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, , who can score the top ranking of "light speed" is less than 16%. A random sample of 110 professional athletes is chosen, and 14 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 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 16% . earchStep 1: Select one-tailed or two-tailed.O One-tailedOTwo-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)Step 3: Shade the area represented bythe p-value.Step 4: Enter the p-value.(Round to 3 decimal places.)3Explanation2StCheckEPIC04(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim madeby the makers of the device.0.3+O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that less than 16% of professional athletes can score the top-ranking of "light speed."0.1-O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is notenough evidence to support the claim that less than 16% of professional athletes can score the top-ranking of "lightspeed."GO Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidenceto support the claim that less than 16% of professional athletes can score the top-ranking of "light speed."2X13NEXTXŚ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces 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 16%. A random sample of 110 professional athletes is chosen, and 14 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 0.10 level of significance, to support the claim that theproportion of all professional athletes who can score a ranking of "light speed" is less than 16%.(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho:H₁:np =0n(1-p) =pStandard Normal Distribution<□ExplanationDECheckX(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 ≥ 10and n (1-p) ≥ 10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing.EPICS(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 byXôEP-Pp(1-p)Đn• The p-value is the area under the curve to the left of the value of the test statistic.S>NZXTⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility6

a) The hypothesized proportion is 0.16.

Answered: Photon is a training device that is…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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, , who can score the top ranking of "light speed" is less than 16%. A random sample of 110 professional athletes is chosen, and 14 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 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 16% .