(1 point) Pedro thinks that he has a special relationship with the number 3. In
ID: 3314131 • Letter: #
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(1 point) Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 3. and express any values as a fraction (a) State the null and altenative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "not e.g. p-1/3) Ho: Ha (b) Now suppose Pedro makes n 46 rolls, and a 3 comes up 10 times out of the 46 rolls. Determine the P-value of the test: P-value- (c) Answer the question: Does this sample provide evidence at the 5 percent level that Pedro rolls a 3 more often than you'd expect? (Type: Yes or No)Explanation / Answer
a) H0: P = 1/6
H1: P > 1/6 = 0.16667
b) Sample propotion p = 10/46 = 0.2174
Test statsitic Z = (0.2174 - 0.16667) / sqrt((0.16667*0.16667/46))= 0.9231
P-Value: 0.1780
c) Correct answer: NO
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