1. From a sample of 250 pet owners, 104 indicate that they buy their pet food in brick-and-mortar stores. a. Write the value of the sample statistic to three decimal places, using correct notation. Show your calculation here. b. Define the parameter this sample statistic estimates. I c. An estimate of the standard error for this statistic is 0.03117. Find a 95% confidence interval to three decimal places for the parameter defined here. Show all calculations. d. Interpret the 95% confidence interval in context. e. Which of the following best explains the meaning of 95% confidence in this question? Check only one. The proportion of 95% of all pet owners who buy their pet food in brick-and-mortar stores is in the interval. The proportion of 95% of the pet owners in this sample who buy their pet food in brick-and- mortar stores is in the interval. There is a 95% chance that the proportion of all pet owners who buy their pet food in brick and mortar stores is in this interval. □ 95% of all interval estimates found using this methodology contain the true value of the parameter.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
8:30
mp8kvdclv7DQ0Q2QfaVZMB/view
1. From a sample of 250 pet owners, 104 indicate that they buy their pet food in brick-and-mortar stores.
a. Write the value of the sample statistic to three decimal places, using correct notation.
Show your calculation here.
b. Define the parameter this sample statistic estimates.
I
c. An estimate of the standard error for this statistic is 0.03117. Find a 95% confidence interval to three
decimal places for the parameter defined here. Show all calculations.
d. Interpret the 95% confidence interval in context.
e. Which of the following best explains the meaning of 95% confidence in this question? Check
only one.
The proportion of 95% of all pet owners who buy their pet food in brick-and-mortar stores is in
the interval.
The proportion of 95% of the pet owners in this sample who buy their pet food in brick-and-
mortar stores is in the interval.
There is a 95% chance that the proportion of all pet owners who buy their pet food in brick
and mortar stores is in this interval.
95% of all interval estimates found using this methodology contain the true value of the
parameter.
MATH 1342
Page 1 of 2
34
Sections 3.1-3.2
MacBook Air
Transcribed Image Text:8:30 mp8kvdclv7DQ0Q2QfaVZMB/view 1. From a sample of 250 pet owners, 104 indicate that they buy their pet food in brick-and-mortar stores. a. Write the value of the sample statistic to three decimal places, using correct notation. Show your calculation here. b. Define the parameter this sample statistic estimates. I c. An estimate of the standard error for this statistic is 0.03117. Find a 95% confidence interval to three decimal places for the parameter defined here. Show all calculations. d. Interpret the 95% confidence interval in context. e. Which of the following best explains the meaning of 95% confidence in this question? Check only one. The proportion of 95% of all pet owners who buy their pet food in brick-and-mortar stores is in the interval. The proportion of 95% of the pet owners in this sample who buy their pet food in brick-and- mortar stores is in the interval. There is a 95% chance that the proportion of all pet owners who buy their pet food in brick and mortar stores is in this interval. 95% of all interval estimates found using this methodology contain the true value of the parameter. MATH 1342 Page 1 of 2 34 Sections 3.1-3.2 MacBook Air
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