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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 150 artists and finds that 18 of them are left-handed. = 0.10 and H: p > 0.10. The sample result was that 18 artists of 150 surveyed (or If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: P 12%) 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 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 parameter is p = the proportion of artists who are left handed The population of interest is artists The sample statistic is (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 Ha: P 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-value, make a conclusion for this situation. because the p-value is ---Select--- v than 0.05. ---Select--- Write a conclusion to this situation in words. conclude that artists are more likely to be left-handed than people in the general population. We ---Select---

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 150 artists and finds that 18 of them are left-handed. = 0.10 and H: p > 0.10. The sample result was that 18 artists of 150 surveyed (or If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: P 12%) 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 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 parameter is p = the proportion of artists who are left handed The population of interest is artists The sample statistic is (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 Ha: P 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-value, make a conclusion for this situation. because the p-value is ---Select--- v than 0.05. ---Select--- Write a conclusion to this situation in words. conclude that artists are more likely to be left-handed than people in the general population. We ---Select---

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Part (b) and (c) please

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 150 artists and finds that 18 of them are left-handed. = 0.10 and H: p > 0.10. The sample result was that 18 artists of 150 surveyed (or If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: P 12%) 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 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 parameter is p = the proportion of artists who are left handed The population of interest is artists The sample statistic is (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 Ha: P 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-value, make a conclusion for this situation. because the p-value is ---Select--- v than 0.05. ---Select--- Write a conclusion to this situation in words. conclude that artists are more likely to be left-handed than people in the general population. We ---Select---
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 150 artists and finds that 18 of them are left-handed. = 0.10 and H: p > 0.10. The sample result was that 18 artists of 150 surveyed (or If we use p to represent the proportion of all artists who are left-handed, the hypotheses are Ho: P 12%) 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 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 parameter is p = the proportion of artists who are left handed The population of interest is artists The sample statistic is (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 Ha: P 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Calculate the p-value for the test. (Round your answer to four decimal places.) p-value = On the basis of the p-value, make a conclusion for this situation. because the p-value is ---Select--- v than 0.05. ---Select--- Write a conclusion to this situation in words. conclude that artists are more likely to be left-handed than people in the general population. We ---Select---
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