HW10: Problem 6 Previous Problem List Next (1 point) Matt thinks that he has a s

Question

HW10: Problem 6 Previous Problem List Next (1 point) Matt thinks that he has a special relationship with the number 4. In particular, Matt 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 Matt will roll a 4. (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 eg. p-1/3) Ho = (b) Now suppose Matt makes n = 38 rolls, and a 4 comes up 8 times out of the 38 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 Matt rolls a 4 more often than you'd expect? (Type: Yes or No) Note: You can earn partial credit on this problem.

Explanation / Answer

Ho: p=1/6

Ha: p>1/6

b) for n=38 ; std error =(p(1-p)/n)1/2 =0.0605

sample proportion phat=8/38 =0.2105

therefore test statistic z=(phat-p)/std error =(0.2105-1/6)/0.0605 =0.7255

for above test statistic p value =0.2341

c)as p value is greater then 5% level

No

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