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12 Mar 2024, 07:38
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Exactly one product or service was categorized as a necessity by fewer participants in 2006 than in 1996.: Yes
Exactly half of the products and services in the 1996 survey were categorized as a necessity by a majority of survey participants.: Yes
Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants, exactly 60% were categorized as necessities by a majority of the 2006 survey participants.: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
73% (03:13) correct
27%
(03:28)
wrong
based on 867
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The table shows the results of a survey of 1000 households conducted in 1996 and 2006. In 2006, participants were asked to categorize each of 10 products and services as either luxury or a necessity; in 2006, 2 additional products and services were included, increasing the total number to 12.
For each of the following statements about this data, select Yes if the statement can be inferred from the given information. Otherwise, select No.
1996 | 2006 | |||
| Luxury | Necessity | Luxury | Necessity | |
|---|---|---|---|---|
| Automobile | 70 | 930 | 90 | 910 |
| Automobile air-conditioning | 590 | 410 | 409 | 591 |
| Cable TV | 833 | 167 | 671 | 329 |
| Cell phone | n/a | n/a | 517 | 483 |
| Clothes dryer | 375 | 625 | 166 | 834 |
| Clothes washer | 139 | 861 | 105 | 895 |
| Dishwasher | 871 | 129 | 656 | 344 |
| High-speed Internet | n/a | n/a | 715 | 285 |
| Home air-conditioning | 495 | 505 | 299 | 701 |
| Home computer | 741 | 259 | 472 | 528 |
| Microwave oven | 680 | 320 | 317 | 683 |
| TV set | 404 | 596 | 353 | 647 |
For each of the following statements about this data, select Yes if the statement can be inferred from the given information. Otherwise, select No.
| Yes | No | |
| Exactly one product or service was categorized as a necessity by fewer participants in 2006 than in 1996. | ||
| Exactly half of the products and services in the 1996 survey were categorized as a necessity by a majority of survey participants. | ||
| Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants, exactly 60% were categorized as necessities by a majority of the 2006 survey participants. |
ShowHide Answer
Official Answer
Exactly one product or service was categorized as a necessity by fewer participants in 2006 than in 1996.: Yes
Exactly half of the products and services in the 1996 survey were categorized as a necessity by a majority of survey participants.: Yes
Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants, exactly 60% were categorized as necessities by a majority of the 2006 survey participants.: Yes
22 May 2025, 01:14
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parkhydel
Exactly one product or service was categorized as a necessity by fewer participants in 2006 than in 1996.
Sort by 2006 Necessity.
Start comparing the column of '1996 Necessity' against '2006 Necessity'. The column of 2006 Necessity is always greater except for 'Automobile'.
Hence it is true that exactly one product or service was categorized as a necessity by fewer participants in 2006 than in 1996.
Select Yes
Exactly half of the products and services in the 1996 survey were categorized as a necessity by a majority of survey participants.
Sort by 1996 Necessity.
There were 1000 participants so 'majority' is 'more than 500'
Start from the bottom of the 1996 Necessity column. 5 of the products have values more than 500. Hence exactly half of the 10 products of 1996 were categorized as a necessity by a majority of survey participants.
Select Yes
Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants, exactly 60% were categorized as necessities by a majority of the 2006 survey participants
Take one part at a time.
"Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants" - Sort by '1996 Luxury'. There are 5 products where more than 500 people are there.
Hold on to these 5.
"exactly 60% were categorized as necessities by a majority of the 2006 survey participants" - Exactly 60% of 5 is 3. So exactly 3 were categorized as necessities by a majority of the 2006 survey participants.
Look in the 2006 Necessities column. Computer, Oven and Auto AC are the ones that have a value of more than 500. So exactly 3 were categorized as necessities by a majority of the 2006 survey participants. Correct.
Select Yes
Here is a discussion on another official TA question: https://youtu.be/OyN_szEDEPw
General Discussion
14 Mar 2024, 20:16
Kudos
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Question 3:
Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants= Automobile air-conditioning, Cable TV, Dishwasher, Home computer, and Microwave oven = total 5 products.
exactly 60% were categorized as necessities by a majority of the 2006 survey participants. = Automobile air-conditioning, Home computer, and Microwave oven = 3 products.
3/5*100=60%
Answer: Yes
Of the products and services that were categorized as luxuries by a majority of the 1996 survey participants= Automobile air-conditioning, Cable TV, Dishwasher, Home computer, and Microwave oven = total 5 products.
exactly 60% were categorized as necessities by a majority of the 2006 survey participants. = Automobile air-conditioning, Home computer, and Microwave oven = 3 products.
3/5*100=60%
Answer: Yes
