hypothosis test Step 1 Ho P Po Ha 1 P Po 2 P Po 3 P not equal to Po Multiplication Step 2 test statistics phat Po sqrt Po Qo n 1 General rule P A and B P A x P B I A 2 Special rule P A and B P A x P B is used when the events are independent Compliment Rule P A 1 P A Key word Atleast Expected Value chart format asking for an expected value Variance X1 P1 X2 P2 X3 P3 Expected value mean Var x x1 mean 2 p1 x2 mean 2 p2 until n Rules for expected value 1 2 E a bx a bE x Var a bx b 2 var x Binomial distribution Need exact number p x of sucess Enter numbers into L1 L2 Stat Calc 1VarStats L1 L 2 x bar Enter numbers into L1 L2 Stat Calc 1VarStats L1 L 2 Square Standard Deviation 3 4 E x y E x E y Var x y Var x Var y if and only if x y are independent 2nd Vars binomPdf n probabilty of success Binomial distribution p x or of success At most p x or of success At least 1 answer 2nd Vars binomCdf n probabilty of success To find z score when given a percentile z x mean standard deviation 2nd Vars Invnorm percentile To find the actual value if given z score Multiply z score by standard deviation and add to mean To find p value Use z score found sampling distribution mean p standard deviation sqrt pq n 2nd Vars normalcdf z score 11 or 11 z score confidence interval p hat Z sqrt phat qhat n estimate critical value standard error marignal of error to decrease margin of error increase n or decrease confindence level
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