The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126 female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress. Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress. Assuming the conditions are met, calculate the test statistic and ?-value. Give the test statistic to two decimal places and ?-value to four 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 13CYU
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The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126

female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress.

Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress.

Assuming the conditions are met, calculate the test statistic and ?-value. Give the test statistic to two decimal places and ?-value to four decimal places.

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