You are currently viewing a sample of the Cram Kit. Click here to unlock everything.
Your alternative hypothesis (Ha) makes a claim that the population parameter differs from what the H0 says.
Scenario: The Delta Apple Pi chapter at Crammer Nation University claims that their brothers get on average 25 Tinder matches per day. You have a hunch that their daily Tinder matches are actually lower than that, so you collect a random sample of 35 Delta Apple Pi brothers' daily Tinder matches. You measure a mean of 23.5 daily matches with a standard deviation of 5.7 matches. Provide support for your claim using a hypothesis test with an alpha level of 0.05.
H0: µ = 25
HA: µ < 25
PRO TIP #1: We're hypothesizing about the true population mean (µ) here, not the sample mean (x-bar)!
PRO TIP #2: We're testing on the population mean (µ) since our scenario is working with an average (a.k.a. "mean") value, not proportion (p).
The alternative hypothesis can have the greater than (>), less than (<), or not equal to (≠) sign.
We're testing the claim that Sigma Apple Pi brothers average Tinder matches per day are actually less than 25 (<).
However... we could've tested that it is greater than 25 (>) or that it does not equal 25 (≠).
