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Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 p2 |(please enter a decimal) H1: [p1 p2 (Please enter a decimal) c. The test statistic z v - 2.619 (please show your answer to 3 decimal places.) d. The p-value = 0.0213 e. The p-value is > a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. ) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 579 wildfires that were caused by humans in the south is higher than the proportion of the 597 wildfires that were caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west.

Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 p2 |(please enter a decimal) H1: [p1 p2 (Please enter a decimal) c. The test statistic z v - 2.619 (please show your answer to 3 decimal places.) d. The p-value = 0.0213 e. The p-value is > a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. ) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 579 wildfires that were caused by humans in the south is higher than the proportion of the 597 wildfires that were caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 p2 v (please enter a decimal) H1: p1 p2 v (Please enter a decimal) c. The test statistic z v = 2.619 (please show your answer to 3 decimal places.) d. The p-value = 0.0213 (Please show your answer to 4 decimal places.) e. The p-value is >v a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... v the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 579 wildfires that were caused by humans in the south is higher than the proportion of the 597 wildfires that were caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west.
Transcribed Image Text:Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 p2 v (please enter a decimal) H1: p1 p2 v (Please enter a decimal) c. The test statistic z v = 2.619 (please show your answer to 3 decimal places.) d. The p-value = 0.0213 (Please show your answer to 4 decimal places.) e. The p-value is >v a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... v the null hypothesis. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 579 wildfires that were caused by humans in the south is higher than the proportion of the 597 wildfires that were caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west.
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