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Mathematics, 02.05.2021 23:10 Nopernope11
What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?” Only 19 answered “Yes.”
A. Show that the conditions for calculating a confidence interval for a proportion are satisfied.
RANDOM? The data (does/does not) come from a random sample from the population of interest.
LARGE COUNTS CONDITION?
n⋅p≥10
> 10
> 10
(1−p)≥10
( ) > 10
> 10
B. Calculate a 99% confidence interval for the proportion of all undergraduate students at this university who would answer “Yes.” Record the interval below.
to
C. Interpret the interval from Part B.
Sorry! A recent poll of 738 randomly selected customers of a major U. S. cell-phone carrier found that 170 of them had walked into something or someone while talking on a cell phone.
RANDOM? The data (does/does not) come from a random sample from the population of interest.
LARGE COUNTS CONDITION?
n⋅p≥10
> 10
> 10
(1−p)≥10
( ) > 10
> 10
E. Calculate a 90% confidence interval for the proportion of all customers who have walked into something or someone while talking on a cell phone. Record the interval below.
to
F. Interpret the interval from Part E.
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