Concept Quiz: The One-Sample Z-Test

After conducting your one-sample z-test, you find an obtained z-statistic of 1.08 and a critical z-statistic of 1.64. What do you conclude?

Fail to reject the null hypothesis; the sample mean and population mean are not significantly different.

An alternative hypothesis in a one-sample z-test could state which of the following:

The sample mean is greater than the population mean.

For a one-sample z-test, the population's standard deviation is ________ .

known

In a one-sample z-test, the standard error of the mean is calculated as:

the population standard deviation divided by the square root of the size of the sample.

In the one-sample z-test, the null hypothesis states that:

the sample mean is equal to the population mean

When calculating the one-sample z-test, the numerator of the equation includes:

the sample mean minus the population mean

In a one-sample z-test, the standard error of the mean is calculated using which two pieces of information?

the standard deviation of the population and the size of the sample

Nate is conducting a one-sample z-test and sets the alpha to .10. This means that:

there is a 10% chance of making a Type 1 error.

When conducting a one-sample z-test, a one-tailed test will have _____ compared to a two-tailed test.

a critical value that is closer to zero