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. (o-E) (ObservettequencyExpectefrequency ? ∞ JE Expectefrequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (0-1) JE responses to three or more decimal places. Send data to Excel In a church Indoors but not in a church Outdoors Total X Observed frequency 128 72 40 240 Expected frequency JE JE 0 48.00 1.333 Part 2 Answer the following to summarize the test of the hypothesis that the actual distribution of first wedding locations matches the distribution in the magazine's popular conception. Use the 0.05 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one)▼ (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) 0 (d) Can we conclude that the actual distribution of location of first weddings is different from the distribution in the magazine's popular conception? Yes No G

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.
(o-E) (ObservettequencyExpectefrequency
?
∞
JE
Expectefrequency
Part 1
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places.
Round your
(0-1)
JE
responses to three or more decimal places.
Send data to Excel
In a church
Indoors but not in a church
Outdoors
Total
X
Observed
frequency
128
72
40
240
Expected
frequency
JE
JE
0
48.00
1.333
Part 2
Answer the following to summarize the test of the hypothesis that the actual distribution of first wedding locations
matches the distribution in the magazine's popular conception. Use the 0.05 level of significance for the test.
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)▼
(b) Find the value of the test statistic. (Round your answer to two or more
decimal places.)
0
(c) Find the critical value. (Round your answer to two or more decimal
places.)
0
(d) Can we conclude that the actual distribution of location of first weddings
is different from the distribution in the magazine's popular conception?
Yes No
G
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. (o-E) (ObservettequencyExpectefrequency ? ∞ JE Expectefrequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (0-1) JE responses to three or more decimal places. Send data to Excel In a church Indoors but not in a church Outdoors Total X Observed frequency 128 72 40 240 Expected frequency JE JE 0 48.00 1.333 Part 2 Answer the following to summarize the test of the hypothesis that the actual distribution of first wedding locations matches the distribution in the magazine's popular conception. Use the 0.05 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one)▼ (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) 0 (d) Can we conclude that the actual distribution of location of first weddings is different from the distribution in the magazine's popular conception? Yes No G
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