Question

In: Statistics and Probability

1- A genetic experiment with peas resulted in one sample of offspring that consisted of 432432...

1-

A genetic experiment with peas resulted in one sample of offspring that consisted of

432432

green peas and

152152

yellow peas.a. Construct a

9595​%

confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

a. Construct a

9595​%

confidence interval. Express the percentages in decimal form.

nothingless than<pless than<nothing

​(Round to three decimal places as​ needed.)

b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

​Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

2-

A magazine provided results from a poll of

10001000

adults who were asked to identify their favorite pie. Among the

10001000

​respondents,

1414​%

chose chocolate​ pie, and the margin of error was given as

plus or minus±44

percentage points. Describe what is meant by the statement that​ "the margin of error was given as

plus or minus±44

percentage​ points."

Choose the correct answer below.

A.The statement indicates that the study is only

44​%

confident that the true population percentage of people that prefer chocolate pie is exactly

1414​%.

B.The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval

1414​%plus or minus±44​%.

C.The statement indicates that the interval

1414​%plus or minus±44​%

is likely to contain the true population percentage of people that prefer chocolate pie.

D.The statement indicates that the study is

​100%minus−44​%equals=9696​%

confident that the true population percentage of people that prefer chocolate pie is

1414​%.

Solutions

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