Confidence Intervals
A 92% confidence level means we're ___% confident that the true value is inside this interval
What's 92%?
This type of hypothesis says the value is either greater than , less than , or not equal to the one in the null
What's alternative (H1) hypothesis?
We use signs like p₁ > p₂ or μd > 0 when for this type of tail test
What's a right-tailed problem?
For one-proportion problem , this is the only pre-requesite to check the statistical test
What's np(1-p) ≥ 10?
In the z-score formula for a population proportion problem , this variable is replaced by p
What's μp̂?
We subtract the confidence level from 100% to find this
What's significance level?
We use the symbol μ when solving this type of problem for the hypothesis test
What's a mean problem?
This formula gives us the sample proportion p-hat for the first group
What is x₁/n₁?
Two-proportion problems have this many pre-requesite checks to check the statistical test
What's two?
This is the formula we use to get p-hat in a problem involving two proportions
What's (x₁ + x₂) / (n₁ + n₂)?
We use this level for the shaded region(s) when sketching a confidence level
What's a significance level?
This type of problem must meet the condition np(1–p) ≥ 10
What's a proportion problem?
For two population proportions, this is always the null hypothesis no matter which type of tail test we do
What's p₁ = p₂?
For a mean problem where n < 30 , this is the other pre-requisite that could be used to check the statistical test
What's that the population is stated to be normally distributed?
In the p-value method , we compare the p-value with this to determine whether or not to accept the alternative hypothesis (H1)
What's the significance level?
We divide the significance level by two when doing this type of test
What's a two-tailed problem?
We can't accept the alternative hypothesis (H₁) when _________ the null hypothesis (H₀)
What's failing to reject H₀?
In a matched-pairs test, the variable d, which is created by subtracting one group’s values from the other, is called this
What's the paired difference?
This type of problem involves checking normal probability plot to assess linearity
What's a two-mean problem?
Doing this results in type II error
What's failing to reject H₀ when the null hypothesis is actually false?
We always calculate values to the left of the shaded signifcance level in all type of problems EXCEPT
What's a chi-suqared problem?
This involves checking to see if the calculated test statistic falls within the shaded area of the sketch when deciding whether or not to reject null hypothesis
What's the classical method?
This is the calculator command we use to calculate the test statistic for a two-sample test with independent means
What's 2-SampTTest?
This states that the distribution of sample means will approach a normal distribution as the sample size becomes large enough , regardless of the original population's distribution
What's the Central Limit Theorem (CLT)?
For confidence interval formula in chi-squared problems , this is why X2_R is on the left side of σ and X2_L is on the right side of σ
What's finding right-area inputs?