Question 1For the following scenarios provide the following:• the null and alternative hypotheses• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,• explain how you should interpret a decision that rejects the null hypothesis, andexplain how you should interpret a decision that fails to reject the null hypothesis.a. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricitybills are too high.b. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750days.c. Consumer Affairs has advised that the standard deviation of the fuel economies of itsHonda Civics for 2016 is no more than 10.7 miles per gallon.d. A meal supplement provider claims that the average difference in calories between twobrands is 55.Question 2The Medical Association of Trinidad and Tobago is interested in determining the impact of a newdrug on the cholesterol levels of women. Data was collected from 11 women diagnosed with highcholesterol. The data below shows the cholesterol levels before and after the drug wasadministered.Cholesterol Levels in mg/dLBefore 227 289 257 28 303 275 262 290 244 233 179After 134 240 230 186 265 242 242 281 240 212 215a. Calculate a 95% confidence interval for the mean cholestoral level (i) before drugand (ii) after drug.b. Test the hypothesis that the average cholesterol levels before and after administeringthe pill are equal for both mechanics are equal. Use the 1% level of significance.

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Answered: Question 1 For the following scenarios…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What are the null and alternative hypotheses? A. H0: BMD is dependent upon depression in elderly men. Ha: Depression is dependent upon BMD in elderly men. B. H0: Depression and BMD in elderly men are statistically independent. Ha: Depression and BMD in elderly men are statistically dependent. C. H0: Depression and BMD in elderly men are statistically dependent. Ha: Depression and BMD in elderly men are statistically independent. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the critical value. χ2α= (Round to three decimal places as needed.)
A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.
3. In 2010, the United Nations claimed that there was a higher rate of illiteracy in men than in women from the country of Qatar. A humanitarian organization tested reading ability in a random sample of Qataris. The results revealed that 45 out of 234 men and 42 out of 251 women were illiterate. Do these results indicate that the United Nations findings were correct? a. State your null and altenative hypotheses. b. If you pool the men and women together, what percent of the overall sample is illiterate? c. Calculate the standard error and draw and label the sampling distribution. d. Calculate a test statistic and P-value. e. Explain what your P-value means in this context. f. If a (alpha) = .1, what do you conclude?
Members of the Town of Colonie Golfers’ Loop frequently raise concerns to Mr. Lange, as its leader, about how the league is run. The most frequent concern raised is that the teams competing each week are not statistically even. In other words, members raise concerns that one or more teams have a statistical advantage over other teams. To evaluate the validity of these claims, Mr. Lange has decided to use a mix of statistical hypothesis tests discussed in this course to evaluate the teams from Outing #14 in calendar-year 2016 (2016, #14). One is the Equal Vari- ances F Test, one is Welch’s T Test, and the other is the 2-Sample T Test for Equal Means. In this particular outing, seven teams were competing for the win. A random sample of eight prior scores from each team member was collected, and the summary statistics are shown below (correct to three decimal places). team sample size sample mean sample variance 1 24 76.500 14.522 2 32 79.656 18.233…
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
A. Suppose we want to test whether or not three means are equal. We want to perform this test with a 8% significance level.If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding a Type I error)? B. Suppose we, instead, run three separate hypothesis tests (t-tests), each with 8% significance level. Mean 1 = Mean 2Mean 1 = Mean 3Mean 2 = Mean 3What is the probability that all three tests would be accurate? C. Why is an ANOVA test more accurate than 3 different tests?
You come across Professor Cafferty's data set from his Master's thesis and realize that he has data on types of family support that 26 homosexual men had during young adulthood (about 18-25 years old). You come across two questions where the respondent was asked if they would identify their family as religious and whether or not they received financial support from their family. Please complete the appropriate 8-step hypothesis test using the data below. Had Financial Support Did Not Have Financial Support Family Religious 3 12 Family Not Religious 6 5
Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, HA: p < 22% H0: p ≠ 0, HA: p = 0 H0: p = 22%, HA: p > 22% H0: p = 22%, HA: p ≠ 22% Suppose that the result is to Fail to reject H0.Which is the proper conclusion? There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. There is not enough information to answer this question. There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.
According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, H1: p ≠ 22% H0: p ≠ 0, H1: p = 0 H0: p = 22%, H1: p < 22% H0: p = 22%, H1: p > 22% Suppose that the result of the statistical is to reject H0.Which is the proper conclusion? There is not sufficient evidence to conclude that the students at his local schools have a smaller true proportion of obese students. There is sufficient evidence to conclude that the students his local schools have a smaller true proportion of obese students. There is not sufficient evidence to conclude that the students at his local schools have a smaller sample proportion of obese students. There is sufficient evidence to conclude that the…
A food store advertises that their checkout waiting times is four minutes or less. An angry customer wants to dispute this claim. He takes a random sample of shoppers at the peak time and records their checkout times. Can he dispute their claim at significance level 10%? Checkout times: 3.8, 5.3, 3.5, 4.5, 7.2, 5.1 Match the following steps in hypothesis testing. -Step 1 - ✓ Step 2 -✓ Step 3 - ✓ Step 4 -✓ Step 5 Step 6 A. Ho: p = 4 Ha: p 4 Ha: μ = 4 K. We fail to reject the null hypothesis. L. We reject the null hypothesis. M.t-1.6598 N. Ho: p = 4 Ha: > 4 4 O. HO: Ha: p4 P. Ho: 4 Ha: p = 4

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