Calculate the test statistic. (X^2)Enter your answer rounded to three decimal places. The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic CanneryRow district. In 1985, the aquarium began a survey program that involved randomly sampling visitors as they exit for theday. The survey included visitor demographic information, use of social media, and opinions on their aquarium visit. Foreach visitor sampled during 2013-2015, the table contains the distribution of the number of children in their group.YearNumber of children20132014 2015185517511998158563659125996014833 or more515506289

Name: Calculate the test statistic. (X^2)Enter your answer rounded to three
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Description: Calculate the test statistic. (X^2)Enter your answer rounded to three decimal places. The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic CanneryRow district. In 1985, the aquarium began a su

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 8PPS

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Calculate the test statistic. (X^2)Enter your answer rounded to three decimal places.

The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic Cannery
Row district. In 1985, the aquarium began a survey program that involved randomly sampling visitors as they exit for the
day. The survey included visitor demographic information, use of social media, and opinions on their aquarium visit. For
each visitor sampled during 2013-2015, the table contains the distribution of the number of children in their group.
Year
Number of children
2013
2014 2015
1855
1751
1998
1
585
636
591
2
599
601
483
3 or more
515
506
289

Expert Solution

Step 1

From provided information, the aquarium began a survey program that involved randomly sampling visitors as they exit for the day. For each sampled during 2013-2015, the table for distribution of numbers of children in their group is:

Number of
Children	2013	2014	2015
0	1855	1751	1998
1	585	636	591
2	599	601	483
3 or more	515	506	289

The chi-square test statistic can be calculated as:

$χ^{2} = \sum_{i = 1}^{n} \frac{{(o_{i} - e_{i})}^{2}}{e_{i}}$

Where, o_iis observed frequency and e_i is expected frequency

e_ican be calculated as:

$e_{i} = \frac{R o w s u m \times C o l u m n s u m}{T o t a l}$

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