The percentage of seeds that germinate (under ideal conditions) is known as the germination rate of a seed. For instance, if 100 soybean seeds are planted and 73 germinate, then the germination rate for the soybean is 73%. A seed distribution company claims that its soybean seeds have a germination rate of at least 93%. However, many farmers have reported much lower germination rates. Therefore, many farmers believe that the germination rate advertised by the seed company is likely lower than advertised. To determine if the true germination rate is lower than the rate advertised by the company, an agronomist planted 730 soybean seeds under ideal lab conditions and observed 670 of the seeds germinated. Use the p-value method to dertermine if the sample data support the farmers' belief that the true germination rate of this company's soybean seeds is less than 93% . Use a significance level of 5%. State the null and alternative hypothesis for this test. Ho:? H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed Otwo-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
The percentage of seeds that germinate (under ideal conditions) is known as the germination rate of a
seed. For instance, if 100 soybean seeds are planted and 73 germinate, then the germination rate for the
soybean is 73%.
A seed distribution company claims that its soybean seeds have a germination rate of at least 93%.
However, many farmers have reported much lower germination rates. Therefore, many farmers believe
that the germination rate advertised by the seed company is likely lower than advertised.
To determine if the true germination rate is lower than the rate advertised by the company, an agronomist
planted 730 soybean seeds under ideal lab conditions and observed 670 of the seeds germinated.
Use the p-value method to dertermine if the sample data support the farmers' belief that the true
germination rate of this company's soybean seeds is less than 93%. Use a significance level of 5%.
State the null and alternative hypothesis for this test.
Ho: ? V
H₁: ?
Determine if this test is left-tailed, right-tailed, or two-tailed.
Oright-tailed
Oleft-tailed
O two-tailed
Should the standard normal (2) distribution or Student's (t) distribution be used for this test?
74°F
Mostly cloudy
Transcribed Image Text:The percentage of seeds that germinate (under ideal conditions) is known as the germination rate of a seed. For instance, if 100 soybean seeds are planted and 73 germinate, then the germination rate for the soybean is 73%. A seed distribution company claims that its soybean seeds have a germination rate of at least 93%. However, many farmers have reported much lower germination rates. Therefore, many farmers believe that the germination rate advertised by the seed company is likely lower than advertised. To determine if the true germination rate is lower than the rate advertised by the company, an agronomist planted 730 soybean seeds under ideal lab conditions and observed 670 of the seeds germinated. Use the p-value method to dertermine if the sample data support the farmers' belief that the true germination rate of this company's soybean seeds is less than 93%. Use a significance level of 5%. State the null and alternative hypothesis for this test. Ho: ? V H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed O two-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? 74°F Mostly cloudy
Should the standard normal (z) distribution or Student's (t)
distribution be used for this test?
The standard normal (2) distribution should be used
The Student's t distribution should be used
Determine the test statistic for the hypothesis test. Round
the solution to two decimal places.
Determine the p-value for the hypothesis test. Round the
solution to four decimal places.
Determine the appropriate conclusion for this hypothesis
test.
The sample data provide sufficient evidence to
reject farmers' belief that the germination rate of
the soybean seed is less than 93% and thus we
conclude that the true germination rate is likely
93%.
The sample data do not provide sufficient evidence
to reject farmers' belief that the germination rate of
the soybean seed is less than 93% and thus we
conclude that the true germination rate is likely less
than 93%.
The sample data provide sufficient evidence to
reject the seed company's claim that the
germination rate of their soybean seed is 93% (null
hypothesis) and thus we conclude that the true
germination rate is likely less than 93%.
The sample data do not provide sufficient evidence
to reject the seed company's claim that the
germination rate of their soybean seed is 93% (null
hypothesis) and thus we conclude that the true
germination rate is likely 93%.
Transcribed Image Text:Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used The Student's t distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test. The sample data provide sufficient evidence to reject farmers' belief that the germination rate of the soybean seed is less than 93% and thus we conclude that the true germination rate is likely 93%. The sample data do not provide sufficient evidence to reject farmers' belief that the germination rate of the soybean seed is less than 93% and thus we conclude that the true germination rate is likely less than 93%. The sample data provide sufficient evidence to reject the seed company's claim that the germination rate of their soybean seed is 93% (null hypothesis) and thus we conclude that the true germination rate is likely less than 93%. The sample data do not provide sufficient evidence to reject the seed company's claim that the germination rate of their soybean seed is 93% (null hypothesis) and thus we conclude that the true germination rate is likely 93%.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman