biologist looked at the relationship between humb of seeds a plant produces and the percent of those eeds that sprout. The results of the survey are shown below. Seeds Produced 63 69 56 59 40 Sprout Percent 47.5 44.5 47 60.5 73 61 41 45 45 54.5 69.5 56.5 70.5 Find the correlation coefficient: r = The null and alternative hypotheses for correlation are: Ho: ? ✓ = 0 H₁: ?0 The p-value is: Round to 2 decimal places. (Round to four decimal places) . Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context

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
Sprout Percent
63 69 56
47.5
44.5 47
59 40
60.5 73
Find the correlation coefficient: r =
The null and alternative hypotheses for correlation are:
Ho: ? = 0
H₁: ?
0
The p-value is:
61
54.5 69.5
41 45 45
56.5 70.5
Round to 2 decimal places.
(Round to four decimal places)
№²,
Interpret 7²:
Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
O 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.
O 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 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 useful.
(Round to two decimal places)
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 Sprout Percent 63 69 56 47.5 44.5 47 59 40 60.5 73 Find the correlation coefficient: r = The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: 61 54.5 69.5 41 45 45 56.5 70.5 Round to 2 decimal places. (Round to four decimal places) №², Interpret 7²: Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O 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. O 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 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 useful. (Round to two decimal places)
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