A survey asked 1578 US residents: "Do you think the use of marijuana should be made legal, ornot?". 61% of respondents said it should be made legal. A newscaster said of this story that "amajority of Americans think marijuana should be legalized". Using R Studio: Use hypothesistesting to see if this newscaster's statement is justified.

Given that total sample size (n) = 1578 Proportion of respondents who think that marijuana should be…

Answered: A survey asked 1578 US residents: "Do…

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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At the end of many college courses, students are asked to rate the course. The school administration is interested in whether the rating for the course is independent of the reason for taking the course. Perform a hypothesis test at the 5% level of significance. Fill in the expected counts in the chart. Excellent Good Fair Poor Course Required 24 16 22 46 Course Elective 18 10 16 56
A politician believes that 60% of constituents are in favor of a particular issue. She takes a sample of 100 constituents and finds that 55 favor the issue. If you were to conduct a hypothesis test of this claim, what would be the decision rule?
Fear of the dark is quite common among children. However, what about adults? One polling agency released the results of a survey that asked people over 30 years old if they keep the lights on at night. Among 452 respondents, 34% indeed leave the light on when going to sleep. What does this margin of error tell you about the percentage of adults who keep the lights on at night? We can be 95% confident that somewhere between % and % of adults keep the lights on at night.
A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1% level of significance, what is an appropriate conclusion? Solve the following problems using the steps in conducting hypothesis tests.
Hypothesis Test: Perform the specified hypothesis test. Be sure to include your statistical andin-context conclusion statements. In 1994, 52% of parents with children in high school felt it was a serious problem that high schoolstudents were not being taught enough math and science. A recent survey found that 512 of 1000 parentswith children in high school felt it was a serious problem that high school students were not being taughtenough math and science. Do parents feel different today than they did in 1994? Use the α = 0.005significance level.
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0 H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…
According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Part (i) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I. Viewing Saved Work…
Perform a hypothesis proportion test for the number of iPhone users on Verizon and AT&T for the following data. Over a 2 day period, recording the number of phone customers for AT&T and Verizon, there were a total of 47 total Verizon customers. 29 of those 47 opened an apple iPhone. For AT&T, there were a total of 41 customers. 22 of those 41 owned an apple iPhone.
Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation. Do we reject, or fail to reject, the null hypothesis?
Internet Doctors: Hypothesis Test Use the survey results given in Exercise 1 and use a 0.05 significance level to test the claim that the majority of adults learn about medical symptoms more often from the Internet than from their doctor.
hypothesis testing is the topic

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