(b) The associate takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is z = 1.263 (rounded to three decimal places). Draw the appropriate figure for the test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 04 0.3- 0.2 Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (c) What is the result of the associate's hypothesis test? The null hypothesis is rejected. O The null hypothesis is not rejected. (d) If the true proportion of all people who experience nausea after taking the antibiotic is 23%, is the result from part (c) correct? O The result is correct. The result is incorrect. This is a Type I error. The result is incorrect. This is a Type II error. An associate at a law firm conducts a hypothesis test at the 0.05 level of significance to determine if the proportion, p, of all people who experience nausea after taking a certain antibiotic is greater than 12%. Here are the null hypothesis Ho, and the alternative hypothesis H₁ for the test. Hop-0.12 H₁: p>0.12 (a) The result of the associate's hypothesis test will be to either reject or not reject the null hypothesis, Ho. Based on whether Ho is in fact true or is in fact false, fill in the table below to indicate whether the result of the test is correct, a Type I error, or a Type II error. Ho is true Ho is false Reject Ho (Choose one) (Choose one) Do not reject Ho(Choose one) Type I error Type II error Correct (Choose one) 100

Please refer to image and answer!

For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration? (b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…

Which two points that Ethan plotted represent numbers that have a sum of 0?Show or explain how you got your answer.