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. SOLVE : Are the conditions met to carry out the desired hypothesis test? One observed count of a success, namely the women who would buy a dress after seeing it on a headless
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.
SOLVE : Are the conditions met to carry out the desired hypothesis test?
One observed count of a success, namely the women who would buy a dress after seeing it on a headless mannequin, is ten, which is not greater than ten. So even assuming the sample can be thought of as an SRS, a hypothesis test cannot be performed.
There is not enough information to decide, even assuming the sample can be thought of as an SRS.
The observed counts of successes and failures are all at least five. Assuming the sample can be thought of as an SRS, a hypothesis test can be performed.
The observed counts of successes and failures are all at least ten. Assuming the sample can be thought of as an SRS, a hypothesis test can be performed.
Assuming the conditions are met, calculate the test statistic and ?-value.P-value. Give the test statistic to two decimal places and ?-valueP-value to four decimal places.
CONCLUDE: Make a conclusion based on the evidence.
There is not strong evidence to conclude the proportion of women who would buy the dress is greater for those who viewed the dress on a mannequin with than without a head.
There is strong evidence to conclude the proportion of women who would buy the dress differs between those who viewed the dress on a mannequin with or without a head.
There is not strong evidence to conclude the proportion of women who would buy the dress differs between those who viewed the dress on a mannequin with or without a head.
There is strong evidence to conclude the proportion of women who would buy the dress is greater for those who viewed the dress on a mannequin with than without a head.
Based on this study, do you think it is a good idea for most manufacturers to use display mannequins without a head?
Based on the conclusion you derived for this test, it is a bad idea to use display mannequins without a head.
Based on the conclusion you derived for this test, it matters greatly if manufacturers use display mannequins with or without a head, but it is unclear which way is better.
Based on the conclusion you derived for this test, it is a good idea to use display mannequins without a head.
Based on the conclusion you derived for this test, it does not matter if manufacturers use display mannequins with or without a head.
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