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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,

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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 makers of 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 can score the top ranking of "light speed" is less than 18%. A random sampl_e of 115 professional athletes is chosen, and 15 score a ranking of "light speed" while using 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 the proportion of all professional athletes who can score a ranking of "light speed" is less than 18%. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use for the test. 0:] (b) For your hypothesis test, you will use a and 11(1 -p)2 10 under the assumption that the null hypothesis np=D n(1-p)=D P 6

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