(7 points) He/She/Them - According to a recent article from the Pew Fesearch Center, "On the Cusp of Adulthood and Facing an Uncertan Future: What We Know About Gen Z So Far:" "Ideas about gender ldentity are rapidly changing in the U.S., and Gen Z is at the front end of those changes. Gen Zers are much more likoly than those in older generations to say they personally know someone who prefers to go by gender-neutral pronouns, with 35% saying so." Gen Z refers to indiduals between 1997 and 2012 . A group of studenta in an introductory statistics class wants to know what proportion of students at their university say they personally know someone who prefers to go by gender-neutral pronouns. They survey a random sample of 240 students and find that 73 say they personaly know someone who prefers to go by gender- heutral peonouns. 1. Using the information from the university student sample, construct a 90% confidence interval for the true proportion of studints at the university Who say they personally know someone who prefen to go by gendorneutral pronouns 2. Which of the folowifg conditions must be met for the confidence interval to be valid? Select al that apply. A. The observations must be independent of one another. B. There must be at loast 10 'success' and 10 Yailure observatione in the sample. c. The value for p must be less than 0.10 to provide evidence against the null hypothesis D. The sample proportion mast be nommaly datribuled. 3. The intomition trom the survey alves a standard error of SLf=0.0207. Which of the statements below is a correct interprelation of the standard eron? A. Wo can be 2.974 conidont that cur sample proportion is correcty calculated B. On average, for repeated samples of this sue. we expect the sample proporion to be approwimately 0.0297 from the true population proportion C. The sample proportion is ditherent trom the true proportion of students at the universty aho swy they perbonally knaw someone who preters Sa ga by gender-neutal pronouns approcimately 2.979 of the time. D. Wh have strong evidence that the true proportion of studants at the universid who say they pernonally know someone who prefers to go by gender:neutal pronouns is contained in a contidence interval 4. If the statistics students want to estmate the the proporfon of Gen Zers who ayy they personaly know someone whio nomers to on bvaended. 4. If the statistics students want to estimate the true proportion of Gen Zers who say they personally know someone who prefers to go by genderneutral pronouns with 90% confidence and a margin of error of no more than 1.1%, what size sample should they take? Use the value from the Pew Research Center report as a planning value for p, that is, p=0.35. Round your z value to exactly 3 decimal places. n= 5. A student group at a difterent university surveys 325 students at their university and calculate a 95% confidence interval for the proportion of students at their university who say they personally know someo.

1. (7 points) He/She/Them - According to a recent article from the Pew Fesearch Center, "On the
Cusp of Adulthood and Facing an Uncertan Future: What We Know About Gen Z So Far:"
"Ideas about gender ldentity are rapidly changing in the U.S., and Gen Z is at the front end of
those changes. Gen Zers are much more likoly than those in older generations to say they
personally know someone who prefers to go by gender-neutral pronouns, with 35% saying so."
Gen Z refers to indiduals between 1997 and 2012 . A group of studenta in an introductory
statistics class wants to know what proportion of students at their university say they personally
know someone who prefers to go by gender-neutral pronouns. They survey a random sample of
240 students and find that 73 say they personaly know someone who prefers to go by gender-
heutral peonouns. 1. Using the information from the university student sample, construct a 90%
confidence interval for the true proportion of studints at the university Who say they personally
know someone who prefen to go by gendorneutral pronouns 2. Which of the folowifg conditions
must be met for the confidence interval to be valid? Select al that apply. A. The observations
must be independent of one another. B. There must be at loast 10 'success' and 10 Yailure
observatione in the sample. c. The value for p must be less than 0.10 to provide evidence against
the null hypothesis D. The sample proportion mast be nommaly datribuled. 3. The intomition
trom the survey alves a standard error of SLf=0.0207. Which of the statements below is a correct
interprelation of the standard eron? A. Wo can be 2.974 conidont that cur sample proportion is
correcty calculated B. On average, for repeated samples of this sue. we expect the sample
proporion to be approwimately 0.0297 from the true population proportion C. The sample
proportion is ditherent trom the true proportion of students at the universty aho swy they
perbonally knaw someone who preters Sa ga by gender-neutal pronouns approcimately 2.979 of
the time. D. Wh have strong evidence that the true proportion of studants at the universid who
say they pernonally know someone who prefers to go by gender:neutal pronouns is contained in
a contidence interval 4. If the statistics students want to estmate the the proporfon of Gen Zers
who ayy they personaly know someone whio nomers to on bvaended.
4. If the statistics students want to estimate the true proportion of Gen Zers who say they
personally know someone who prefers to go by genderneutral pronouns with 90% confidence
and a margin of error of no more than 1.1%, what size sample should they take? Use the value
from the Pew Research Center report as a planning value for p, that is, p=0.35. Round your z
value to exactly 3 decimal places. n= 5. A student group at a difterent university surveys 325
students at their university and calculate a 95% confidence interval for the proportion of students
at their university who say they personally know someone who prefers to go by gender.neutral
pronouns to be (0,316,0.391). Which of the following statements are appropriate interpretations
in this scenario? Select al that apply: A. It the statistise students collocted 100 samples of size

2. n=325 from this population and constructed 100 new 95% confidence intervals, they could
expect approximately 95 of them to contain the true proportion of students at the university who
say they personally know someone who prefers to go by gender-neutral pronouns. B. We can be
95% confident that the true proportion of students at the university who say they personaly know
someone who prefers to go by genderneutral proncuns to be contained in the interval
(0.316,0.391) C. We can be 95% contident that, on average, the margin of eror will vary no more
than the sire of the standard error: D. On average, 95% of the time we can expect any sample
proportion from a sample of 325 students at the university who say they porsonally know
someone who prefors to go by gender-neutral pronouns to be in the interval (0.316,0.391). 6. 14,
instead, these students tfrom question 45) caiculate a 9096 contidence interval for the true
proportion of students at their university who say they personally know somene who prelers to
go by gender-neutral pronouns, this new interval would be the 95% confidonce interval.
(7 points) He/She/Them - Aocording to a recont article from the Pow Resoarch Center, "On the
Cusp of Adulthood and Facing an Uncertain Future: What We Know About Gen Z So Far":
"Ideas about gender identity are rapidly changing in the U.S., and Gen Z is at the front end of
those changes. Gen Zers are much more likely than those in older generations to say they
personally know someone who prefers to go by genderneutral pronouns, with 35% saying so."
Gen Z refers to individuals between 1997 and 2012. A group of students in an introductory
statistics class wants to know what proportion of students at their university say they personally
know someone who prefers to go by gender-neutral pronouns. They survey a random sample of
240 students and find that 73 say they personally know sameone who prelers to go by gender-
neutral pronouns. 1. Uging the information from the university student sample, construct a 90%
confidence interval for the true proportion of students at the university who say they personaly
know sorneone who prefers to go by gender-neutral pronouns. 2. Which of the following
condtions must be met for the confidence interval to be valid? Select all that apply. A. The
observations must be independent of one another B. There must be at least 10 'success' and 10
'tailure' observations in the sample. C. The value for p must be less than 0.10 to provide evidence
against the null hypothesis, D. The sample proportion must be normally distributed. 3. The
information from the survey gives a standard error of SEp=0.0297. Which of the statements
below is a correct interprotation of the standard erron? A. Wo can be 2.97% corfident that cur
sample proportion is correctly calculated. B. On average, for ropeated samples of this size, we
expect the sample proportion to be approximately 0.0297 trom the true population peoportion. C.
The samplo proportion is different from the true proportion of students at the university who say
they perscnally know sorneone who prefers to 90 by gender-neutral pronouns approximately
2.97% of the time. D. We have strong evidonce that the true proportion of students at the

3. university who say they personally know someone who prefers to go by gender-nevtral pronouns
is contained in a confidence interval. 4. If the statistics students want to estimate the true
proportion of Gen Zers who say they personally know sompone who preders to go by
gonderneutral pronouns with 90% confidence and a margin of error of no more than 1.1%, what
size sample should they take?
4. If the statistics students want to estimate the true proportion of Gen Zers who say they
personally know someone who prefers to go by genderneutral pronouns with 90% confidence
and a margin of error of no more than 1.1%, what size sample should they take? Use the value
from the Pew Research Center report as a planning value for p^, that is, p^=0.35. Round your z
value to exactly 3 decimal places. n= 5. A student group at a ditterent university surveys 325
students at their university and calculate a 95% confidence interval for the proportion of students
at their university who say they personally know someone who proters to go by gendor-neutral
pronouns to be (0.316,0.391). Which of the following statements are appropriate interpretations
in this scenario? Select all that apply. A. If the staristics students collected 100 sampies of size n
325 from this population and constructed 100 new 95% confidence intervals, they could expect
approximately 95 of them to contain the true proportion of students at the university who say
they personally know someone who prefers to go by gender-neutral pronouns. B. We can be 95%
confident that the true proportion of students at the university who say they personally know
someone who prefers to go by 9ender heutral pronouns to be contained in the interval
(0.316,0.391). C. We can be 95% confident that, on average, the margin of error will vary no
more than the size of the standard error. D. On average, 95% of the time we can expect any
sample proportion from a sample of 325 students at the university whe say they personally know
someone who prefers to go by gender-heutral pronouns to be in the interval (0.316,0.391). 6. It,
instead, these students from question 15 ) calculate a 90% confidence interval for the true
proportion of students at their university who say they personaly know someone who preters to
go by gonder-neutral pronouns, this new interval would be the 95% confidence intervali