4. [6] University officials hope that changes made have improved the retention rate. In 2018, a sample of2006 freshman showed that 1521 returned as sophomores. In 2019, 1598 of 2056 freshman sampledreturned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that retentionrate has improved.Show rejection regions withlabelled critical value(s)Но:Hi:Critical Value(s):Test Statistic:[Must state what test stat is being used (z, t, etc.) the formula being used, and what values aresubstituted into the formula for full credit. Simply writing a number will not earn credit] P-Value:State the conclusion of the test in the context of the problem (for example, not just "reject null", but whatdoes it mean for this specific problem):

Given Information: In the Year 2018; Total no. of freshman (n1)=2006No. of sophomores(a1)=1521 In…

Answered: 4. [6] University officials hope that…

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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Dean for student affairs of a small university is worried about students’ expenditure on internet expense during the period study from home since this Covid-19 outbreak. Especially she wants to know whether students of social sciences spend more compared to students from science and technology. As a quick and preliminary study, she collected a sample of 9 students from science and technology and 11 students from social sciences. Total spending for internet is in Rp0000 during the month of April 2029. The results are presented in the following table. Questions: 1. Explain whether you can or cannot use normal approach to the case. 2. Conduct the test by showing formal steps in hypothesis test (design, decision rule, statistical test, and conclusion) at α = 0.05
UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results for males are shown in the table below. The second column in the table does not add to 100% because of rounding.Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Men - Expected Major Men - Actual Major Art & Humanities 11.0% 600 Biological Sciences 6.7% 330 Business 22.7% 1,130 Education 5.8% 305 Engineering 15.6% 800 Physical Sciences 3.6% 175 Professional 9.3% 460 Social Sciences 7.6% 370 Technical 1.8% 90 Other 8.2% 400 Undecided 6.6% 340 Part (a)…
An accountant believes that the percentage of accounts that will be uncollectible increases as the ages of the accounts increase. Here the age of an unpaid account is the number of days elapsed since the invoice date. To test this theory, the accountant randomly selects independent samples of 500 accounts with ages between 31 & 60 days and 500 accounts with ages between 61 & 90 days from the accounts receivable ledger dated one year ago. When the sampled accounts are examined, it is found that 10 of the 500 accounts with ages between 31 & 60 days were eventually classified as "uncollectible", while 27 of the 500 accounts with ages between 61 & 90 days were eventually classified as "uncollectible". Let pi = proportion of accounts with ages between 31 & 60 days and p2 = proportion of accounts with ages between 61 & 90 days.
The culinary herb cilantro, Coriandrum sativum, is very polarizing: some people love it and others hate it. A genetic component is suspected in this phenomenon. A survey of American adults of European ancestry found that 1129 of 7295 women and 865 of 7309 men said that cilantro tastes soapy. We want to know if women and men in this population differ in how they perceive the taste of cilantro. What is the pooled sample proportion of women and men who say that cilantro tastes soapy? Conduct a hypothesis test, and state the test statistic and p-value and give the conclusion. How much differ? Construct a 95% confidence interval for the difference of the proportions of women and men who say that cilantro tastes soapy. Interpret your interval in the context.
Researchers wanted to know if therapy could help smokers quit smoking. Of the 71 smokers they tested, 39 were smoking one year after treatment. Use a 0.05 significance level to test the claim that the majority are smoking one year after treatment. What is/are the critical value(s)? ттT Arial 3 (12pt) v TE -E · -
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.38. Suppose a random sample of 105 traffic fatalities in a certain region results in 51 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.01 level of significance? Because npo (1 - Po 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) can be reasonably assumed to be random, What are the null and alternative hypotheses? is given to be random, cannot be reasonably assumed to be random, Ho: versus H,: (Type integers or decimals. Do not round.) is given to not be random, Find the test statistic, zo. Z0 = (Round to two decimal places as needed.) Find the P-value.…
Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 217 of the 671 couples from the study who lived together before they got married were divorced within five years of marriage. 132 of the 421 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the divorce rate…
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance? Because npo (1-Po) = 24.5 > 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? p = 0.34 versus H₁: p > 0.34 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, Zo. Zo = 2.62 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.
UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results for males are shown in the table below. The second column in the table does not add to 100% because of rounding.Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Men - Expected Major Men - Actual Major Art & Humanities 11.0% 600 Biological Sciences 6.7% 330 Business 22.7% 1,130 Education 5.8% 305 Engineering 15.6% 800 Physical Sciences 3.6% 175 Professional 9.3% 460 Social Sciences 7.6% 370 Technical 1.8% 90 Other 8.2% 400 Undecided 6.6% 340 Part (e) What…
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 7 trials of this experiment. 541, 800, 667, 362, 542, 667, 800 Send data to calculator (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. 1 2 (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: 0 O two modes: and ?

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