The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that oneof the recycling centers has been relocated. If 112 out of a random sample of 200 residents in the community said they recycle, is there enough evidence tosupport the policy maker's claim at the 0.01 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.Ho :DH₁:0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the critical value. (Round to three or more decimal places.)0(e) Is there enough evidence to support the policy maker's claim that theproportion of residents who recycle is less than 60%?OYes NoPXaSX00Рローロ OSO 020OSEspañol?區1As

Given that Sample size n =200 Favorable cases x =112 Sample proportion p^=x/n =112/200 =0.56…

Answered: The proportion p of residents in a…

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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GSS 2018 respondents were asked to rate their level of agreement to the statement, “Differences in income in America are too large.” Responses were measured on a 5-point scale: 1 = strongly agree, 2 = agree, 3 = neutral, 4 = disagree, and 5 = strongly disagree. Strong Democrats had an average score of 1.69 (s = 1.04, N = 86) while strong Republicans had an average score of 2.11 (s = 1.05, N = 67). The estimated standard error of the difference between meansis 0.17. What is the appropriate test statistic? Why? Test the null hypothesis with a one-tailed test (strong Democrats are more likely to agree with the statement than strong Republicans); α = .05. What do you conclude about the difference in attitudes for these two political groups? If you conducted a two-tailed test with α = .05, would your decision have been different?
You may need to use the appropriate appendix table or technology to answer this question. In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation ? = $1,000. (a) State the null and alternative hypotheses. H0: ? < 3,173 Ha: ? ≥ 3,173 H0: ? = 3,173 Ha: ? ≠ 3,173 H0: ? > 3,173 Ha: ? ≤ 3,173 H0: ? ≥ 3,173 Ha: ? < 3,173 H0: ? ≤ 3,173 Ha: ? > 3,173 (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to two decimal places.) What is…
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem-and-leaf plot. In 2019, 147,400 eighth-graders were in the NAEP sample for the mathematics test. The mean mathematics score was x = 282. We want to estimate the mean score u in the population of all eighth-graders. Consider the NAEP sample as an 40. SRS from a Normal population with standard deviation o = O Macmillan Learning Information about the NAEP test can be found online at https://www.nationsreportcard.gov. If we take many samples, the sample mean varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score u in the…
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You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering. The proportion of customers that receive their packages within two days of ordering are given below. 0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 Explain why all of the sample proportions are not the same.
Solve quickly please
When a researcher changes their data analyses to get the p-value they desire, that is known as a. HARKing b. p-hacking c. multiple comparisons d. a Type II error
The picture is attached. If it is not clear, the shaded region of the graph represents 5%. Thanks in advance.
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?
For effective learning, an instructor advised his students to practice solving statistical problems on StatCrunch, a web-based software, at least 7 hours per week. In an in class activity, a student surveyed 15 of her 35 classmates to assess the number of hours they spend per week practicing statistics on StatCrunch. The following data was collected: 6.5, 4, 3.5, 0, 12, 5, 12, 15, 12, 0, 1, 8, 0.5, 2, 7. Is there strong evidence that the mean number of hours of StatCrunch usage in the entire class is larger than 7? Let the confidence level be 95% Use Microsoft excel to do the following. State the hypothesis Construct one sample t-test. Provide the table from excel Draw the rejection region from excel What is the p-value? Conclusion is the hypothesis rejected pr not?

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