## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

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.