A random sample of n1=16 communities in western Kansas gave the following information for people under 25 years of age. x 1 : Rate of hay fever per 1000 population for people under 25 123 125 106 133 108 96 121 102 102 121 122 98 122 145 109 121 A random sample of n 2 =14 regions in western Kansas gave the following information for people over 50 years old. x 2 : Rate of hay fever per 1000 population for people over 50 101 100 83 106 88 90 106 110 111 109 99 110 84 83 Assume that the hay fever rate in each age group has an approximately normal distribution. Assume also that the two populations have equal standard deviations for finding df; and that the t-value is 3.890. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a 5% level of significance. Find (or estimate) the P-value.