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In a survey of smartphone owners,
64% of a random sample of younger adults aged 18-29 used their phones to listen to music or podcasts, compared to
21% of a random sample of older users who did so. Based on the results of this survey, which of the following conclusions are valid?
I : Younger adults are more likely to listen to music or podcasts on their smartphones than are older adults.
II : Older adults like music less than younger adults.
III : Older adults do not listen to music on their smartphones because they find it inconvenient.
IV : Younger adults are more likely than older adults to own smartphones.
Choose 1 answer:
(A) I only
(B) I and II
(C) II only
(D) I, II, III, and IV

In a survey of smartphone owners, $64 \%$ of a random sample of younger adults aged $18$ $-29$ used their phones to listen to music or podcasts, compared to $21 \%$ of a random sample of older users who did so. Based on the results of this survey, which of the following conclusions are valid? $\newline$ I : Younger adults are more likely to listen to music or podcasts on their smartphones than are older adults. $\newline$ II : Older adults like music less than younger adults. $\newline$ III : Older adults do not listen to music on their smartphones because they find it inconvenient. $\newline$ IV : Younger adults are more likely than older adults to own smartphones. $\newline$ Choose $1$ answer: $\newline$ (A) I only $\newline$ (B) I and II $\newline$ (C) II only $\newline$ (D) I, II, III, and IV

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Interpret confidence intervals for population means

Full solution

Q. In a survey of smartphone owners,

64 \%

of a random sample of younger adults aged

18

-29

used their phones to listen to music or podcasts, compared to

21 \%

of a random sample of older users who did so. Based on the results of this survey, which of the following conclusions are valid?

\newline

I : Younger adults are more likely to listen to music or podcasts on their smartphones than are older adults.

\newline

II : Older adults like music less than younger adults.

\newline

III : Older adults do not listen to music on their smartphones because they find it inconvenient.

\newline

IV : Younger adults are more likely than older adults to own smartphones.

\newline

Choose

1

answer:

\newline

(A) I only

\newline

(B) I and II

\newline

(C) II only

\newline

(D) I, II, III, and IV

Calculate Percentage Difference: Calculate the percentage difference between younger and older adults who use their phones to listen to music or podcasts. $\newline$ $64\%$ of younger adults - $21\%$ of older adults = $43\%$ difference.
Analyze Survey Results: Analyze the given statements based on the calculated percentage difference. $\newline$ Statement I: Younger adults are more likely to listen to music or podcasts on their smartphones than are older adults. This is supported by the survey results.
Examine Statement II: Examine Statement II: Older adults like music less than younger adults. This conclusion is not supported by the survey data; the survey only provides information about the usage of smartphones for listening to music or podcasts, not about the general liking of music.
Examine Statement III: Examine Statement III: Older adults do not listen to music on their smartphones because they find it inconvenient. The survey does not provide information about the reasons for not using smartphones to listen to music, so this conclusion is not valid.
Examine Statement IV: Examine Statement IV: Younger adults are more likely than older adults to own smartphones. The survey does not provide information about smartphone ownership, only about the usage for listening to music or podcasts.

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