*1. A key factor in the world's economic condition is the population growth of regions. The accompanying data table contains data for all of the world's 232 regions. 1 Click the icon to view the data table. a. From this population, suppose a systematic random sample of every fifth region is selected starting with the fifth region on the list. From this sample, test the null hypothesis that the mean population growth between the years 1990 and 2000 is equal to 1.4%. Test using a = 0.10. b. Now compute the average population growth rate for all 232 regions in the data table. After examining the result of the hypothesis test in part a, what type of statistical error, if any, was committed? Explain your answer. a. Note that for the purposes of this exercise, the t-test will be used. State the appropriate null and alternative hypotheses. Choose the correct answer below. A. Ho: 21.4 HA: H 1.4 Calculate the test statistic of the sample data. t= (Round to two decimal places as needed.) Find the p-value of the sample data. p-value= (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. B. Ho: >1.4 HA: H 1.4 O E. Ho: #1.4 HA: H=1.4 OA. Do not reject the null hypothesis. There is not sufficient evidence at significance level a=0.10 to indicate that the mean population OB. Reject the null hypothesis. There is sufficient evidence at significance level = 0.10 to indicate that the mean population growth rat OC. Reject the null hypothesis. There is not sufficient evidence at significance level = 0.10 to indicate that the mean population growt! O D. Do not reject the null hypothesis. There is sufficient evidence at significance level = 0.10 to indicate that the mean population gro b. Find the population mean for the population growth rate. = (Round to three decimal places as needed.) What type of statistical error, if any, was committed? 1: Population growth rate OA. The systematic sample should start with the third region in the list instead of the fifth region. OB. The sample in part a is not a random sample. OC. Only the population data should be used for the hypothesis test. OD. No statistical error was made. Rank 1 2 3 Show your work below. 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Population growth rate (%) 9.37 4.36 4.12 3.85 3.59 3.33 3.28 3.28 3.24 3.13 3.05 3.00 2.91 2.89 2.88 2.88 2.81 2.80 2.78 2.77 2.71 2.71 2.63 2.63 2.61 2.60 2.58 2.54 2.52 2.49 2.49 2.48 2.47 2.45 2.38 2.36 2.33 2.30 2.29 2.25 2.23 2.23 2.23 2.19 2.17 2.13 2.11 2.07 2.06 2.05 2.01 1.99 1.96 1.94 1.93 1.93 1.92 1.92 1.92 1.91 Rank 61 62 63 64 65 66 67 68 69 70 71 72 73 HERRER SE 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 Population growth rate (%) 1.88 1.87 1.86 1.84 1.83 1.82 1.81 1.78 1.75 1.74 1.74 1.72 1.70 1.65 1.62 1.60 1.60 1.59 1.51 1.50 1.49 1.47 1.46 1.42 1.39 1.39 1.37 1.37 1.36 1.32 1.26 1.25 1.25 1.25 1.23 1.22 1.21 1.20 1.99 1.19 1.18 1.17 1.14 1.14 1.14 1.13 1.12 1.12 1.12 1.10 1.09 1.08 1.07 1.04 1.03 1.02 1.02 1.00 0.99 0.97 Rank 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 Population growth rate (%) 0.97 0.95 0.95 0.93 0.89 0.87 0.87 0.87 0.86 0.83 0.83 0.83 0.82 0.81 0.80 0.80 0.80 0.80 0.79 0.79 0.78 0.77 0.76 0.70 0.69 0.67 0.66 0.65 0.59 0.57 0.54 0.53 0.52 0.50 0.49 0.48 0.45 0.44 0.44 0.42 0.41 0.37 0.36 0.35 0.35 0.34 0.33 0.33 0.33 0.31 0.30 0.27 0.27 26.00 0.25 0.25 0.22 0.22 0.21 0.20 Rank 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 213 214 215 216 217 218 219 220 221 222 223 Population growth rate (%) 199 -0.03 200 -0.08 201 -0.09 202 -0.11 203 -0.11 204 -0.11 205 -0.11 206 -0.11 207 -0.12 208 -0.13 209 -0.13 210 -0.14 211 -0.18 212 -0.19 -0.21 -0.23 -0.28 -0.29 -0.29 -0.35 -0.42 -0.45 -0.48 -0.49 -0.56 -0.62 -0.65 -0.65 -0.68 -0.83 - 1.02 -1.15 - 3.00 -9.73 224 225 226 227 228 229 230 231 232 0.17 0.16 0.12 0.09 0.09 0.05 0.05 0.03 0.02 0.02 0.01 0.01 0.01 0.00 0.00 0.00 -0.01 -0.03