Explanation Given info: An insurance company obtained the number of crashes occurring with respect to the zodiac sign and each sign had encountered crashes. They are listed in order of their months. A theory states that the number of crashes is directly proportional to the lengths of zodiac sign. Calculation: The claim is to test whether the actual number of crashes agrees with the expected number of crashes. If the claim is not true, then the actual numbers of crashes do not agree with the expected number of crashes. The hypotheses are given below: Null hypothesis: H 0 : p Cap = 0.079450 , p Aqua = 0.065753 , p Pisces = 0.098630 , p Aries = 0.073973 , p Taurus = 0.101370 , p Gem = 0.084932 , p Cancer = 0.054795 , p Leo = 0.101370 , p Virgo = 0.123288 , p Libra = 0.063014 , p Scor = 0.016438 , p Ophi = 0.052055 , p Sagi = 0.084932 Alternative hypothesis: H 1 : At least one of the proportions is not equal to the given claim. The test statistic is calculated by the formula, χ 2 = ∑ ( O − E ) 2 E Where, O represents the observed frequency and E represents the expected frequency Methods for finding the expected frequency: If the all the expected frequencies are equal, then use E = n k If the expected frequencies are not equal, then use E = n p for each category

Essentials of Statistics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780321926739

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 11, Problem 1FDD

To determine

To test: The claim that the actual number of crashes agrees with the expected number of crashes.

To brief: The results obtained from the analysis.

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Chapter 11 Solutions

Essentials of Statistics, Books a la Carte Edition (5th Edition)

Ch. 11.2 - Prob. 1BSC Ch. 11.2 - Prob. 2BSC Ch. 11.2 - Prob. 3BSC Ch. 11.2 - Prob. 4BSC Ch. 11.2 - Prob. 5BSC Ch. 11.2 - Prob. 6BSC Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 9BSC Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...

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To test: The claim that the actual number of crashes agrees with the expected number of crashes. To brief: The results obtained from the analysis.

Solution Summary: The author explains that there is sufficient evidence to reject the claim that the actual number of crashes agrees with the expected number.