Photon is a training device that is designed to improve a user's reaction time. Similar devices have been criticized for being too easy to master, but the makersof Photon say that their device is built to give most users room to improve. The makers say that even among professional athletes, the proportion, p, who canscore the top ranking of "light speed" is less than 18%. A random sample of 115 professional athletes is chosen, and 15 score a ranking of "light speed" whileusing the device.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that theproportion of all professional athletes who can score a ranking of "light speed" is less than 18%.(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.OロH:ロ=ロローロ(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10and n (1-p)> 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.пр-npn(1-p) = ] (c) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.• The value of the test statistic is given byp(1-p)• The p-value is the area under the curve to the left of the value of the test statistic.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed0.3Step 2: Enter the test statistic.(Round to 3 decimal places.)02+Step 3: Shade the area represented bythe p-value.0.1Step 4: Enter the p-value.(Round to 3 decimal places.)

Given that Sample size n =115 Favorable cases x =15 Sample proportion p^=x/n =15/115 =0.1304

Answered: Photon is a training device that is…

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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The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 17.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 17.8 cm, what is the single value that is the best predicted height for that person? Click the icon to view the technology output. The single value that is the best predicted height is (Round to the nearest whole number as needed.) cm. Technology Output The regression equation is Height = 53.3+4.25 Foot Length Predictor Constant Coef SE Coef 53.28 11.44 Foot Length 4.2537 0.4699 S = 5.50739 R-Sq=72.3% R-Sq (adj) = 71.6% T 4.66 9.05 Predicted Values for New Observations New Obs 1 Fit SE Fit 128.996 1.733 (124.309, 133.683) 95% CI Foot New Obs Length 1 17.8 0.000 0.000 Values of Predictors for New…

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