An association of Christmas tree growers in Indiana wants to know if there is a difference in preference for natural trees between urban and rural households. So the association sponsored a survey of Indiana households that had a Christmas tree last year to find out. In a random sample of 160 rural households, 64 had a natural tree. In a separate random sample of 261 urban households, 89 had a natural tree. A 95% confidence interval for the difference (Rural – Urban) in the true proportion of households in each population that had a natural tree is −0.036 to 0.154. Does the confidence interval provide convincing evidence that the two population proportions are equal? Explain your answer.