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le L-lit View History Bookmarks Tools Help https /utah. nstructure.com Dashboard Groups Help Ea c izations used in biogeography Matched-pairs test, directional, classical thesis testing method The impact assessment committee of the Intermountain National Park Service Region is concerned about increased vehicle traffic in Utah's 5 national parks. Data collected from 1996 and 2016 show the total traffic counts for each park. Use classical hypothesis testing and the data below to determine if there has been a statistically significant increase in the number of vehicles entering Utah national parks over this 20 year period at the 99% confidence level (Hints: 1) one tailed test, 2) matched-pairs t-test.) Number of vehicles Number of vehicles Park entering park (1996 entering park (2016 581,059 Arches 309,783 Capitol Reef 426,989 759,258 Bryce Canyon 468.887 625,828 1,401,513 Zion 919,516 Canyonlands 176,407 308,545 What decision is made regarding the null hypothesis? (Do you "reject" or fail to reject" the null hypothesis 3/8/2017

Explanation / Answer

Here we will use Two sample t test:

Using Minitab :

Two-Sample T-Test and CI: No Of vhicles(1996), No. of Vehicles(2016)

Two-sample T for No Of vhicles(1996) vs No. of Vehicles(2016)

N Mean StDev SE Mean
No Of vhicles(1996) 5 460316 280764 125561
No. of Vehicles(2016) 5 735241 406912 181976

Difference = (No Of vhicles(1996)) - (No. of Vehicles(2016))
Estimate for difference: -274924
95% CI for difference: (-797720, 247872)
T-Test of difference = 0 (vs ): T-Value = -1.24 P-Value = 0.254 DF = 7

Here P-value > 0.05 so we do not reject or Fail to reject the null hypthesis.

Hope this will helpful you. Thanks :-)

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