A hypothesis is an assumption about a population parameter such as a mean or a proportion.
The alternative hypothesis, denoted by H0, represents the status quo and involves stating the belief that the population parameter is, ≤, =, or ≥ a specific value.
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. The correct hypothesis statement would be _______________.
H0: = 45; H1: > 45
H0: = 45; H1 45
H0: 45; H1: = 45
H0: = 45; H1: < 45
Black Diamond produces climbing equipment and would like to test whether a new steel carabiner has an average breaking strength greater than 25 Kn (kilonewtons). A Type II error would occur if the testers conclude that the average breaking strength is _____________________.
greater than 25 Kn when, in reality, the average breaking strength is less than or equal to 25 Kn
equal to 25 Kn when, in reality, the average breaking strength is greater than 25 Kn
less than 25 Kn when, in reality, the average breaking strength is not equal to 25 Kn
less than equal to 25 Kn when, in reality, the average breaking strength is greater than 25 Kn
When conducting a hypothesis test for the population mean when sigma is known and the sample size is 30 or more, the test statistic follows the ______________________.