Matrimony Monthly is a magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors. This past week, the magazine examined a random sample of 240 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 240.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value for each of the wedding location categories. (fo-fE)² JE (Observed frequency - Expected frequency)² Expected frequency

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Question

A. Find the value of the test statistic. (Round your answer to two or more decimal places.)

B. Find the critical value. (Round your answer to two or more decimal places.)

C. Can we conclude that the actual distribution of location of first weddings is different from the distribution in the magazine's popular conception?  

 

 

 

Observed
frequency
fo
Expected
frequency
SE
(fo-fe)
JE
In a church
134
120
1.633
Indoors but not in a church
64
72.00
0.889
Outdoors Total
42
48
.750
240
Transcribed Image Text:Observed frequency fo Expected frequency SE (fo-fe) JE In a church 134 120 1.633 Indoors but not in a church 64 72.00 0.889 Outdoors Total 42 48 .750 240
Matrimony Monthly is a magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched
just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place
indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors. This past week, the magazine examined a
random sample of 240 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies
observed in their sample of 240.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the
magazine is correct. The bottom row of numbers contains the following value for each of the wedding location categories.
(fo-fE)²
SE
(Observed frequency - Expected frequency)²
Expected frequency
Transcribed Image Text:Matrimony Monthly is a magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors. This past week, the magazine examined a random sample of 240 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 240.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value for each of the wedding location categories. (fo-fE)² SE (Observed frequency - Expected frequency)² Expected frequency
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