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A botanist has produced a new variety of hybrid wheat that is better able to withstand drought than other varieties. TE botanist knows that for the parent plants, the proportion of seeds germinating is 80%. The proportion of seeds germin for the hybrid variety is unknown, but the botanist claims that it is 80%. To test this claim, 400 seeds from the hybrid plant are tested, and it is found that 312 germinate. Use a 5% level of significance to test the claim that the germinating for the hybrid is 80%. proportion a) State H,, H1 and a b) Using the value of p in H., are both np > 5 and nq > 5? Can we use the normal distribution for p? Explain c) Calculate the sample test statistic p. d) Convert the sample test statistic p to a z value. e) Find the P-value of the test? Đ Based on the P-value and the level of significance, do you reject or fail to reject Ho? Explain

A botanist has produced a new variety of hybrid wheat that is better able to withstand drought than other varieties. TE botanist knows that for the parent plants, the proportion of seeds germinating is 80%. The proportion of seeds germin for the hybrid variety is unknown, but the botanist claims that it is 80%. To test this claim, 400 seeds from the hybrid plant are tested, and it is found that 312 germinate. Use a 5% level of significance to test the claim that the germinating for the hybrid is 80%. proportion a) State H,, H1 and a b) Using the value of p in H., are both np > 5 and nq > 5? Can we use the normal distribution for p? Explain c) Calculate the sample test statistic p. d) Convert the sample test statistic p to a z value. e) Find the P-value of the test? Đ Based on the P-value and the level of significance, do you reject or fail to reject Ho? Explain

MATLAB: An Introduction with Applications
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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A botanist has produced a new variety of hybrid wheat that is better able to withstand drought than other varieties. The botanist knows that for the parent plants, the proportion of seeds germinating is 80%. The proportion of seeds germinating for the hybrid variety is unknown, but the botanist claims that it is 80%. To test this claim, 400 seeds from the hybrid plant are tested, and it is found that 312 germinate. Use a 5% level of significance to test the claim that the proportion germinating for the hybrid is 80%. 1S a) State H,, H, and a b) Using the value of p in H,, are both np > 5 and nq > 5? Can we use the normal distribution for Đ? Explain c) Calculate the sample test statistic p. d) Convert the sample test statistic p to az value. e) Find the P-value of the test? ĐBased on the P-value and the level of significance, do you reject or fail to reject Ho? Explain g) Interpret your results in the context of the application.
Transcribed Image Text:A botanist has produced a new variety of hybrid wheat that is better able to withstand drought than other varieties. The botanist knows that for the parent plants, the proportion of seeds germinating is 80%. The proportion of seeds germinating for the hybrid variety is unknown, but the botanist claims that it is 80%. To test this claim, 400 seeds from the hybrid plant are tested, and it is found that 312 germinate. Use a 5% level of significance to test the claim that the proportion germinating for the hybrid is 80%. 1S a) State H,, H, and a b) Using the value of p in H,, are both np > 5 and nq > 5? Can we use the normal distribution for Đ? Explain c) Calculate the sample test statistic p. d) Convert the sample test statistic p to az value. e) Find the P-value of the test? ĐBased on the P-value and the level of significance, do you reject or fail to reject Ho? Explain g) Interpret your results in the context of the application.
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