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Try Again Your answer is incorrect. 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 16%. A random sample of 120 professional athletes is chosen, and 13 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 0.10 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%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: p = 0.16 OSO H: p = 0.16 Not Equal To (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 > 10 and n(1-p) z 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. np = 19,2 n(1-p) = 100.8 (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 by P(1-p) Explanation Recheck O2021 McGraw HR LLC All Rights Reserved. Terms of Use Privacy Conter Accessibe

Try Again Your answer is incorrect. 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 16%. A random sample of 120 professional athletes is chosen, and 13 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 0.10 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%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: p = 0.16 OSO H: p = 0.16 Not Equal To (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 > 10 and n(1-p) z 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. np = 19,2 n(1-p) = 100.8 (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 by P(1-p) Explanation Recheck O2021 McGraw HR LLC All Rights Reserved. Terms of Use Privacy Conter Accessibe

MATLAB: An Introduction with Applications
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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Try Again Your answer is incorrect. 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 16%. A random sample of 120 professional athletes is chosen, and 13 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 0.10 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%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Н: р — 0.16 OSO H: p = 0.16 D=0 Not Equal To (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 > 10 and n(1-p) z 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. np = 19.2 n(1-p) = 100.8 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. P-p • The value of the test statistic is given by P(1-p) Explanation Recheck 02021 McGraw Hill LLC. All Rights Reserved. Terms of Usc i Privacy Conter
Transcribed Image Text:Try Again Your answer is incorrect. 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 16%. A random sample of 120 professional athletes is chosen, and 13 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 0.10 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%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Н: р — 0.16 OSO H: p = 0.16 D=0 Not Equal To (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 > 10 and n(1-p) z 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. np = 19.2 n(1-p) = 100.8 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. P-p • The value of the test statistic is given by P(1-p) Explanation Recheck 02021 McGraw Hill LLC. All Rights Reserved. Terms of Usc i Privacy Conter
Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3- Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.544 0.2 Step 3: Shade the area represented by the p-value. 01- Area = 0.0615 Area - 0.0615 Step 4: Enter the p-value. (Round to 3 decimal places.) 0123 z= -1.544 2=1.544 (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made by the makers of the device. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that less than 16% of professional athletes can score the top-ranking of "light speed." O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that less than 16%o of professional athletes can score the top-ranking of "light speed." O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that less than 16% of professional athletes can score the top-ranking of "light speed." O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough Explanation Recheck O 2021 McGraw Hill LLC. Al Rights Reserved. Terms of Use Privacy Center arch %23
Transcribed Image Text:Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3- Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.544 0.2 Step 3: Shade the area represented by the p-value. 01- Area = 0.0615 Area - 0.0615 Step 4: Enter the p-value. (Round to 3 decimal places.) 0123 z= -1.544 2=1.544 (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made by the makers of the device. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that less than 16% of professional athletes can score the top-ranking of "light speed." O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that less than 16%o of professional athletes can score the top-ranking of "light speed." O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that less than 16% of professional athletes can score the top-ranking of "light speed." O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough Explanation Recheck O 2021 McGraw Hill LLC. Al Rights Reserved. Terms of Use Privacy Center arch %23
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