Answer question 1, all parts, and question 2, all parts. Write normally and clearly and with no cursive.

Math 136 Chi Square Lab Name 1. Fortune magazine collected the zodiac signs of 256 heads of Fortune 500 companies. Signs Aries Taurus Gemini Cancer Leo Virgo Libra Scorpio Sagittarius Capricorn Aquarius Pisces Births 23 20 18 23 20 19 18 21 19 22 24 29 Is there evidence that the birthdays are equally divided among all the zodiac signs? a) What kind of chi-square test is appropriate; goodness-of-fit, homogeneity or independence? b) State the Hypotheses. c) Compute the expected cell values. d) Calculate the test statistic x e) State the degrees of freedom, make a sketch and give the p-value. f) State your conclusion followed by a summary sentence. 2. The table displays Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. Occupation Extroverted Introverted Clergy 62 45 M. D. 68 94 Lawyer 56 81 Is there evidence that an association exists between occupation and personality preferences? a) What kind of chi-square test is appropriate? Circle one: goodness-of-fit, homogeneity or independence? b) State the Hypotheses. c) Compute row and column totals including the grand total. d) Compute the expected cell values. e) Calculate the test statistic x2 . f) State the degrees of freedom, make a sketch and give the p-value. )State your conclusion followed by a summary sentence