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Trisha Mae B. Ebon StatisticsBSA 2-1 Module 2Activities/Assessments:I. Determine if the source would be a primary or a secondary source. Government Records – Primary Source Dictionary – Secondary Source Artifact – Primary Source A TV show explaining what happened in Philippines – Secondary Source Au...

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Trisha Mae B. Ebon

Statistics

BSA 2-1

Module 2

Activities/Assessments: I.

Determine if the source would be a primary or a secondary source.

1. Government Records – Primary Source 2. Dictionary – Secondary Source 3. Artifact – Primary Source 4. A TV show explaining what happened in Philippines – Secondary Source 5. Autobiography about Rodrigo Duterte – Primary Source 6. Enrile diary describing what he thought about the world war II – Primary Source 7. Audio and video recordings – Primary Source 8. Speeches – Primary Source 9. Newspaper – Secondary Source 10. Review Articles – Secondary Source

II.

Determine the sample size of the following problems. Show your solution.

1. A dermatologist wishes to estimate the proportion of young adults who apply sunscreen regularly before going out in the sun in the summer. Find the minimum sample size required to estimate the proportion with precision of 3%, and 90% confidence.

2. The administration at a college wishes to estimate, the proportion of all its entering freshmen who graduate within four years, with 95% confidence. Estimate the minimum size sample required. Assume that the population standard deviation is σ = 1.3 and precision level is 0.05.

3. A government agency wishes to estimate the proportion of drivers aged 16–24 who have been involved in a traffic accident in the last year. It wishes to make the estimate to within 1% error and at 90% confidence. Find the minimum sample size required, using the information that several years ago the proportion was 0.12.

4. An internet service provider wishes to estimate, to within one percentage error, the current proportion of all email that is spam, with 85% confidence. Last year the proportion that was spam was 71%. Estimate the minimum size sample required if the total email that is spam is 10,000.

III.

Determine the type of sampling. (ex. Simple Random Sampling, Purposive Sampling)

1. To determine customer opinion of its boarding policy, Southwest Airlines randomly selects 60 flights during a certain week and surveys all passengers on the flights. ANSWER: Simple Random Sampling 2. A member of Congress wishes to determine her constituency’s opinion regarding estate taxes. She divides her constituency into three income classes: low฀income households, middle-income households, and upperincome households. She then takes a simple random sample of households from each income class. ANSWER: Stratified Random Sampling 3. The presider of a guest฀lecture series at a university stands outside the auditorium before a lecture begins and hands every fifth person who arrives, beginning with the third, a speaker evaluation survey to be completed and returned at the end of the program. ANSWER: Systematic Random Sampling 4. 24 Hour Fitness wants to administer a satisfaction survey to its current members. Using its membership roster, the club randomly selects 40 club members and asks them about their level of satisfaction with the club. ANSWER: Simple Random Sampling

5. A radio station asks its listeners to call in their opinion regarding the use of U.S. forces in peacekeeping missions. ANSWER: Convenience Sampling 6. A tax auditor selects every 1000th income tax return that is received. ANSWER: Systematic Random Sampling 7. For a survey, a sample of municipalities was selected from every province in the country and included all child laborers in the selected municipalities. ANSWER: Multi-stage Sampling 8. To determine his DSL Internet connection speed, Shawn divides up the day into four parts: morning, midday, evening, and late night. He then measures his Internet connection speed at 5 randomly selected times during each part of the day. ANSWER: Stratified Random Sampling 9. A college official divides the student population into five classes: freshman, sophomore, junior, senior, and graduate student. The official takes a simple random sample from each class and asks the members opinions regarding student services. ANSWER: Stratified Random Sampling 10. In the game of lotto, 6 balls are selected from a container with 42 balls. ANSWER: Simple Random Sampling

IV.

Using proportional allocation, determine the sample size needed for every school. The total population of students is 10,679, and the minimum sample is 2,450.

School

Population per School

Sample

Antipolo National High

1.28 = 1,534

352

1.44 = 1,726

396

School Bagong Nayon National High School

Dela Paz National High

1.65 = 1,978

454

1.96 = 2,349

539

2.58 = 3,092

709

8.91 = 10,679

2,450

School Sta. Cruz National High School Tubigan National High School TOTAL...