > 0.80, H_a : p < 0.80

• H₀ : p ≤ 0.80, H_a : p > 0.80

• H₀ : p = 0.80, H_a : p ≠ 0.80

• H₀ : p > 0.80, H_a : p < 0.80

At a certain college it is estimated that at most 25% of the students ride bicycles to class.

• H₀ : p > 0.25, H_a : p < 0.25

• H₀ : p < 0.25, H_a : p > 0.25

• H₀ : p = 0.25, H_a : p ≠ 0.25

• H₀ : p > 0.25, H_a : p < 0.25

The average math SAT score at Hammerhead High School over the years is 520.

• H₀ : μ > 520, H_a : μ < 520

• H₀ : μ > 520, H_a : μ < 520

• H₀ : μ < 520, H_a : μ > 520

• H₀ : μ = 520, H_a : μ ≠ 520

USA Today ran a report about a University of North Carolina poll of a random sample of 1248 adults from the southern United States. It was reported that 7% of those surveyed believe that Elvis Presley still lives.

• H₀ : p > 0.07, H_a : p < 0.07

• H₀ : p ≤ 0.07, H_a : p > 0.07

• H₀ : p = 0.07, H_a : p ≠ 0.07

• H₀ : p > 0.07, H_a : p < 0.07

Artists often submit pictures of their work to be reviewed by judges who then decide which artists’ work will be selected for an exhibition. Marietta College claims to take at least 20% of the work submitted,

• H₀ : p > 0.20, H_a : p < 0.20

• H₀ : p ≤ 0.20, H_a : p > 0.20

• H₀ : p = 0.20, H_a : p ≠ 0.20

• H₀ : p > 0.20, H_a : p < 0.20

An Internet server claimed that its users averaged at most 13 hours per week.

• H₀ : μ > 13, H_a : μ < 13

• H₀ : μ > 13, H_a : μ < 13

• H₀ : μ < 13, H_a : μ > 13

• H₀ : μ = 13, H_a : μ ≠ 13