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About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys 100 artists and finds that 11 of them are left-handed. If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: p = 0.10 and H: p > 0.10. The sample result was that 11 artists of 100 surveyed (or 11%) are left- handed. (a) From the given information, do we know if the conditions necessary to use a z-statistic for this test are met? Explain. We are not sure the sample was selected randomly, the sample size is V large enough because both np and n(1 - p) are greater than or equal to v 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population of interest is artists . The population parameter is p = | the proportion of artists who are left handed The sample statistic is 11 (c) Conduct a hypothesis test using level of significance a = 0.05. Clearly give the details of the five steps. Be sure to write a conclusion. Set up the null and alternative hypothesis. Ho: P=v 0.1 H: p 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) z = 2.67 Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-v Do not reject the null hypothesis vy because the p-value is greater make a conclusion for this situation. than 0.05. Write a conclusion to this situation in words. We cannot conclude that artists are more likely to be left-handed than people in the general population.

About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys 100 artists and finds that 11 of them are left-handed. If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: p = 0.10 and H: p > 0.10. The sample result was that 11 artists of 100 surveyed (or 11%) are left- handed. (a) From the given information, do we know if the conditions necessary to use a z-statistic for this test are met? Explain. We are not sure the sample was selected randomly, the sample size is V large enough because both np and n(1 - p) are greater than or equal to v 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population of interest is artists . The population parameter is p = | the proportion of artists who are left handed The sample statistic is 11 (c) Conduct a hypothesis test using level of significance a = 0.05. Clearly give the details of the five steps. Be sure to write a conclusion. Set up the null and alternative hypothesis. Ho: P=v 0.1 H: p 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) z = 2.67 Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-v Do not reject the null hypothesis vy because the p-value is greater make a conclusion for this situation. than 0.05. Write a conclusion to this situation in words. We cannot conclude that artists are more likely to be left-handed than people in the general population.

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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About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys 100 artists and finds that 11 of them are left-handed. If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: p = 0.10 and H: p > 0.10. The sample result was that 11 artists of 100 surveyed (or 11%) are left- handed. (a) From the given information, do we know if the conditions necessary to use a z-statistic for this test are met? Explain. We are not sure the sample was selected randomly, the sample size is V large enough because both np and n(1 - p) are greater than or equal to v 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population of interest is artists . The population parameter is p = | the proportion of artists who are left handed The sample statistic is 11 (c) Conduct a hypothesis test using level of significance a = 0.05. Clearly give the details of the five steps. Be sure to write a conclusion. Set up the null and alternative hypothesis. Ho: P=v 0.1 H: p 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) z = 2.67 Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-v Do not reject the null hypothesis vy because the p-value is greater make a conclusion for this situation. than 0.05. Write a conclusion to this situation in words. We cannot conclude that artists are more likely to be left-handed than people in the general population.
Transcribed Image Text:About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys 100 artists and finds that 11 of them are left-handed. If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: p = 0.10 and H: p > 0.10. The sample result was that 11 artists of 100 surveyed (or 11%) are left- handed. (a) From the given information, do we know if the conditions necessary to use a z-statistic for this test are met? Explain. We are not sure the sample was selected randomly, the sample size is V large enough because both np and n(1 - p) are greater than or equal to v 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population of interest is artists . The population parameter is p = | the proportion of artists who are left handed The sample statistic is 11 (c) Conduct a hypothesis test using level of significance a = 0.05. Clearly give the details of the five steps. Be sure to write a conclusion. Set up the null and alternative hypothesis. Ho: P=v 0.1 H: p 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) z = 2.67 Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-v Do not reject the null hypothesis vy because the p-value is greater make a conclusion for this situation. than 0.05. Write a conclusion to this situation in words. We cannot conclude that artists are more likely to be left-handed than people in the general population.
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