Answered: National Hurricane Center provides data…

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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The National Hurricane Center provides data that list the number of large (category 3, 4, or 5) hurricanes each year since 1851. The data are summarized below. Recently, there has been some concern that perhaps the number of large hurricanes has been increasing. The natural null hypothesis would be that the frequency of such hurricanes has remained constant.

With the 338 large hurricanes observed over the 17 periods, what are the expected value(s) for each cell? (Round to nearest whole number.)

What is the value of the degrees of freedom? df = _____

What is the chi-square statistic? (To 2 decimal places)

What is the p-value? (3 decimal places; scientific notation)

What is your decision?

The National Hurricane Center provides data that list the number of large
(category 3, 4, or 5) hurricanes each year since 1851. The data are summarized
below. Recently, there has been some concern that perhaps the number of
large hurricanes has been increasing. The natural null hypothesis would be that
the frequency of such hurricanes has remained constant.
DECADE
COUNT
1851 - 1860
10
1861 - 1870
5
1871 - 1880
14
1881 - 1890
14
1891 – 1900
17
1901 – 1910
11
1911 - 1920
13
1921 – 1930
17
1931 – 1940
20
1941 – 1950
29
1951 - 1960
33
1961 - 1970
1971 - 1980
27
16
1981 – 1990
16
1991 – 2000
27
2001 – 2010
38
2011 - 2020
31

With the 338 large hurricanes observed over the 17 periods, what are
the expected value(s) for each cell? (Round to nearest whole number.)
What is the value of the degrees of freedom? df =
What is the chi-square statistic? (To 2 decimal places)
What is the p-value? (To 3 decimal places; enter scientific notation like
this: 1.234E-5 just like your calculator output) *
What is your decision?

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