We are interested in checking if larger cities have higher rates of influenza than we would expect just from them being larger (Does a 1% increase in population result in a more than 1% increase in Influenza). We have a dataset with information on the number of flu cases, the population of the town and the average temperature in December. We get the following regression results
log(Influenza)=170.4 + 1.2log(city_population) - 0.03 Dec_temp
(17.3) (0.08) (0.001)
n=129, R^2= 34
Test if the elasticity (Coefficient on city population) of influenza with respect to population is one. Conduct a one sided test at the 1% level.
a. Please write out the null and alternative hypothesis for a one sided test
b. Compute the t-statistic and determine if it is statistically significant. Please include a picture.
c. Compute the p-value for the coefficient on population.