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.| Number of children | Year 2013 | Year 2014 | Year 2015 ||--------------------|-----------|-----------|-----------|| 0 | 1855 | 1751 | 1998 || 1 | 585 | 636 | 591 || 2 | 599 | 601 | 483 || 3 or more | 515 | 506 | 289 |The table shows the number of visitors with varying numbers of children in their groups for the years 2013, 2014, and 2015. Groups with no children increased over the years, with their highest count in 2015. Groups with one or two children showed slight variations, while groups with three or more children decreased significantly in 2015.

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 Cannery Row district. In 1985, the aquarium began a s

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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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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.

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

The table shows the number of visitors with varying numbers of children in their groups for the years 2013, 2014, and 2015. Groups with no children increased over the years, with their highest count in 2015. Groups with one or two children showed slight variations, while groups with three or more children decreased significantly in 2015.

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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