Consider the following two questions designed to assess quantitative literacy.1. What is 15% of 1000?2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much monewould a customer save on the television during this sale?Suppose the first question is asked of 200 randomly selected college students, with 168 answering correctly; the second one is askeof a different random sample of 200 college students, resulting in 148 correct responses. Carry out a test of hypotheses atsignificance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the onewith context. (Use p₁ for the true proportion students who answered the question without context correctly and p2 for the trueproportion of students who answered the question with context correctly.)State the relevant hypotheses.Ho: P1 P2 = 0Ha: P1P₂ = 0Ho: P1Ha: P1Ho: P1Ha: P₁Ho: P1Ha: P1Ho: P1USE SALTZ =P-value =P2 = 0P2 < 0P2 > 0P₂ = 0P2 = 0P2 <0Ha: P1 P2 = 0Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)P₂ > 0State the conclusion in the problem context.O Fail to reject Ho. The data does not suggest that the true proportion of correct answers to the context-free question is higherthan the proportion of right answers to the contextual one.O Reject Ho. The data does not suggest the true proportion of correct answers to the context-free question is higher than theproportion of right answers to the contextual one.O Reject Ho. The data suggests that the true proportion of correct answers to the context-free question is higher than theproportion of right answers to the contextual one.O Fail to reject Ho. The data suggests the true proportion of correct answers to the context-free question is higher than theproportion of right answers to the contextual one.You may need to use the appropriate table in the Appendix of Tables to answer this question.

It is given that a random sample of 200 students were taken for two question, 168 answering correct…

Consider the following two questions designed to assess quantitative literacy. 1. What is 15% of 1000? 2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much mone would a customer save on the television during this sale? Suppose the first question is asked of 200 randomly selected college students, with 168 answering correctly; the second one is aske of a different random sample of 200 college students, resulting in 148 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p₁ for the true proportion students who answered the question without context correctly and p2 for the true proportion of students who answered the question with context correctly.) USE SALT State the relevant hypotheses. Ho: P1 P2 = 0 Ha: P1 P2 = 0 Ho: P1 P2 = 0 Ha: P1 P2 < 0 Ho: P1-P2 > 0 Ha: P1-P₂ = 0 Ho: P1 P2 = 0 Ha: P1-P₂ > 0 Ho: P1-P2 <0 Ha: P1 P2₂ = 0 Calculate the test statistic and P-value. (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 Ho. The data does not suggest that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Reject Ho. The data does not suggest the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Reject Ho. The data suggests that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Fail to reject Ho. The data suggests the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Consider the following two questions designed to assess quantitative literacy. 1. What is 15% of 1000? 2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much mone would a customer save on the television during this sale? Suppose the first question is asked of 200 randomly selected college students, with 168 answering correctly; the second one is aske of a different random sample of 200 college students, resulting in 148 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p₁ for the true proportion students who answered the question without context correctly and p2 for the true proportion of students who answered the question with context correctly.) USE SALT State the relevant hypotheses. Ho: P1 P2 = 0 Ha: P1 P2 = 0 Ho: P1 P2 = 0 Ha: P1 P2 < 0 Ho: P1-P2 > 0 Ha: P1-P₂ = 0 Ho: P1 P2 = 0 Ha: P1-P₂ > 0 Ho: P1-P2 <0 Ha: P1 P2₂ = 0 Calculate the test statistic and P-value. (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 Ho. The data does not suggest that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Reject Ho. The data does not suggest the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Reject Ho. The data suggests that the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. O Fail to reject Ho. The data suggests the true proportion of correct answers to the context-free question is higher than the proportion of right answers to the contextual one. You may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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