4.

X X U @ A random sample of my = 16 communities in western Kansas gave the following information for people under 25 years of age. *1: Rate of hay fever per 1000 population for people under 25 93 121 83 128 121 113 111 106 113 108 126 102 145 101 108 81 A random sample of 72 = 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 50 102 81 86 94 73 107 102 104 113 118 101 106 83 119 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. Will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level a? SHOW WORK REQUIRED: 1) Provide the null and alternative hypothesis. 2) State what kind of test and what tailed test it is. 3) Show the original formula of the test statistic. 4) Show the plugging in of the appropriate values. 5) Use the calculator to find the p value. STATE THE VALUE AND KEYSTROKES. Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis