In: Statistics and Probability
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%.