In a previous example results were given for a survey of students in a statistics class who measured the lengths of their right and left feet to the nearest millimeter. Suppose the right and left foot measurements were equal for 118 of the 223 students. Assuming that this class is representative of all college students, is there convincing statistical evidence that the proportion of college students whose feet are the same length differs from one-half? Go through the five steps of hypothesis testing for this situation. Use the p-value to make a reasonable conclusion. A USE SALT Determine the null and alternative hypotheses. (Enter - for + as needed.) Ho H Verify that necessary data conditions are met. We are told that we 8v assume the sample is representative of all college students. In addition we find np," X . Both quantities are can X and n(1 - Po) v at least 10. So, we have found that the necessary data conditions ere met. Calculate the test statistic. (Round your answer to two decimal places.) 0.866 lu Use technology to find the p-value, (Round your answer to four decimal places.) p-value vis Based on the p-value, make a conclusion, and report the conclusion in the context of the situation. x standard for significance, so there is not Ov sufficient evidence to be able to conclude The p-value is greater than 8 the that the proportion of college students Enter a number. the same length differs from one-half. ifos Need a refresher? Quick Reference Need Help? Read bel the Submit Anewer its
In a previous example results were given for a survey of students in a statistics class who measured the lengths of their right and left feet to the nearest millimeter. Suppose the right and left foot measurements were equal for 118 of the 223 students. Assuming that this class is representative of all college students, is there convincing statistical evidence that the proportion of college students whose feet are the same length differs from one-half? Go through the five steps of hypothesis testing for this situation. Use the p-value to make a reasonable conclusion. A USE SALT Determine the null and alternative hypotheses. (Enter - for + as needed.) Ho H Verify that necessary data conditions are met. We are told that we 8v assume the sample is representative of all college students. In addition we find np," X . Both quantities are can X and n(1 - Po) v at least 10. So, we have found that the necessary data conditions ere met. Calculate the test statistic. (Round your answer to two decimal places.) 0.866 lu Use technology to find the p-value, (Round your answer to four decimal places.) p-value vis Based on the p-value, make a conclusion, and report the conclusion in the context of the situation. x standard for significance, so there is not Ov sufficient evidence to be able to conclude The p-value is greater than 8 the that the proportion of college students Enter a number. the same length differs from one-half. ifos Need a refresher? Quick Reference Need Help? Read bel the Submit Anewer its
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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