Question

Matt thinks that he has a special relationship with the number 6. In particular, Matt thinks...

Matt thinks that he has a special relationship with the number 6. In particular, Matt thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose ?p is the true proportion of the time Matt will roll a 6.

(a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g.  p = 1/3)
?0 =  
?? =

(b) Now suppose Matt makes n = 34 rolls, and a 6 comes up 7 times out of the 34 rolls. Determine the P-value of the test:
P-value =

0 0
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Answer #1

The statistical software output for this problem is:

Hence,

a) Ho: p = 1/6

Ha: p > 1/6

b) p - Value = 0.2697

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