Chapter 18 Part 1: Hypothesis Testing

A sample result that is more than 2 standard deviations from what should happen if the null hypothesis were true, would be called "statistically significant"

• True

• False

Tags

CCSS.HSS.IC.B.4

The weight of an average male tiger is 440 lbs. The Tiger King feeds the male tigers a specific diet for three months to see if their weight changes. What are the null and alternate hypotheses?

• H₀: μ = 440

  H_A: μ = 440

• H₀: μ = 440

  H_A: μ > 440

• H₀: μ = 440

  H_A: μ < 440

• H₀: μ = 440

  H_A: μ ≠ 440

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. What are the null and alternate hypotheses?

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets ≠ $5.40

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets > $5.40

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets < $5.40

• H₀: The average amount of money in pockets > $5.40

  H_A: The average amount of money in pockets = $5.40

In the US 50% of 17 year-old males are 176 cm tall or higher. In Mr. Kellar’s classroom 9 out of 13 males had a height of 176 cm or more. Mr. Kellar claims that his classroom has a significant percentage of boys taller than 176 cm.

Using a One-Proportion Z-Test, do your statistics support Mr. Kellar’s claim?

• Yes, there is a significant difference between Mr. Kellar's claim and the national average

• No, there is not a significant difference between Mr. Kellar's claim and the national average

Tags

CCSS.HSS.IC.B.4

5% of trucks of a certain model have needed new engines after being driven between 0 and 300 miles. The manufacturer hopes that the redesign of one of the engine's components has reduced this problem. Write the null and alternative hypotheses for this situation.

• Ho: p< 0.05

  Ha: p = 0.05

• Ho: p = 0.05

  Ha: p > 0.05

• Ho: p = 0.05

  Ha: p < 0.05

• Ho: p > 0.05

  Ha: p = 0.05

A state university wants to reduce it's failure rate of 14%. After implementing several new programs during the last year, the university conducts a sample and runs a one proportion z-test, which produces a Z score of 1.35. What is a reasonable conclusion?

• There is a 1.35% chance of the new programs having no effect on reducing failure rates.

• There is a 135% chance of the new programs having no effect on reducing failure rates.

• Since the Z score is less than 2, there is no evidence the new programs are more effective, but we cannot conclude that they have no effect on failure rates.

• There is a 1.35% chance of the new programs reducing failure rates, so we conclude the new programs are more effective.

Tags

CCSS.HSS.IC.B.4

Which of the following is the FIRST step of a hypothesis test?

• Check assumptions & conditions
• Find your test statistic
• State your conclusion
• State your null & alternative hypotheses

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• H₀: p = 0.48

• H₀: µ = 96

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4