The number of deaths due to firearms in the United States between 1968 and 1993 are given below
year |
firearm deaths (thousands) |
1968 |
23 |
1969 |
24 |
1970 |
27 |
1971 |
29 |
1972 |
30 |
1973 |
31 |
1974 |
33 |
1975 |
32 |
1976 |
30 |
1977 |
32 |
1978 |
31 |
1979 |
33 |
1980 |
34 |
1981 |
34 |
1982 |
33 |
1983 |
30 |
1984 |
31 |
1985 |
32 |
1986 |
34 |
1987 |
33 |
1988 |
34 |
1989 |
35 |
1990 |
37 |
1991 |
39 |
1992 |
38 |
1993 |
41 |
Answer the following using the research hypothesis, "there is a correlation between year and number of firearm deaths in the US."
What is the value of the correlation coefficient between year and number of firearm deaths? (Answer to 3 decimal places)
How many degrees of freedom does your data have?
What is the critical value of your test statistic?
Is there evidence of a significant trend in firearm deaths over this period?