D) based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? E) interpret your conclusion in the context of the application.

13. [0/4.17 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.020.5. MY NOTES ASK YOUR TEACHER A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 97 92 119 126 91 123 112 93 125 95 125 117 97 122 127 88 A random sample of no = 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 93 109 99 95 110 88 110 79 115 100 89 114 85 96 LA USE SALT (1) Use a calculator to calculate x1, $1, X2, and $2. (Round your answers to four decimal places.) X1= $1= X2 = (ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05. a) What is the level of significance? State the null and alternate hypotheses. HO: P1 = #2; H1: H1 # #2 HO: H1 > H2; H1: H1 = H2 o HO: H1 = H2i H1: H1 > #2 HO: H1 = H2; H1: H1 0.250 0.125