Question

/ Student/Parent Dashboard ×1? averahs.strongmind.com/courses/2724/assignments/490663?module item id-1341383 Exam 5 The owners of a nationa An animal shelter hosts an open house for people who are considering adopting an animal, and 800 people attend During the event, 50 of the guests are surveyed, and 18 indicate that they are planning to adopt an animal within the next year. Part A: How can the animal shelter use this information to estimate the total number of guests at the event who might adopt an animal within the next year? Part B: Considering your answer for question Part A, what is the estimated number of guests at the event who might adopt an animal within the next year? Select one answer that is completely correct for Part A, and select one answer for Part 8. B:288 . A: The animal shelter will need to survey all 800 guests to find the tocal number who might adopr an animal within the next year D B 18 : 8 180 e survey finds that 2 guests are planning to adop: am enimei within the next year. The to estimaze the cotel umber of guests at the event who gnt adopt an animal within the next year A: The anlimal sheliter alreaay found the numper of guesses ac sre event who mignt edopt an animai within the next year he survey tihos thes 30 guess ere aing to ea anima sneter can use snes assieso essimace she cote cume or guess es sre een who 90 2

Answer 1

A sample of size 50 was surveyed out of a total of 800 guests. We can say that 800 guests is the population.

In the sample of 50 guests surveyed 18 indicated that they are planning to adopt an animal within next year.

This means the survey indicates that the sample proportion of guests that are planning to adopt an animal within next year is   $\bar{p}=\frac{18}{50}$

This information is from the sample. Hence this is called sample statistics. The proportion of guests that are planning to adopt an animal within next year among 800 guests is the population parameter (800 guests is the population)

Suppose we use the sample proportion as an estimator of the population proportion. Then we can say that an estimate of the population proportion (population proportion is a parameter, sample proportion is a statistics) is

$\hat{p}=\bar{p}=\frac{18}{50}$.

This is part A. We can use this sample statistics to estimate the total number of guests at the event who might adopt an animal within next year.

Now using this estimate of population proportion we can estimate the number of guests at the event who might adopt an animal next year using

$\hat{p}\times 800=\frac{18}{50}\times 800=288$.

This is part B.

ans: B: 288

B288 A: The animal shelter will need to survey el 800 guests to find the total number who might adopt an animal within the next year B: 18 B 180 A: The survey finds that guests are planning to dopt an anime! within the next year. The mel sheiter can use that paramere mignt adopt an anima within the next year est mate the cote number of guests at the event who A: The pgimel shelter alreesy found the rumper of snimal within ghe next yeer 90