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(a) Only 355 of the 1,000 respondents chose the correct answer of "never." Assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use the five-step process for hypothesis testing (HMC) described in this section and a = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.13.) State the appropriate null and alternative hypotheses. O Ho: p < 0.40 versus H: p > 0.40 O Ho: p = 0.40 versus H: p + 0.40 O Họ: p = 0.40 versus H: p < 0.40 Ho: p + 0.40 versus H: p = 0.40 O Ho: p = 0.40 versus H: p > 0.40 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Fail to reject H. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject H. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40.

(a) Only 355 of the 1,000 respondents chose the correct answer of "never." Assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use the five-step process for hypothesis testing (HMC) described in this section and a = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.13.) State the appropriate null and alternative hypotheses. O Ho: p < 0.40 versus H: p > 0.40 O Ho: p = 0.40 versus H: p + 0.40 O Họ: p = 0.40 versus H: p < 0.40 Ho: p + 0.40 versus H: p = 0.40 O Ho: p = 0.40 versus H: p > 0.40 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Fail to reject H. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject H. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40.

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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A paper included analysis of data from a national sample of 1,000 Americans. One question on the survey is given below. "You owe $3,000 on your credit card. You pay a minimum payment of $30 each month. At an Annual Percentage Rate of 12% (or 1% per month), how many years would it take to eliminate your credit card debt if you made no additional charges?" Answer options for this question were: (a) less than 5 years; (b) between 5 and 10 years; (c) between 10 and 15 years; (d) never-you will continue to be in debt; (e) don't know; and (f) prefer not to answer. A USE SALT (a) Only 355 of the 1,000 respondents chose the correct answer of "never." Assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use the five-step process for hypothesis testing (HMC3) described in this section and a = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.13.) State the appropriate null and alternative hypotheses. O Ho: p < 0.40 versus H: p > 0.40 O Ho: p = 0.40 versus H: p + 0.40 O Ho: p = 0.40 versus H: p < 0.40 Ho: p + 0.40 versus H: p = 0.40 O Ho: p = 0.40 versus H: p> 0.40 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Fail to reject Hg. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. (b) The paper also reported that 37.1% of those in the sample chose one of the wrong answers (a, b, or c) as their response to this question. Is it reasonable to conclude that more than one-third of adult Americans would select a wrong answer to this question? Use a = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.) State the appropriate null and alternative hypotheses. O Ho: p<. 1 versus H: p > 3 O Ho: p + 1 versus H:p = 3 3 1 versus H: p < 3 1 O Ho: p = 3 1 = d:°H versus H: p + Ho: p = versus H: p >- Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Reject Ho. We do not have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Fail to reject Ho. We have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Fail to reject H. We do not have convincing evidence that more than one-third of adult Americans would select a wrong answer. Need Help? Master It Read It Watch It 1/3
Transcribed Image Text:A paper included analysis of data from a national sample of 1,000 Americans. One question on the survey is given below. "You owe $3,000 on your credit card. You pay a minimum payment of $30 each month. At an Annual Percentage Rate of 12% (or 1% per month), how many years would it take to eliminate your credit card debt if you made no additional charges?" Answer options for this question were: (a) less than 5 years; (b) between 5 and 10 years; (c) between 10 and 15 years; (d) never-you will continue to be in debt; (e) don't know; and (f) prefer not to answer. A USE SALT (a) Only 355 of the 1,000 respondents chose the correct answer of "never." Assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use the five-step process for hypothesis testing (HMC3) described in this section and a = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.13.) State the appropriate null and alternative hypotheses. O Ho: p < 0.40 versus H: p > 0.40 O Ho: p = 0.40 versus H: p + 0.40 O Ho: p = 0.40 versus H: p < 0.40 Ho: p + 0.40 versus H: p = 0.40 O Ho: p = 0.40 versus H: p> 0.40 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Fail to reject H. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We do not have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Fail to reject Hg. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. O Reject Ho. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. (b) The paper also reported that 37.1% of those in the sample chose one of the wrong answers (a, b, or c) as their response to this question. Is it reasonable to conclude that more than one-third of adult Americans would select a wrong answer to this question? Use a = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.) State the appropriate null and alternative hypotheses. O Ho: p<. 1 versus H: p > 3 O Ho: p + 1 versus H:p = 3 3 1 versus H: p < 3 1 O Ho: p = 3 1 = d:°H versus H: p + Ho: p = versus H: p >- Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Reject Ho. We do not have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Fail to reject Ho. We have convincing evidence that more than one-third of adult Americans would select a wrong answer. O Fail to reject H. We do not have convincing evidence that more than one-third of adult Americans would select a wrong answer. Need Help? Master It Read It Watch It 1/3
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