CHAP. 5] STATISTICAL INFERENCE: TESTING HYPOTHESES 121 The process is repeated 18 times, and the result is that a green ball is picked 8 times, a white ball is picked 7 times, a red ball is picked once, and a blue ball is picked twice. Does the urn contain an equal number of green, white, red, or blue balls? Test the hypothesis at the 5% level of significance. Ans. The hypothesis should be accepted at the 5% level of significance that the urn contains an equal number of balls of all four colors.

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5.48
An urn contains balls of 4 colors: green, white, red, and blue. A ball is picked from the urn and its color is
recorded. The ball is then replaced in the urn, the balls are thoroughly mixed, and another ball is picked.
CHAP. 5]
STATISTICAL INFERENCE: TESTING HYPOTHESES
121
The process is repeated 18 times, and the result is that a green ball is picked 8 times, a white ball is picked 7
times, a red ball is picked once, and a blue ball is picked twice. Does the urn contain an equal number of
green, white, red, or blue balls? Test the hypothesis at the 5% level of significance.
Ans. The hypothesis should be accepted at the 5% level of significance that the urn contains an equal
number of balls of all four colors.
Transcribed Image Text:5.48 An urn contains balls of 4 colors: green, white, red, and blue. A ball is picked from the urn and its color is recorded. The ball is then replaced in the urn, the balls are thoroughly mixed, and another ball is picked. CHAP. 5] STATISTICAL INFERENCE: TESTING HYPOTHESES 121 The process is repeated 18 times, and the result is that a green ball is picked 8 times, a white ball is picked 7 times, a red ball is picked once, and a blue ball is picked twice. Does the urn contain an equal number of green, white, red, or blue balls? Test the hypothesis at the 5% level of significance. Ans. The hypothesis should be accepted at the 5% level of significance that the urn contains an equal number of balls of all four colors.
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