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Mathematics, 05.02.2021 21:20 KHaire2077

A company manager believes that a person's ability to be a leader is directly correlated to their zodiac sign. He never selects someone to chair a committee without first evaluating their zodiac sign. An irate employee sets out to prove her manager wrong. She claims that if zodiac sign truly makes a difference in leadership, then a random sample of 210 CEO's in our country would reveal a difference in zodiac sign distribution. She finds the following zodiac signs for her random sample of 210 CEO's Births Signs
23 Aries
12 Taurus
16 Gemini
20 Cancer
14 Leo
16 Virgo
15 Libra
14 Scorpio
20 Sagittarius
11 Capricorn
17 Aquarius
22 Pisces

Requied:
a. Can she conclude that zodiac sign makes a difference in whether or not a person makes a good leader?
b. Can it be concluded that there is a statistically significant difference in leadership ability based on zodiac sign?

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