1. There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 404 people were observed entering the building. The number using each entrance is reported below. At the 0.10 significance level, is there a difference in the use of the four entrances?

Entrance	Frequency
Main Street	85
Broad street	85
cherry street	118
walnut street	110
total	404

H₀: _M = _B = _C = _W H₁: The proportions are not equal. a. State the decision rule. Use 0.10 significance level. (Round your answer to 3 decimal places.)

Reject H0 if chi-square> ------------------

b. How many degrees of freedom are there?

Degrees of freedom ---------------------

c. Compute the value of chi-square. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round f_e,(f_o - f_e) and (f_o - f_e)²/f_e to 2 decimal places. Round ² to 2 decimal places.)

Entrance	fo	fe	fo-fe	(fo-fe)^2/fe
Main
Broad
Cherry
walnut
total

d. What is your decision regarding H₀?

H0 is -------------- The entrances ------------ equally preferred

2. The objective of a community research project is to determine whether women are more community conscious before marriage or after 5 years of marriage. A test designed to measure community consciousness was administered to a sample of nine women before marriage, and the same test was given to them 5 years after marriage. The test scores are:

	Before			After			Before	After
Name	Marriage			Marriage		Name	Marriage	Marriage
Beth		114		98		Carol	119	118
Jean		111		111		Lisa	126	134
Sue		120		125		Sandy	146	156
Cathy		138		128		Petra	152	138
Mary		114		124

a. Test at the 0.05 level. H₀ is: There is no difference in community consciousness before and after marriage. H₁ is: There is a difference.

H0 is rejected if T -----------, n= -------------

b. Complete the table below. (Hint: Consider After Marriage as first sample for calculation.) (Round your answers to the nearest whole number. Leave no cells blank be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign.)

Name	Before	After	d	Rank	R+	R-
Beth	114	98
Jean	120	125
sue	138	128
cathy	114	124
mary	119	118
carol	126	134
sandy	146	156
petra	152	138

c.

The smaller sum of ranks is --------, which is the computed T ------------ H0

There is ---------- difference in community responsibility before and after marriage.