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:

BirthsSigns25Aries13Taurus17Gemini21Cancer16Leo18Virgo15Libra16Scorpio20Sagittarius11Capricorn23Aquarius15Pisces

Can she conclude that zodiac sign makes a difference in whether or not a person makes a good leader? Alpha = .10.

Question 7 options:

yes because the p-value = 0.5523

no because the p-value = 0.5523

yes because the p-value = 0.4798

no because the p-value = 0.4798