1.3 Hypothesis Tests (Tests of Significance) 1.3.1 Research Question: Hypothesis Tests In 1.3, we will try to answer the question. Is there evidence to suggest that the proportion of active registered trademarks in the state of Oregon, as of May
2^(nd )2024
, that are from Oregon based entities is greater than 0.75 ? 1.3.2 Hypothesis Test Perform a hypothesis test for
\alpha =.05
. You do not need to recheck the conditions. However, be sure to include your conclusion! Interpret the
p
-value you found in 1.3 in context. IF the conclusion in the test from 1.3 is incorrect, then what type of error occurred? 1.3.3 Wrap Up Answer the the research question in 1.3.1. 1.4 Final Remarks Based on the work that you have done for Part 1, what would you say about the "home" state of entities with active registered trademarks in Oregon? This is an instance where we actually have the value of the parameter. It is approximately 0.834 . (a) Is this consistent with your confidence interval in 1.2? Why or why not? (b) Is this consistent with the RESULTS of your hypothesis test in 1.3? Why or why not? \table[[Registration Number,Registration Date,Years Registered,Home State],[46760,
(8)/(25)/2017
,6.68,OR],[50426,
(5)/(23)/2019
,4.95,WA],[51635,
(7)/(21)/2021
,2.78,CA],[47286,5/2/2018,6,OR],[52069,
(6)/(30)/2022
,1.84,OR],[52667,
(9)/(8)/2023
,0.65,OR],[52317,
(1)/(25)/2023
,1.27,OR],[51711,
(9)/(24)/2021
,2.6,OR],[45382,
(10)/(20)/2015
,8.53,OR],[51111,8/19/2020,3.7,OR],[52730,10/27/2023,0.52,OR],[40690,
(11)/(26)/2008
,15.43,WA],[37969,
(9)/(15)/2004
,19.63,OR],[45524,
(1)/(5)/2016
,8.32,OR],[39811,
(3)/(19)/2007
,17.12,OR],[40326,2/25/2008,16.18,OR],[40857,
(4)/(30)/2009
,15.01,VA],[50620,
(8)/(14)/2019
,4.72,OR],[50316,
(3)/(8)/2019
,5.15,OR],[43291,6/17/2014,9.87,OR],[41677,4/11/2011,13.06,OR],[43654,
(3)/(10)/2015
,9.15,CA],[41094,10/29/2009,14.51,OR],[46028,
(9)/(20)/2016
,7.61,OR],[41713,
(4)/(28)/2011
,13.01,OR],[21006,8/4/1986,37.74,OR],[52153,
(10)/(4)/2022
,1.58,OR]] \table[[51070,
(7)/(22)/2020
,3.78,OR],[51044,7/1/2020,3.84,OR],[52974,4/4/2024,0.08,OR],[45782,
(5)/(18)/2016
,7.96,OR],[20040,4/23/1985,39.02,OR],[43438,
(10)/(22)/2014
,9.53,OR],[50989,
(5)/(29)/2020
,3.93,OR],[43544,
(1)/(6)/2015
,9.32,OR],[51931,4/1/2022,2.08,CA],[50787,
(12)/(17)/2019
,4.38,CA],[52577,
(6)/(12)/2023
,0.89,WA],[45583,
(2)/(11)/2016
,8.22,OR],[52836,
(1)/(25)/2024
,0.27,OR],[51525,
(5)/(10)/2021
,2.98,OR],[40669,
(11)/(5)/2008
,15.49,OR],[50427,5/7/2019,4.99,OR],[51093,8/6/2020,3.74,WA],[33556,7/7/1999,24.82,OR],[46992,
(11)/(28)/2017
,6.42,WA],[38681,
(8)/(31)/2005
,18.67,OR],[46045,
(10)/(18)/2016
,7.54,OR],[46113,
(10)/(21)/2016
,7.53,OR],[37760,
(5)/(18)/2004
,19.96,OR],[47001,
(12)/(5)/2017
,6.41,OR],[33834,10/20/1999,24.53,OR],[51233,
(11)/(5)/2020
,3.49,WA],[32078,
(11)/(28)/1997
,26.42,OR],[15633,
(1)/(27)/1984
,40.26,OR],[53001,4/19/2024,0.04,OR]] \table[[Registration Number,Registration Date,Years Registered,Home State],[45098,
(6)/(23)/2015
,8.86,OR],[50625,
(8)/(21)/2019
,4.7,OR],[38781,
(11)/(16)/2005
,18.46,OR],[50504,
(7)/(10)/2019
,4.81,IL],[45531,
(1)/(13)/2016
,8.3,WA],[24672,
(9)/(26)/1990
,33.6,OR]]