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According to a report, 30 percent of Malaysian graduates are unemployed. Among the field of study in general, non-science female graduates have a higher unemployment rate than science female graduates, but non-science male graduates have a low unemployment rate than science male graduates. An academician is curious to determine if the same pattern also exists in Kota Kinabalu. He randomly selects 320 non science graduates and 425 science graduates for the analysis. The following table contains the sample information:
a. Test if the proportion of unemployed non-science male graduates is 5 percent less than
the proportion of science male graduates at 10 percent significance level.
i. Specify the competing hypotheses of the test.
ii. Calculate the value of the relevant test statistic.
iii. Compute the p-value.
iv. At 5% significance level, does the proportion of unemployed non-science male
graduates is 5 percent less than the proportion of science male graduates?
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Gender
Male
Female
Unemployed
54
Employed
141
Non-Science
53
87
72
Science
Male
165
Female
43
130"
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- Suppose that a middle school is using two different teaching formats for their 6th grade math classes: In-Person and Online. At the end of the school year the 6th grade students are given a test where their math skills are scored as Excellent, Proficient, Needs Improvement, or At-Risk. The middle school collects the following data: Excellent Proficient Needs Improvement At-Risk (a) What was the sample size in this study? In Person 39 75 59 18 Online 11 51 6 15 (b) What percentage of the sample were students that took an In-Person class AND scored Excellent on their test? (c) What percentage of the sample were students that took an Online class OR scored Needs Improvement on their test? (d) Construct the conditional distribution based on teaching format. Which teaching format had the HIGHEST rate of At Risk scores? What was that rate? (f) Use the conditional distribution to give a one or two sentence argument for why In-Person classes seem to be the more successful teaching format. (g)…arrow_forwardIn 2015, Addison Group and Kelton surveyed the work preferences and attitudes of 1081 working adults spread over three generations-Baby Boomers, Generation X, and Millennials (Society for Human Resource Management website). One question asked individuals if they would leave their current job to make more money at another job. The file Millennials contains the sample data, which is also summarized in the following table. Click on the datafile logo to reference the data. DATA file Leave Job for More Money? Yes No Baby Boomer 137 213 Generation 7.85 What is the p-value? Use Table 3 of Appendix B. The p-value is between 0.005 and 0.01 Using a 0.05 level of significance, what is your conclusion? Conclude interest in leaving job for more money is not Generation X 171 199 Millennial 175 186 Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. Compute the value of the X² test statistic (to 2 decimals). Do…arrow_forwardIn the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 500 buses and find that 90 buses fail the safety inspection. Based on the new sample data, I construct this 90% confidence interval estimate for p: 152 < p < .208. Explain what this confidence interval means. O I am 90% sure that the number of buses that fail the inspection is between.152 and .208. O I am 95% sure that the true proportion of buses that fail the inspection is between .152 and .208. O I am 90% sure that the proportion of buses in this sample that fail the inspection is between .152 and .208. O I am 90% sure that the true proportion of buses that fail the inspection is between .152 and .208.arrow_forward
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- In order to estimate the proportion of students at a small liberal arts college who watch reality TV for more than 4 hours per week, a random sample of students at the school is selected and each is interviewed about his or her reality TV viewing habits. The students conducting the survey are worried that people that watch reality TV might be embarrassed to admit it and that they may not respond to the survey with honest answers. What type of bias are the students conducting the survey worried about? Measurement or response bias They shouldn't worry--there is no obvious source of bias. Selection bias Nonresponse biasarrow_forwardI need help with number 8, 4, and 5. Thank you so much :)arrow_forwardAccording the the U.S. Census bureau, the percentage of Santa Ana residents with a bachelor's degree or higher is 14% and the percentage of Irvine residents with a bachelor's degree or higher is 68.5%. Suppose that the sample sizes were 1000 for the Santa Ana group and 1000 for the irvine group. Is there enough evidence to conclude that people who live in Irvine have a higher level of education compared to people living in Santa Ana?arrow_forward
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