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WorksheetsNull and Alternative Hypothesis
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
A researcher claims that the proportion of Americans that have seen a UFO, p, is less than 3 in every one thousand.
a)
H0: p > 0.003 Ha: p ≤ 0.003 claim
b)
H0: p = 0.003 claim Ha: p > 0.003
c)
H0: p ≥ 0.003 Ha: p < 0.003 claim
d)
H0: p < 0.003 claim Ha: p ≥ 0.003
2.
A research article in an entomological journal claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.
a)
H0: p ≥ 0.0007 Ha: p < 0.0007 claim
b)
H0: p = 0.0007 Ha: p > 0.0007 claim
c)
H0: p > 0.0007 claim Ha: p ≤ 0.0007
d)
H0: p ≠ 0.0007 claim Ha: p ≥ 0.0007
3.
Bedazzled Motor Company claims that its new sedan, the Glitteratti , will average better than 26 miles per gallon in the city. Use μ, the true average mileage of the Glitteratti .
a)
H0: μ ≤ 26 Ha: μ > 26 claim
b)
H0: μ < 26 Ha: μ ≥ 26 claim
c)
H0: μ > 26 claim Ha: μ ≤ 26
d)
H0: μ = 26 Ha: μ < 26 claim
4.
The owner of a soccer team claims that the average attendance at games is over 62,900, and he is therefore justified in moving the team to a city with a larger stadium.
a)
H0: μ < 62,900 Ha: μ ≥ 62,900 claim
b)
H0: μ = 62,900 claim Ha: μ < 62,900
c)
H0: μ > 62,900 Ha: μ ≤ 62,900 claim
d)
H0: μ ≤ 62,900 Ha: μ > 62,900 claim
5.
A UFO researcher claims that more than 4.1 percent of the population have been abducted by Aliens. Use p, to determine the true percentage of the population that have been abducted by Aliens.
a)
H0: p ≤ 4.1% Ha: p > 4.1% claim
b)
H0: p < 4.1% Ha: p ≥ 4.1% claim
c)
H0: p = 4.1% claim Ha: p < 4.1%
d)
H0: p > 4.1% claim Ha: p ≤ 4.1%
6.
The manufacturer of a refrigeration system for wine produces refrigerators that are supposed to maintain a true mean temperature, μ, of 43°F, ideal for a certain type of French wine. The owner of the Je T'Aime Vin winery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
a)
H0: μ ≠ 43° Ha: μ = 43° claim
b)
H0: μ ≤ 43° Ha: μ > 43° claim
c)
H0: μ ≥ 43° claim Ha: μ < 43°
d)
H0: μ = 43° claim Ha: μ ≠ 43°
7.
A researcher claims that 62% of voters in Silicon Valley are in favor of free internet for everyone.
a)
H0: p = 0.62 claim Ha: p ≠ 0.62
b)
H0: p < 0.62 claim Ha: p ≥ 0.62
c)
H0: p ≥ 0.62 claim Ha: p < 0.62
d)
H0: p ≠ 0.62 claim Ha: p = 0.62
8.
The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by σ = 14.7.
a)
H0: σ = 14.7 claim Ha: σ ≠ 14.7
b)
H0: σ ≥ 14.7 Ha: σ < 14.7 claim
c)
H0: σ > 14.7 Ha: σ ≤ 14.7 claim
d)
D) H0: σ < 14.7 claim Ha: σ > 14.7
9.
Ole Chips and Salsa Company claims that the mean weight of their medium size bag of tortilla chips is at least 14 oz.
a)
H0: μ > 14 claim Ha: μ ≤ 14
b)
H0: μ < 14 Ha: μ ≥ 14 claim
c)
C) H0: μ ≥ 14 claim Ha: μ < 14
d)
H0: μ = 14 claim Ha: μ > 14
10.
An automobile insurance company, Regressive, claims that more than 3.3 percent of the population lie on their applications. Use p, the true percentage of the population that lie on their applications.
a)
H0: p = 3.3% Ha: p ≠ 3.3% claim
b)
H0: p < 3.3% Ha: p ≥ 3.3% claim
c)
H0: p > 3.3% claim Ha: p ≤ 3.3%
d)
H0: p ≤ 3.3% Ha: p > 3.3% claim
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