AP Statistics Review

1000 heads (since the probability of heads is 0.5, 0.5 * 2000 = 1000).

The critical value t* is the value that separates the most extreme 10% of the t distribution from the rest, used in hypothesis testing.

1/2 (since the probability of rolling a 6 is 3 times that of rolling a 1, the total probability for 1 or 6 is 1/2).

The data can be regarded as a random sample from the population.

It means that there is not enough evidence to support the alternative hypothesis Hₐ.

A confidence interval is a range of values that is likely to contain the population parameter with a certain level of confidence.

The significance level (α) is the probability of rejecting the null hypothesis when it is actually true.

A population includes all members of a specified group, while a sample is a subset of the population.

It means that the distribution follows a bell-shaped curve, where most of the data points cluster around the mean.

The purpose of a hypothesis test is to determine whether there is enough evidence to reject a null hypothesis.