(1 point) Albert thinks that he has a special relationship with the number 4. In

Question

(1 point) Albert thinks that he has a special relationship with the number 4. In particular, Albert thinks that he would roll a 4 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Albert will roll a 4. (a) State the null and alternative hypotheses for testing Albert's claim. (Type the symbol "p you need of .. '', "not =. and express any values as a fraction e.g. p = 1/3) for the population proportion, whichever symbols (b) Now suppose Albert makes n = 34 rolls, and a 4 comes up 7 times out of the 34 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 Albert rolls a 4 more often than you'd expect? (Type: Yes or No)

Explanation / Answer

Ans:

a)Ho:p=1/6

Ha:p>1/6

b)hypothized proportion=1/6=0.1667

sample proportion=7/34=0.2059

standard dev=sqrt((1/6)*(5/6)/34)=0.0639

z=(0.2059-0.1667)/0.0639=0.614

P(z>0.614)=0.2697

(consider 0.2696 too)

c)As,p-value>0.05,we fail to reject null hypothesis.

So,we have no evidence to conclude that he rolls 4 more often than you woul expect.

No

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