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###### Point) Matt thinks that he has special relationship with the number 5. In particular; Matt thinks that he would roll a 5 with a fair 6-sided die more oiten than youd expect by chance alone Suppose pis the true proportion of the time Matt will roll a 5_(a) State the null and alternative hypotheses for testing Matt' $ claim. (Type the symbol "p" for the population proportion_ whichever symbols you need of = not = and express any values as fraction e: P = 1/3) Ho = p = 1/6Hap > 1/

point) Matt thinks that he has special relationship with the number 5. In particular; Matt thinks that he would roll a 5 with a fair 6-sided die more oiten than youd expect by chance alone Suppose pis the true proportion of the time Matt will roll a 5_ (a) State the null and alternative hypotheses for testing Matt' $ claim. (Type the symbol "p" for the population proportion_ whichever symbols you need of = not = and express any values as fraction e: P = 1/3) Ho = p = 1/6 Ha p > 1/6 Now suppose Matt makes n = 30 rolls; and P-value comes up times OUI 0f the 30 rolls. Determine the P-value 0f the test: (c) Answer the question: Does this sample provide evidence at the percent level that Matt rOlls (Type: Yes or No) more often than youd expect?

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