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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. 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 18 artists of 150 surveyed (or 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. sure the sample was selected randomly, the sample siİze is large enough because both np and n(1 – p) are greater than or equal to v We are not 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population parameter isp = the proportion of artists who are left handed The population of interest is artists The sample statistic is 0.12 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 H2: p > v 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Z = ,81 Calculate the p-value for the test. (Round your answer to four decimal places.) ip-value On the basis of the p-value, make a conclusion for this situation. because the p-value is greater than 0.05. Do not reject the null hypothesis v 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 150 artists and finds that 18 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 18 artists of 150 surveyed (or 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. sure the sample was selected randomly, the sample siİze is large enough because both np and n(1 – p) are greater than or equal to v We are not 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population parameter isp = the proportion of artists who are left handed The population of interest is artists The sample statistic is 0.12 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 H2: p > v 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Z = ,81 Calculate the p-value for the test. (Round your answer to four decimal places.) ip-value On the basis of the p-value, make a conclusion for this situation. because the p-value is greater than 0.05. Do not reject the null hypothesis v 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Please help me only for the p-value on part (c), thank you!

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. 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 18 artists of 150 surveyed (or 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. sure the sample was selected randomly, the sample siİze is large enough because both np and n(1 – p) are greater than or equal to v We are not 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population parameter isp = the proportion of artists who are left handed The population of interest is artists The sample statistic is 0.12 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 H2: p > v 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Z = ,81 Calculate the p-value for the test. (Round your answer to four decimal places.) ip-value On the basis of the p-value, make a conclusion for this situation. because the p-value is greater than 0.05. Do not reject the null hypothesis v 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 150 artists and finds that 18 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 18 artists of 150 surveyed (or 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. sure the sample was selected randomly, the sample siİze is large enough because both np and n(1 – p) are greater than or equal to v We are not 10. (b) State the population of interest, the population parameter of interest, and the value of the sample statistic. The population parameter isp = the proportion of artists who are left handed The population of interest is artists The sample statistic is 0.12 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 H2: p > v 0.1 0.1 Compute the test statistics for this situation. (Round your answer to two decimal places.) Z = ,81 Calculate the p-value for the test. (Round your answer to four decimal places.) ip-value On the basis of the p-value, make a conclusion for this situation. because the p-value is greater than 0.05. Do not reject the null hypothesis v 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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