Question
In: Statistics and Probability
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of college students who own iPhones is .66. She then splits the class into two groups: Group 1 with students whose last name begins with A-K and Group 2 with students whose last name begins with L-Z. She then asks each group to count how many in that group own iPhones and to calculate the group proportion of iPhone ownership. For Group 1 the proportion is p1 and for Group 2 the proportion is p2. To calculate the proportion you take the number of iPhone owners and divide by the total number of students in the group. You will get a number between 0 and 1.
- What would you expect p1 and p2 to be?
- Do you expect either of these proportions to be vastly different from the population proportion of .66?
- Would you be surprised if p1 was different than p2?
- Would you be surprised if they were the same or similar?
- What statistical concept describes the relationship between the first letter of someone's last name and whether or not they own an iPhone?
Solutions
orchestra answered 1 year agoRelated Solutions
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor wishes to estimate the proportion of college students that have never cheated during a...
A professor wishes to estimate the proportion of college
students that have never cheated
during a course. She wishes to estimate the proportion to be
within 4.15% with 96%
confidence. How many teenagers are needed for the sample?
A. 613
B.
611
C. 612
D. 614
E. Insufficient information to answer the question
The SAT is required of most students applying for college admission in the United States. This...
The SAT is required of most students applying for college
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through many revisions over the years. In 2005, a new writing
section was introduced that includes a direct writing measure in
the form of an essay. People argue that female students generally
do worse on math tests but better on writing tests. Therefore, the
new section may help reduce the usual male lead on the overall
average SAT score (The...
It is believed that the proportion of female college students who friend-zone a study buddy is...
It is believed that the proportion of female college students
who friend-zone a study buddy is about 29%.
a) Say? w?e s?elected? 15 ?random co?llege females?. I?s t?his?
s?amp?le ?"lar?ge e???nough"? to us??e ?the Central Limit Theorem?
What about 100? Check by using the assumptions for CLT.
b) Fill in the blank to write the sampling distribution when we
obtain 100 females. Round to three decimal points if possible. ?̂~?
(? , ?)
c) Find the probability that from the...
A senator wishes to estimate the proportion of United States voters who favor abolishing the Electoral...
A senator wishes to estimate the proportion of United States
voters who favor abolishing the Electoral College.How large a
sample is needed in order to be 98% confident that the sample
proportion will not differ from the true proportion by more than
3%?
A senator wishes to estimate the proportion of United States voters who favor abolishing the Electoral...
A senator wishes to estimate the proportion of United States
voters who favor abolishing the Electoral College.How large a
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In the United States in 2007, the proportion of adults age 21-24 who had no medical...
In the United States in 2007, the proportion of adults age 21-24
who had no medical insurance was 28.1%. A survey of 75 recent
college graduates in this age range finds that 30 of them are
without insurance. Does this support a difference from the
nationwide?
• Perform a two-sided significance test in R for a proportion,
following the procedure of seven steps in the lecture note (choose
a significance level of 0.05).
• Use the related function in R...
It has been determined, with 90% confidence, that the proportion of students who graduate from college...
It has been determined, with
90% confidence, that the proportion of students who graduate from
college are able to find a job in their field of study lies between
64% and 83%. Using this information answer the following
questions.
What is the sample proportion?
What is the margin of error?
Interpret this confidence interval in the context of this
problem.
What would happen to this interval if the confidence
level were to increase to 95%?
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