Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 428 of the 693 Republicans surveyed display the flag on the Fourth of July and 471 of the 714 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.10 level of significance? 1. For this study, we should use? Select an answer: z-test for a population proportion? z-test for the difference between two population proportions? t-test for the difference between two independent population means? t-test for the difference between two dependent population means? or t-test for a population mean ? 2. The null and alternative hypotheses would be: H0? Select an answer: p1 or μ1? Select an answer > , ≠, =, or < ? Select an answer: μ2 or p2 ? (please enter a decimal) H1? Select an answer: p1or μ1? Select an answer: =, <, ≠, or > ? Select an answer: p2 or μ2 ? (Please enter a decimal) 3. The test statistic: z or t ? = ________ (please show your answer to 3 decimal places.) 4. The p-value = _________ (Please show your answer to 4 decimal places.) 5. The p-value is: ≤ or > 6. Based on this, we should ? Select an answer: reject? fail to reject? or accept? the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the proportion of the 693 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 714 Democrats who displayed the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. 8. Interpret the p-value in the context of the study. If the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance of concluding that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July There is a 5.03% chance of a Type I error. There is a 5.03% chance that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July. If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July would be at least 4.2% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July.

Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 428 of the 693 Republicans surveyed display the flag on the Fourth of July and 471 of the 714 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.10 level of significance? 1. For this study, we should use? Select an answer: z-test for a population proportion? z-test for the difference between two population proportions? t-test for the difference between two independent population means? t-test for the difference between two dependent population means? or t-test for a population mean ? 2. The null and alternative hypotheses would be: H0? Select an answer: p1 or μ1? Select an answer > , ≠, =, or < ? Select an answer: μ2 or p2 ? (please enter a decimal) H1? Select an answer: p1or μ1? Select an answer: =, <, ≠, or > ? Select an answer: p2 or μ2 ? (Please enter a decimal) 3. The test statistic: z or t ? = (please show your answer to 3 decimal places.) 4. The p-value = _ (Please show your answer to 4 decimal places.) 5. The p-value is: ≤ or > 6. Based on this, we should ? Select an answer: reject? fail to reject? or accept? the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the proportion of the 693 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 714 Democrats who displayed the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. 8. Interpret the p-value in the context of the study. If the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance of concluding that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July There is a 5.03% chance of a Type I error. There is a 5.03% chance that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July. If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July would be at least 4.2% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July.

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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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1. For this study, we should use? Select an answer: z-test for a population proportion? z-test for the difference between two population proportions? t-test for the difference between two independent population means? t-test for the difference between two dependent population means? or t-test for a population mean ?

2. The null and alternative hypotheses would be:

H0? Select an answer: p1 or μ1? Select an answer > , ≠, =, or < ? Select an answer: μ2 or p2 ? (please enter a decimal)

H1? Select an answer: p1or μ1? Select an answer: =, <, ≠, or > ? Select an answer: p2 or μ2 ? (Please enter a decimal)

3. The test statistic: z or t ? = ________ (please show your answer to 3 decimal places.)

4. The p-value = _________ (Please show your answer to 4 decimal places.)

5. The p-value is: ≤ or >

6. Based on this, we should ? Select an answer: reject? fail to reject? or accept? the null hypothesis.

7. Thus, the final conclusion is that ...

The results are statistically insignificant at αα = 0.10, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the proportion of the 693 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 714 Democrats who displayed the American flag in front of their residence on the Fourth of July.
The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.

8. Interpret the p-value in the context of the study.

If the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance of concluding that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July
There is a 5.03% chance of a Type I error.
There is a 5.03% chance that Republicans are at least 4.2% less likely to display the American flag in front of their residence on the Fourth of July.
If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 693 Republicans and 714 Democrats are surveyed then there would be a 5.03% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July would be at least 4.2% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July.

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