Step 6: Reject Ho or Failed to Reject HoStep 7: Conclusion The school registrar estimates that the dropout rate of senior high schools in Cavite is75%. Last year, 70 freshmen from a random sample of 200Cavite senior highschoolwithdrew. At what extent it is there enough evidence to reject the registrar's claim?Step 1: State the hypotheses.Step 2: The level of significance, one/two-tailed test, degrees of freedomStep 3: Statistical TestStep 4: ComputationStep 5: Decision Rule

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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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A recent report from the Pew Research Center indicates that even teens think they have a problem being too attached to their phones. A total of 365 teenage girls and 378 teenage boys were surveyed. Of the teenage girls surveyed, 171 reported feeling too attached to their phone. Of the teenage boys surveyed, 132 reported feeling too attached to their phone. Is there convincing statistical evidence of a difference between the two population proportions at the significance level of 0.01? (A) Yes, because the sample proportions are different. (B) Yes, because the p-value is less than 0.01. (C) Yes, because the p-value is greater than 0.01. (D) No, because the p-value is less than 0.01. (E) No, because the p-value is greater than 0.01.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 98% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ___ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ___ households
1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. a. Define the population proportion to be tested and write the null and alternative hypotheses. b. Check the conditions required for the test.
A home improvement company is interested in improving customer satisfaction rate from the 51% currently claimed. The company sponsored a survey of 272 customers and found that 150 customers were satisfied. Determine whether sufficient evidence exists that the customer satisfaction rate is different than the claim by the company.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p= 0.23. Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households Question Help: Video Message instructor Submit Question
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.225p . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.23 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. households
Some people are concerned that new tougher standards and high stakes tests adopted in many states may drive up the dropout rate. The National Center for Education Statistics reported that the high school dropout rate for the year 2000 was 10.9%. One school district, whose dropout rate has always been very close to the national average, reports that 210 of their 1782 students dropped out last year. Use this sample data and a 0.05 significance level to test the claim that the national high school dropout rate is now greater than 10.9%. the p values: initial conclusion: a final conclusion about the original claim:
The school registrar estimates that the dropout rate of senior high schools in Cavite is 47%. Last year, 187 freshmen from a random sample of 10 Cavite senior high school withdrew. At 5% significance level, is there enough evidence to reject the registrar's claim? Step 1: State the hypothesesStep 2: The level of significance, one/two-tailed test, degrees of freedom (if applicable)Step3: Statistical TestStep 4: ComputationStep 5: Decision RuleStep 6: Reject null hypothesis or failed to rejectStep 7: Conclusion
This question uses information from the previous question. At 5% significance level, carry out a test to investigate if employment sector makes any difference to the amount of paternity leave taken.You need to: 1. define new notation (if any), 2. briefly justify your testing procedure, 3. state the hypotheses, 4. calculate the test statistic and show steps of derivation, 5. use the p-value approach, 6. make a decision for the test and briefly explain.

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