A student takes a 10 question multiple choice quiz- each question having 4 choices. Suppose a student randomly picks an answer for each question. Find the following. Use the following Desmos Applet and a binomial distribution to answer question https://www.desmos.com/calculator/xwe9ywwjik A) How many ways could student get 2 out of the 10 questions correct? Choose... B) If student got 4 questions correct, what is the percentage student got on test? Choose... C) What is the most likely number of questions that the student will get correct on the exam? Choose... D) What is the chance (as a percentage) that student gets exactly 2 questions correct? Choose... E) What is the chance (as a percentage) that student gets 4 or fewer questions correct? Choose...E) What is the chance (as a percentage) that student gets 4 or fewer questions correct? F) What is the chance (as a percentage) that student gets more than 4 questions correct? G) Would it be considered unusual for student to get more than 4 questions correct on quiz? Choose... Choose... Choose... AA '7 Choose... 94 3 28 92 8 Yes, the chance of getting more than 4 questions correct is less than 5% 2 16 50 6 No, the chance of getting more than 4 questions correct is more than 5% Yes, the chance of getting more than 4 questions correct is less than 10% 96 40 97 45Determine the z-critical value associated with each of the following confidence intervals. Hint: Using the link to the tool provided, select two tails and find the z-score associated with a certain probability (area in tails) corresponding to a particular confidence interval. For instance for a 80% confidence interval you would enter in a 0.20 area or probability because that is the area in the two tails. You can leave the mean as 0 and standard deviation as 1 in the tool when calculating z- critical values. Each z-critical value is rounded to 2 decimal places. https://www.webassign.net/csalt/index.html#/toolset/distributions A) A 99% confidence interval 2.58 B) A 95% confidence interval 1.96 C) A 90% confidence interval 1.64 D) An 80% confidence interval 1.28\fConstruct a 95% condence interval for the number of toys that are from china in a random sample of 210 toys. It is estimated that 70% of all the world's toys come from china. Use the following Desmos Applet to help answer question https://www.desmos.com/calculator/xwe9ywwjik A) What would be the zcritical value? (two decimal places) 1.96 :9 B) What is the standard error or standard deviation (Sigma value)? 253 :9 C) What is the margin of error? (Round to nearest whole number) 6.64 :9 D) What is the expected number of toys in random sample of 210 toys? 147 :9 E) What is the upper limit of confidence interval? 153 :9 F) What is the lower limit of confidence interval? 134 :9 VV The CDC initially reported that the effectiveness of the Moderna Vaccine in preventing Covid-19 (after a second shot and two months time) could be given by the 95% condence interval (.893, .967). Answer the following relating to this condence interval. A) What would be the sample proportion (point estimate) of those in Moderna's clinical trial for which the vaccine was deemed effective in preventing Covid19? (Base answer on the Confidence Interval) B) What would be the margin of error associated with the confidence interval? C) What would be the critical 2 value associated with the 95% confidence interval? D) What is the Standard error (standard deviation) associated with point estimate? E) If a 90% confidence interval was calculated what would be the new margin of error? (Hint: use the critical 2 value associated with 90% confidence interval and the standard error associated with point estimate) F) Will the 90% confidence interval be wider or narrower than the 95% confidence interval? 0.93 c: 0.037 c: 1.96 :6 0.019 c: 0.031 c: Narrowelcc \fDue to customer complaints, a manufacturer of tortilla chips sends a researcher to 5 randomly chosen stores to test the percentage of chips that are broken in 5 randomly chosen bags of chips. The researcher found that 23% of the 800 chips tested were broken. The researcher calculated the 95% condence interval to go from 20% to 26%. Decide which of the following statements are accurate. Select one or more: a. We are 95% certain that the actual (average) percentage of broken tortilla chips in bags made by this manufacturer is between 20% and 26%. b. 23% Represents a Sample Statistic '_ c. The Margin of Error for condence interval is 3%. d. We expect that 95% of the bags of chips made by this manufacturer will have between 20% and 26% broken chips. e. The Standard Error for condence interval is 3%. f. 23% represents a population parameter 9. Approximately 20% to 26% of all bags of chips made by this manufacturer contain broken tortilla chips A poll agency reports that 36% of teenagers aged 12 to 17 owned smartphones. Suppose a simple random sample of 110 teenagers is drawn from the population. You may assume the sampling distribution is normally distributed. https://www.webassign.net/csalt/index.html#/toolset/distributions A) Suppose a sampling distribution for sample proportions was going to be created using 0.36 as the population proportion and 110 as the sample size. What would be the standard deviation(error) associated with distribution? 0.046 B) In a sample of 110 students what would be the probability that less than 32% of teenagers owned smartphones? 0.19 C) In a sample of 110 students what would be the probability that more than 50% of teenagers owned smartphones? 0.0012 D) How many standard deviations away from the population proportion is a sample proportion of 0.50? 3.04 E) In General, how many standard deviations would a sample proportion need to be from the population proportion to be considered unusual? 2 F) Would it be unusual for more than half of the teenagers in a sample of 110 teenagers to have smart phones? Yes