0429- Null versus Alternative Hypothesis

Suppose the P-value for a hypothesis test is 0.0304. Using a significance level (a) = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

The null and alternative hypothesis can be the same.

• Yes

• No

• Maybe

• All the above

Tags

CCSS.6.SP.A.1

When p-value is greater than the significance level (e.g. 0.83 > 0.05) we:

• Reject Ho (null hypothesis)

• Fail to reject Ha (alternative hypothesis)

• Fail to reject Ho (null hypothesis)

• Reject Ha (alternative hypothesis)

When p-value is less than the significance level (e.g. 0.03 < 0.05) we:

• Reject Ho (null hypothesis)

• Fail to reject Ha (alternative hypothesis)

• Fail to reject Ho (null hypothesis)

• Reject Ha (alternative hypothesis)

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

• H_o : μ = 17, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 17

• H_o : μ = 17, H_a : μ ≠ 17

Find the null and alternative hypothesis.

A museum claims that its mean daily attendance is more than 300 people.

Find the null and alternative hypothesis.

A microwave manufacturer claims that the mean life of the thermostat for a certain model of microwave is more than 4 years.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

• H_a: p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

• H_a: p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

• H_a: p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

Bedazzled Motor Company claims that its new sedan, the Glitteratti , will average better than 26 miles per gallon in the city. Which of the following represents the appropriate null & alternative hypotheses?

• H0: μ ≤ 26

  Ha: μ > 26 claim

• H0: μ < 26

  Ha: μ ≥ 26 claim

• H0: μ > 26 claim

  Ha: μ ≤ 26

• H0: μ = 26

  Ha: μ < 26 claim

This symbol denotes the null hypothesis

• H₀

• H_a

Tags

CCSS.HSS.IC.B.3