Question

(A) Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded.

	Dollars Spent on Federal Projects in Home Districts
Party	Less than 5 Billion	5 to 10 Billion	More than 10 billion	Row Total
Democratic	10	15	20	45
Republican	15	20	12	47
Column Total	25	35	32	92

Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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(B) The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.

	Personality Type
Occupation	E	I	Row Total
Clergy (all denominations)	67	40	107
M.D.	68	94	162
Lawyer	58	79	137
Column Total	193	213	406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

Answer 1