Help O Conduct the hypothesis test and provide the test statisic, aritical value

Question

Help O Conduct the hypothesis test and provide the test statisic, aritical value and Pvaliun, and state the conclusion person driled a hole in a die and Sled & with a lead weight, thn proceeded to roll 200 times Hene aro the observed fequencies for the oulcomes of 1,2,3,4, 5, and &, respectively 20, 27, 48, 37,20, 38. Use a o evel to tost the claim Shat the outcomes are not equally koly Does R appear thait tho loaded de behaves diferenty han a air d Cick here to view the chisquare distrbution table 10 significance The criticalvalue i??Rond to three deonnal places as needed ) to three decimal places as needed) dlaim that the outcomes are not equally kely The outcomes

Explanation / Answer

applying chi square goodnes of fit test:

test statsitic =10.300

crtiical value =9.236

p value =0.0672

reject Ho ; there is sufficient..........the outcomes are not to be equally likely so loaded die appear to behave differently

observed Expected Chi square category Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei 1 1/6 26.000 33.333 1.613 2 1/6 27.000 33.333 1.203 3 1/6 46.000 33.333 4.813 4 1/6 37.000 33.333 0.403 5 1/6 26.000 33.333 1.613 6 1/6 38.000 33.333 0.653 total 1.000 200 200 10.300

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