In: Statistics and Probability
Per the Oregon Secretary of State website: A trademark is any word, phrase, symbol, design or combination thereof that identifies and distinguishes one source of goods or services from another. A trademark is used to help establish and protect intellectual property rights, including a business name. 2 The goal of this Part is to see if we can conclude if more than 80% of active registered trademarks in the state of Oregon are from Oregon based entities. The data file can be found in Moodle under the “Data Sets” portion of the “Misc” section. It is named Trademarks 1.1 Getting Started 1.1.1 Motivating Question In 1.1, we will try to answer the question: What procedures should be used given the goal in the Introduction for Part 1? 1.1.2 Parameter 1) Describe, in context, the parameter of interest. 2) Describe, in context, the statistic of interest. 3) Give the value of the statistic. Round to two decimal places. 1.1.3 Procedures 1) Based on your answers to problems 1)-3) in 1.1.2, which procedures are appropriate to use and why? 2) For each procedure listed in problem 1), what is its purpose? 1.1.4 Wrap-Up 1) Answer the motivating question in 1.1.1
Data Set: 46021,2016,4,SALEM,OR,97301 46035,2016,4,PORTLAND,OR,97219 46074,2016,4,NAPLES,FL,34110 46154,2016,4,CORVALLIS,OR,97339 46212,2016,4,PORTLAND,OR,97205 46216,2016,4,MCMINNVILLE,OR,97128 46219,2016,4,BRECKENRIDGE,CO,80424 46239,2016,4,TIGARD,OR,97223 46247,2016,4,SEATTLE,WA,98112 46254,2016,4,EUGENE,OR,97402 46256,2017,3,PORTLAND,OR,97225 46261,2017,3,SHERWOOD,OR,97140 46298,2017,3,MEDFORD,OR,97501 46303,2017,3,MOLALLA,OR,97038 46329,2017,3,REDMOND,OR,97756 46370,2017,3,HILLSBORO,OR,97124 46389,2017,3,EUGENE,OR,97440 46406,2017,3,PORTLAND,OR,97209 46487,2017,3,WEST LINN,OR,97068 46533,2017,3,PORTLAND,OR,97205 46648,2017,3,HEBO,OR,97122 46688,2017,3,BEND,OR,97702 46691,2017,3,WILSONVILLE,OR,97070 46723,2017,3,PORTLAND,OR,97214 46724,2017,3,CHICAGO,IL,60646 46814,2017,3,PORTLAND,OR,97214 46834,2017,3,GRANTS PASS,OR,97526 46840,2017,3,SEATTLE,WA,98104 46842,2017,3,PORTLAND,OR,97214 46873,2017,3,PORTLAND,OR,97214 46914,2017,3,PORTLAND,OR,97201 46942,2017,3,SEATTLE,WA,98101 46951,2017,3,LAKE OSWEGO,OR,97034 47039,2017,3,SHERWOOD,OR,97140 47073,2018,2,PORTLAND,OR,97239 47108,2018,2,BEAVERTON,OR,97007 47149,2018,2,SEATTLE,WA,98104 47204,2018,2,DALLAS,TX,75201 47210,2018,2,PORTLAND,OR,97204 47222,2018,2,PORTLAND,OR,97201 47223,2018,2,NEOTSU,OR,97364 47274,2018,2,CLACKAMAS,OR,97015 47285,2018,2,JACKSONVILLE,OR,97530-1570 47366,2018,2,PORTLAND,OR,97205 47434,2018,2,IRVINE,CA,92612 47480,2018,2,CENTRAL POINT,OR,97502 50022,2018,2,SALEM,OR,97308 50061,2018,2,MILWAUKIE,OR,97222 50084,2018,2,PORTLAND,OR,97221 50086,2018,2,PORTLAND,OR,97221 50097,2018,2,PORTLAND,OR,97232 50138,2018,2,DENVER,CO,80216 50167,2018,2,PORTLAND,OR,97210 50227,2019,1,PORTLAND,OR,97227 50238,2019,1,NEOTSU,OR,97364 50303,2019,1,PORTLAND,OR,97204 50306,2019,1,WOODBURN,OR,97071 50310,2019,1,PORTLAND,OR,97201 50319,2019,1,STAMFORD,CT,06905-5619 50334,2019,1,IRVINE,CA,92612 50344,2019,1,COOS BAY,OR,97420 50363,2019,1,ATLANTA,GA,30326 50369,2019,1,SALEM,OR,97301 50441,2019,1,LOS ANGELES,CA,90067 50448,2019,1,CYNWYD,PA,19004 50471,2019,1,ST. LOUIS,MO,63105-3433 50479,2019,1,CLACKAMAS,OR,97015 50529,2019,1,KLAMATH FALLS,OR,97603 50564,2019,1,SALEM,OR,97301 50585,2019,1,NEW YORK,NY,10017 50659,2019,1,TROUTDALE,OR,97060 50705,2019,1,PORTLAND,OR,97470 50726,2019,1,BELLEVUE,WA,98005 50744,2019,1,REDMOND,OR,97756 50804,2020,0,PORTLAND,OR,97204
1.1.2
In this question we are given about the the various entities that have been the state of Oregon.
We need to find the proportion of the registered entities which are from OR.
For we check the STATE column in the data, and count all the number of times OR occurs
We see that 57 out 75 registration are from OR.
Hence the proproption is 57/75 = 0.76
1. Parameter of interest - In all the entities registered in state of Oregon, the proportion of the registered entities which are from OR
2. Statistics of interest - In the given sample proportion of the registered entities which are from OR
2. Statistics = 0.76
1.1.3
For this question we need to test the hypothesis if more than 80% of active registered trademarks in the state of Oregon are from state of Oregon or not.
Hence we need to use a one sample proportion ztest to test the hyothesis. THe hypothesis is shown in detail below.
Hence there is no sufficient evidence to support the claim that more than 80% of active registered trademarks in the state of Oregon are from state of Oregon