A company manager believes that a person’s ability to be a leader is directly correlated to...

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A company manager believes that a person’s ability to be aleader is directly correlated to their zodiac sign. He neverselects someone to chair a committee without first evaluating theirzodiac sign. An irate employee sets out to prove her manager wrong.She claims that if zodiac sign truly makes a difference inleadership, then a random sample of 200 CEO’s in our country wouldreveal a difference in zodiac sign distribution. She finds thefollowing zodiac signs for her random sample of 200 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

Can she conclude that zodiac sign makes a difference in whetheror not a person makes a good leader?

Hypotheses:

H0: There is a difference/no difference in leadershipability based on zodiac sign.

H1: There is a difference/no difference in leadershipability based on zodiac sign.

Enter the test statistic - round to 4 decimal places.

___

Enter the p-value - round to 4 decimal places.

___

Can it be concluded that there is a statistically significantdifference in leadership ability based on zodiac sign?

Yes/No

Answer & Explanation Solved by verified expert
3.7 Ratings (290 Votes)
Category Observed Frequency O Proportion p Expected Frequency E OEE Aries 23 0083333 200 0083333 166666 23 166666166666 24067 Taurus 12 0083333 200 0083333 166666 12 166666166666 13066 Gemini 16 0083333 200 0083333 166666 16 166666166666 00267    See Answer
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