Hi, can I get some help with the following problem? The text book solution on th

Question

Hi, can I get some help with the following problem? The text book solution on the Cramster site doesn't have a solution to part d.

With a perfectly balanced roulette wheel, in the long run, red numbers should turn up 18 times in 38. To test its wheel, one casino records the results of 3,800 plays, finding 1890 red numbers. Is that too many reds? Or chance variation?

a. Formulate the null and alternative hypothesis as statements about a box model.
b. The null says that the percentage of reds in the box is _____. The alternative says that the percentage of reds in the box is _____. Fill in the blanks.
c. Compute z and P
d. Arer there too many reds?

Explanation / Answer

H0: p = 18/38 HA: p > 18/38 z = (1890/3800 - 18/38)/sqrt((18/38)(20/38)/38) = 2.92 P = 0.0017 There is evidence that there are more reds than we would expect if the wheel is properly aligned.

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