Many new products introduced into the market are targeted toward children. The choice behavior of children with regard to new products is of particular interest to companies that design marketing strategies for these products. As part of one study, randomly selected children in different age groups were compared on their ability to sort new products into the correct product category (milk or juice). Here are some of the data. Age Group Number who sorted correctly 4- to 5-year-olds 50 10 6-to 7-year-olds 53 28 Researchers want to know if a greater proportion of 6- to 7-year-olds than 4- to 5-year-olds can sort correctly. The conditions for inference have been met. (a) Calculate the standardized test statistic. 3.44 z= Incorrect Round your answer to 2 decimal places. (b) Find the P-value using Table A or technology. P-value= 0.0003 I Round your answer to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Many new products introduced into the market are targeted toward children. The choice behavior of children with regard to new
products is of particular interest to companies that design marketing strategies for these products. As part of one study,
randomly selected children in different age groups were compared on their ability to sort new products into the correct product
category (milk or juice). Here are some of the data.
Age Group
Number who sorted correctly
4- to 5-year-olds 50
10
6-to 7-year-olds 53
28
Researchers want to know if a greater proportion of 6- to 7-year-olds than 4- to 5-year-olds can sort correctly. The conditions for
inference have been met.
(a) Calculate the standardized test statistic.
3.44
z=
Incorrect
Round your answer to 2 decimal places.
(b) Find the P-value using Table A or technology.
P-value= 0.0003
I
Round your answer to 4 decimal places.
Transcribed Image Text:Many new products introduced into the market are targeted toward children. The choice behavior of children with regard to new products is of particular interest to companies that design marketing strategies for these products. As part of one study, randomly selected children in different age groups were compared on their ability to sort new products into the correct product category (milk or juice). Here are some of the data. Age Group Number who sorted correctly 4- to 5-year-olds 50 10 6-to 7-year-olds 53 28 Researchers want to know if a greater proportion of 6- to 7-year-olds than 4- to 5-year-olds can sort correctly. The conditions for inference have been met. (a) Calculate the standardized test statistic. 3.44 z= Incorrect Round your answer to 2 decimal places. (b) Find the P-value using Table A or technology. P-value= 0.0003 I Round your answer to 4 decimal places.
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