Explanation Given information: In a poll, 423 out of 2016 adults have one or more tattoo. It is claimed that the percentage of adults who have tattoo is less than 25 % . α = 0.01 Level of significance. Calculation: It is claimed that the percentage of adults who have tattoo is less than 25 % . So null and alternate hypotheses would be given as- Null hypothesis: H 0 : p = 0.25 That is, the percentage of adults who have a tattoo is not less than 25 % . Alternative hypothesis: H 1 : p < 0.25 That is, the percentage of adults who have a tattoo is less than 25 % . In a poll, 423 out of 2016 adults have one or more tattoo. i.e. n = 2 , 016 and x = 423 It is claimed that the percentage of adults who have tattoo is less than 25 % . i.e. p 0 = 0.25 . So the sample proportion p ^ , p ^ = x n = 423 2 , 016 = 0.2098 Compute the test statistic z by using the formula as given below. z = p ^ − p 0 p 0 ( 1 − p 0 ) n = 0

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ISBN: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Chapter 9.4, Problem 19E

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Whether the survey provide convincing evidence that less than 25% adults have a tattoo.

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Chapter 9.4, Problem 18E

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Chapter 9 Solutions

Elementary Statistics 2nd Edition

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Whether the survey provide convincing evidence that less than 25 % adults have a tattoo.

Solution Summary: The author explains that the percentage of adults who have a tattoo is less than 25%.

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Chapter 9 Solutions