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 germinatin 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%. a) State Ho. H1 and a b) Using the value of p in Ho, are both np > 5 and nq > 5? Can we use the normal distribution for p? Explain c) Calculate the sample test statistic p.
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 germinatin 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%. a) State Ho. H1 and a b) Using the value of p in Ho, are both np > 5 and nq > 5? Can we use the normal distribution for p? Explain c) Calculate the sample test statistic p.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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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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