He/She/Them ~ According to a recent article from the Pew Research 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 gender-neutral 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 200 students and find that 68 say they personally know someone who prefers to go by gender-neutral pronouns. 1. Using the information from the university student sample, construct a 95% confidence interval for the true proportion of students at the university who say they personally know someone who prefers to go by gender-neutral pronouns. ( , ) 2. Which of the following conditions must be met for the confidence interval to be valid? Select all that apply. A. The value for p must be less than 0.10 to provide evidence against the null hypothesis. B. The observations must be independent of one another. C. The sample proportion must be normally distributed. D. There must be at least 10 'success' and 10 'failure' observations in the sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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He/She/Them ~ According to a recent article from the Pew Research 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 gender-neutral 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 200 students and find that 68 say they personally know someone who prefers to go by gender-neutral pronouns.

1. Using the information from the university student sample, construct a 95% confidence interval for the true proportion of students at the university who say they personally know someone who prefers to go by gender-neutral pronouns.

( , )

2. Which of the following conditions must be met for the confidence interval to be valid? Select all that apply.

A. The value for p must be less than 0.10 to provide evidence against the null hypothesis.

B. The observations must be independent of one another.

C. The sample proportion must be normally distributed.

D. There must be at least 10 'success' and 10 'failure' observations in the sample.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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