Exploring Hypothesis Testing in AP Statistics

What event in 2014 marked a significant change in Flint's water supply?

• The implementation of new water safety regulations

• The election of a new city mayor

• The decision to switch from Detroit water to Flint River water

• The construction of a new water treatment plant

What is the null hypothesis in the context of Flint's water safety?

• The water is safe to drink

• The water is unsafe to drink

• The water treatment process is ineffective

• The water contains no contaminants

Which analogy is used to explain the concept of hypothesis testing?

• School grading system

• Balancing scales

• Court system

• Medical diagnosis

What does it mean if the null hypothesis is rejected in hypothesis testing?

• The null hypothesis is proven false

• The alternative hypothesis is proven true

• There is sufficient evidence to doubt the null hypothesis

• The data collected is incorrect

In the Flint water crisis study, what was the null hypothesis regarding the water's lead content?

• More than 10% of homes have high lead content

• No homes have detectable lead content

• Exactly 10% of homes have high lead content

• Less than 10% of homes have high lead content

What outcome in the Flint water study would lead to rejecting the null hypothesis?

• Finding no lead in the water samples

• Finding lead in less than 10% of water samples

• Finding lead in exactly 10% of water samples

• Finding lead in more than 10% of water samples

Tags

CCSS.HSS.IC.B.4

What does a p-value indicate in hypothesis testing?

• The probability of the null hypothesis being true

• The probability of observing the data if the null hypothesis is true

• The reliability of the data sources used

• The percentage of data that supports the hypothesis

What is considered a statistically significant p-value in most scientific studies?

• 0.5

• 1.0

• 0.05

• 0.1

Tags

CCSS.6.SP.A.2

How is the alpha level related to hypothesis testing?

• It confirms the accuracy of the data

• It measures the lead content in water

• It sets the threshold for rejecting the null hypothesis

• It determines the sample size needed for the study

Tags

CCSS.HSN.Q.A.1

What would be a correct interpretation if a p-value is greater than the alpha level?

• The null hypothesis is definitely true

• There is not enough evidence to reject the null hypothesis

• The study must be repeated

• The alternative hypothesis is proven false