Matrimony Monthly is a top-selling 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. 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.) (c) Find the p-value. (Round your answer to three or more decimal places.) (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 −fOfE2 fE = −Observed frequencyExpected frequency2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Matrimony Monthly is a top-selling 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.

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.)
(c) Find the p-value. (Round your answer to three or more decimal places.)
(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

−fOfE2

=	−Observed frequencyExpected frequency2

Expected frequency

Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your
responses
to three or more decimal places.
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In a church
Indoors but not in a church
Outdoors
Total
?
Observed
frequency
128
60
52
240
fo
Expected
frequency
48.00
fE
0.333
fE

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