Activity 1: Proportion of undernourished children In a random sample of 500 children from Illinois, 143 were undernourished. Use these sample data to answer the following questions. A. Use the ve-step hypothesis testing procedure outlined below to determine if there is evidence that the proportion of all children in Illinois who are undernourished is different from 0.5. Use Minitab. If assumptions are met, use the normal approximation method. You should not need to do any calculations by hand, other than checking assumptions. Remember to include all relevant Minitab output and identify your answers to each step. D Question 11 5 pts Activity 2_A: Step 4: Decide to reject or fail to reject the null 12pt V Paragraph V B \fActivity 1_B: Construct a 95% condence interval to estimate the proportion of all children in Illinois who are undernourished. Show how you checked assumptions. If assumptions were met, use the normal approximation method. Remember to include all relevant Minitab output and to identify your answer. You should not need to do any calculations by hand, other than checking assumptions. 12pt V Paragraph V B Question 7 10 pts Activity 1_C: What sample size would be needed to construct a 95% condence interval to estimate the proportion of all children in Illinois who are undernourished with a margin of error of 16%? Use the observed sample proportion from the scenario as an estimate for the population proportion. You will need to do calculations by hand. Show all of your work using the equation editor. 12pt V Paragraph V B l_i** Question 13 15 pts Activity 2_B: Construct a 95% condence interval to estimate the mean travel cost by air. Remember to include all relevant Minitab output and to identify your answer. You should not need to do any calculations by hand. 12pt V Paragraph V B D Question 10 5 pts Activity 2_A: Step 3: Determine the p-value. 12pt V Paragraph BE} Question 8 5 pts Activity 2_A: Step 1: Check assumptions and write hypotheses. 12pt V Paragraph V B \fQuestion 1 5 pts Activity 1_A: Step 1: Check assumptions and write hypotheses. 12pt V Paragraph V B D Question 14 10 pts Activity 2_C: What sample size would be needed to construct a 95% confidence interval to estimate the average air travel cost for a college student with a margin of error of +$50? You will need to do calculations by hand. Show all of your work using the equation editor. 12pt V Paragraph BD Question 5 5 pts Activity 1_A: Step 5: State a "real world" conclusion. 12pt V Paragraph B 0 words > p . .D Activity 1_A: Step 4: Decide to reject or fail to reject the null. 12pt V Paragraph V B Activity L mportation Cost A researcher is studying the average cost of traveling for a college student. As part of their research, they would like to learn more about the average yearly money spent to travel to and from home by air. In a random sample of 130 students, the mean travel cost by air was $1180 with a standard deviation of $535. Use these sample data to answer the following questions. A. Use the fivestep hypothesis testing procedure outlined below to determine if there is evidence that the mean travel cost by air for a college student is different from $1500 yearly. Use Minitab to conduct a single sample mean ttest. You should not need to do any calculations by hand. Remember to include all relevant Minitab output and identify your answers to each step. D Question 12 5 pts Activity 2_A: Step 5: State a "real world" conclusion. 12pt Paragraph BD Question 3 5 pts Activity 1_A: Step 3: Determine the p-value. 12pt V Paragraph B 0 words > p