Question

Prospective voters in four cities were questioned regarding their party preferences. 100 individuals were surveyed in each city to determine if there is a significant difference among the cities regarding party preference. The results were:

Party           City 1         City 2         City3         City 4         Total

Party A        46                 73               57              62            238

Party B        54                 27               43              38            162

Total            100               100            100          100            400

True or False: The correct null and alternate hypothesis statements for this problem are:

H₀: There is a difference in party preference.

H₁: There is no difference in party preference.

1. True or False

2.  Calculate the Theoretical (Expected) Frequency for the “Party A” choice

3. What is the table (critical) value of Chi-Square for use in a Decision Rule in the four cities problem? Use an alpha of .05

Answer 1

Tabulated Statistics: C1, Worksheet columns

Rows: C1   Columns: Worksheet columns

	City 1	City 2	City 3	City 4	All
Party A	46	73	57	62	238
Expected count	59.50	59.50	59.50	59.50
Party B	54	27	43	38	162
Expected count	40.50	40.50	40.50	40.50
All	100	100	100	100	400

Cell Contents
      Count
     

Chi-Square Test

	Chi-Square	DF	P-Value
Pearson	15.645	3	0.001

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1. False.

2. Refer the table

3. 7.8147 [=CHISQ.INV.RT(0.05,3) ] excel function

Reject Ho