A researcher on Chicago’s west side wishes to determine the relationship between

Question

A researcher on Chicago’s west side wishes to determine the relationship between the air temperature and the number of fire hydrants opened illegally on the west side. The researcher gathers the data below which represent the days’ high temperature (in degrees Fahrenheit) and the number of fire hydrants opened that day. Eight days in July were sampled and the data are below:

Which of the following are the correct statements of the null and alternate hypotheses, H0 and HA ?

Day Temperature (X) Illegally Opened Hydrants (Y) 1 85 12 2 95 18 3 93 17 4 98 20 5 75 5 6 82 10 7 93 10 8 88 12

Explanation / Answer

Here we will use test for correlation coefficient: Hypotheses are: where shows the correlation coefficient between the two variables. Following table shows the calcualtion for correlation

option a

Ho:p=0 and HA:pnot equal to 0

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