9.1 Significance Test

A Type I error is when: 

• We obtain the wrong test statistic
• We reject the null hypothesis when it is actually true
• We fail to reject the null hypothesis when it's actually false
• We reject the alternate hypothesis when it's actually true

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

• H₀: μ > 64"
  Hₐ: μ ≠ 64"
• H₀: μ = 64"
  Hₐ: μ > 64"
• H₀: p > 64"
  Hₐ: p ≠ 64"
• H₀: p = 64"
  Hₐ: p > 64"

Tags

CCSS.HSS.IC.B.4

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.B.4

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.B.4

The p-value of a hypothesis test is .0281.  Is this result significant at the 5% significance level?

• Yes, because .0281 > .05.
• Yes, because .0281 < .05.
• No, because .0281 < .05.
• No, because .0281 > .05.

The p-value of a hypothesis test is .0281. Is this result significant at the 1% significance level?

• Yes, because .0281 > .01.
• No, because .0281 > .01.
• No, because .0281 < .01.
• Yes, because .0281 < .01.