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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A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. A. H0: H1: B. Suppose that the researcher decides to reject the null hypothesis. Would the research be making a type I or type II error?
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On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
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