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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 260 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 260.) 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-x) (Observed frequency-Expected frequency) Part 1 JE = 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. Send data to Excel In a church Indoors but not in a church Outdoors Total X G (So-SE) JE Observed frequency 140 fo Expected frequency JE O 76 44 260 0 52.00 (So-SE)² 0 0 1.231 SE 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 p-value. (Round your answer to three or more decimal places.) X 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?

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 260 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 260.) 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-x) (Observed frequency-Expected frequency) Part 1 JE = 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. Send data to Excel In a church Indoors but not in a church Outdoors Total X G (So-SE) JE Observed frequency 140 fo Expected frequency JE O 76 44 260 0 52.00 (So-SE)² 0 0 1.231 SE 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 p-value. (Round your answer to three or more decimal places.) X 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 260 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 260.) 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-x) (Observed frequency-Expected frequency) Part 1 JE = 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. Send data to Excel In a church Indoors but not in a church Outdoors Total X G (So-SE) JE Observed frequency 140 fo Expected frequency JE O 76 44 260 0 52.00 (So-SE)² 0 0 1.231 SE 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 p-value. (Round your answer to three or more decimal places.) X 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?
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 260 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 260.) 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-x) (Observed frequency-Expected frequency) Part 1 JE = 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. Send data to Excel In a church Indoors but not in a church Outdoors Total X G (So-SE) JE Observed frequency 140 fo Expected frequency JE O 76 44 260 0 52.00 (So-SE)² 0 0 1.231 SE 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 p-value. (Round your answer to three or more decimal places.) X 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?
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