Question

Open Hurricanes data.

Test if there is a significant difference in death by Hurricanes with category 1 and category 4. Answer the questions for Assessment. (Pick the closest answer)

7. What is the P-value?

• a. #DIV/0!
• b. 0.128060089
• c. 0.342038086
• d. None of these

8. What is the Statistical interpretation?

• a. The P-value is too small to have a conclusive answer.
• b. The P-value is too large to have a conclusive answer.
• c. The P-value is smaller then 5%, thus we are very certain that hurricane category does not influences the death count.
• d. None of these.

9. What is the conclusion?

• a. The Statistical interpretation agrees with the intuition: there is a difference in hurricane related death due to the strength of the hurricanes.
• b. The Statistical interpretation does not agree with the intuition that strength of the hurricane will make a difference in the number of hurricane related deaths.
• c. Statistics confirms that hurricanes category does not relate to the death count.
• d. None of these.

DATA: https://www.limes.one/Content/DataFiles/Huricanes.txt

Answer 1

The computation has been done using R programming language

The code and results are as follows:

CODE :

> df=read.table("hurricanes.txt",header=TRUE)
> df1=subset(df,df$Category==1)
> x=df1['alldeaths']
> df2=subset(df,df$Category==4)
> y=df2['alldeaths']
>
> t.test(x,y)

RESULT :

Welch Two Sample t-test

data: x and y
t = -1.6543, df = 10.34, p-value = 0.1281
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-39.040713 5.685157
sample estimates:
mean of x mean of y
12.72222 29.40000

7. b) 0.128060089

8. d) The p-value > 0.05. Hence we accept the null hypothesis (relating to equality of means) at 5% level of significance and conclude that there is no influence of the category of hurricanes on death rate.

9. b) The Statistical interpretation does not agree with the intuition that strength of the hurricane will make a difference in the number of hurricane related deaths.