The big idea behind hypothesis testing is that we have anassumption about reality, and we see if the data fits thatassumption. The whole process gets complicated by all the notationand calculations, but essentially we’re deciding if the assumptionis possible, or if the data leads us to reject it.
1. Your friend Hamad claims to be exceptional at basketball andcan make 90% of free throws. You watch him at the gym for a weekand find out that he makes 64 shots out of 176 attempts.
Don’t do any calculations here. Just give a quick look at hisresults and claim, and then a statement about whether it backs upHamad’s claim. Please write a complete sentence (or more).
2. In each situation, determine whether you should reject orfail to reject H0.
a. p-value =0.15, ? =0.10 b. p-value = 0.015,? = 0.02
c. z = 2.345,critical value =1.645 d. test statistic =-2.56, critical value = 1.96
3. Yolanda thinks she can roll a 1 on a 6-sided die more oftenthan chance would predict. Write hypotheses to test this. Be sureto define p in words (p = the proportion of…).
4. Test 2: The Japanese harvester beetle has infected severalforests in the Northwest. Official estimates are that 17% of treesare infected. You are a park ranger who has been seeing a lot ofthese beetles lately, and you think the rate is higher in yourarea. You check 400 trees around your cabin and find that 79 ofthem are infected.
- Go through the steps on the Hypothesis Test Guide (D2L). Listeach step like Step 1, Step 2, etc.
- Please check the conditions using complete sentences.
- Please do the calculations out the long way, but definitely useGeoGebra or a calculator stats package to check.
- Even if the conditions aren’t met, do the rest anyway.
- Use ? = 0.03
