Answer
Yes.
Work Step by Step
a. State the hypotheses and identify the claim.
$H_o:$ there is not sufficient evidence to conclude that a relationship exists.
$H_a:$ there is sufficient evidence to conclude that a relationship exists.
b. Find the critical value(s).
$\alpha=0.05, n=4, df=3, \chi^2_c=7.815$
c. Compute the test value.
Calculate the expected values using the formula
January 36.2394015 21.99501247 12.98753117 12.77805486
February 21.13965087 12.83042394 7.57605985 7.453865337
March 115.6209476 70.17456359 41.43640898 40.7680798
and calculate $\chi^2=\sum\frac{(O-E)^2}{E}=52.45$
d. Make the decision.
$\chi^2>7.815$ we reject the null hypothesis.
e. Summarize the results.
At α= 0.05. there is sufficient evidence to conclude
that a relationship exists between the month and year in
which the tornadoes occurred.
