(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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 fo
each of the wedding location categories.
(Observed frequency - Expected frequency )
fE
Expected frequency
Part 1
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more
(fo-Se)
decimal places. Round your
responses to three or more decimal places.
JE
Send data to Excel
Indoors but not in a
church
Total
In a
church
Outdoors
Observed
38
240
74
frequency
128
fo
Expected
frequency
fE
72.00
2
(fo-SE)
fE
0.056
ibution of first we
Transcribed Image Text: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 fo each of the wedding location categories. (Observed frequency - Expected frequency ) fE Expected frequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more (fo-Se) decimal places. Round your responses to three or more decimal places. JE Send data to Excel Indoors but not in a church Total In a church Outdoors Observed 38 240 74 frequency 128 fo Expected frequency fE 72.00 2 (fo-SE) fE 0.056 ibution of first we
Part 2
Answer the following to summarize the test of the hypothesis that the actual distribution of first we
locations matches the distribution in the magazine's popular conception. Use the 0.05 level of signit
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.)
ロ
(c) Find the critical value. (Round your answer to two or more decimal places.)
口
(d) Can we conclude that the actual distribution of location of first weddings is
different from the distribution in the magazine's popular conception?
OYes ONo
Transcribed Image Text:Part 2 Answer the following to summarize the test of the hypothesis that the actual distribution of first we locations matches the distribution in the magazine's popular conception. Use the 0.05 level of signit 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.) ロ (c) Find the critical value. (Round your answer to two or more decimal places.) 口 (d) Can we conclude that the actual distribution of location of first weddings is different from the distribution in the magazine's popular conception? OYes ONo
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