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A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced Seeds Produced67 40 43 56 654745 40 62 67 | 40 | 431,56 ㄒㄧ-65 ㄒㄧ-47 45 T40162 Sprout Percent 49.5 66 595 63 54.5 565 715 59 48 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is usefiul There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced Seeds Produced67 40 43 56 654745 40 62 67 | 40 | 431,56 ㄒㄧ-65 ㄒㄧ-47 45 T40162 Sprout Percent 49.5 66 595 63 54.5 565 715 59 48 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is usefiul There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced Seeds Produced67 40 43 56 654745 40 62 67 | 40 | 431,56 ㄒㄧ-65 ㄒㄧ-47 45 T40162 Sprout Percent 49.5 66 595 63 54.5 565 715 59 48 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is usefiul There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds
Transcribed Image Text:A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced Seeds Produced67 40 43 56 654745 40 62 67 | 40 | 431,56 ㄒㄧ-65 ㄒㄧ-47 45 T40162 Sprout Percent 49.5 66 595 63 54.5 565 715 59 48 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a 0.05 to state the conclusion of the hypothesis test in the context of the study There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is usefiul There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds
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