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Chapter 11: Q 2. (page 712)

Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 蝉濒辞迟蝉鈥�18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results.

a. State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be.

b. Calculate the expected count for each color.

c. Calculate the value of the chi-square test statistic.

Short Answer

Expert verified

Part (a)H0:pred=1838=0.47,Pblack=1838=0.47,Pgreen=238=0.05Ha:Atleastoneofthepi鈥�sisincorrect.

Part (c) The chi-square test statistic =4.04

Part (b)

Step by step solution

01

Part (a) Step 1: Given information

02

Part (a) Step 2: Explanation

The null and alternative hypotheses:

H0:pred=1838=0.47,Pblack=1838=0.47,Pgreen=238=0.05Ha:Atleastoneofthepi鈥�sisincorrect.

03

Part (b) Step 1: Explanation

Expectedvalue=n脳frequency

Where, n=200

Expected count will be:

04

Part (c) Step 1: Explanation

Using excel,

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