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This test is used when comparing one sample proportion to a known value.
What is a one-proportion z-test?
This condition ensures data come from a random sample or randomized experiment.
What is the random condition?
This statistic measures how far your sample proportion is from the hypothesized value in standard deviations.
What is the z-statistic?
If the p-value is less than the alpha level, you do this the null hypothesis.
What is reject the null hypothesis?
This happens when you incorrectly fail to reject a false null hypothesis.
What is a Type II error?
This procedure estimates a population proportion using an interval.
What is a one-proportion z-interval?
This rule states that the sample size must be smaller than 10% of the population. HINT: You do not check this in an experiment.
What is the 10% condition?
This value represents the probability of observing results as extreme as your sample under the null.
This phrase should always be included when interpreting a confidence interval.
What is "We are __% confident that the true proportion of all..."?
The probability of avoiding a Type II error is called this.
What is power?
You use this test when comparing proportions from two independent groups.
What is a two-proportion z-test?
For proportions, this condition requires at least 10 successes and 10 failures.
What is the large counts condition?
This formula gives the standard error for a one-proportion test using the null value.
What is √(p₀(1 − p₀)/n)?
Failing to reject the null means this about the claim.
What is there is no convincing evidence?
In two-proportion tests, pooling is only done for tests, not intervals because of this.
What is because the null assumes proportions are equal?
This interval compares the difference between two population proportions.
What is a two proportion z-interval?
For a hypothesis test, expected counts are calculated using the null value. This is called using what version of p?
What is p-hat under the null (p₀)?
This critical value is used for the most common confidence level/interval. HINT: 95%
What is z = 1.96?
Your conclusion must always be written in context, mentioning these from the context is important.
What is the population and variable in the problem?
This value represents the significance level. HINT: if not stated, assume it's 0.05.
What is alpha (α)?
The correct statistic and parameter to identify when given proportions of a population and sample.
What is P and p-hat?
In two-proportion tests, you combine proportions to check conditions. This is called what?
What is a pooled proportion?
This formula calculates the difference between two sample proportions.
What is p̂₁ − p̂₂?
What is a Type I error?
If a confidence interval for p₁ − p₂ includes 0, it suggests this.