If a hypothesis test were conducted using α=.05, for which of the following p -values would the

step 1 For this problem, we are told that if a hypothesis test were conducted using alpha equals 0 .05,

If a hypothesis test were conducted using α=.05, for which...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Rejection Rule

The rejection rule in hypothesis testing states that if the p-value is less than or equal to the significance level ?, the null hypothesis should be rejected. This rule is central to deciding whether the evidence from the data is sufficient to conclude an effect exists.

Significance Level (?)

The significance level, denoted by ?, is the threshold for rejecting the null hypothesis. It represents the maximum probability of committing a Type I error, which is the error made when the null hypothesis is incorrectly rejected.

p-Value

A p-value is the probability, under the assumption that the null hypothesis is true, of obtaining a result equal to or more extreme than what was actually observed. It quantifies the strength of evidence against the null hypothesis; smaller values indicate stronger evidence.

Hypothesis Testing

Hypothesis testing is a statistical method used to make a decision about the validity of a claim (the null hypothesis) based on sample data. It involves comparing observed data to what is expected under the null hypothesis and determining whether the evidence is strong enough to reject it.

Transcript

Please give Ace some feedback