Question

In: Math

6. Digital streaming has shifted some of the focus from traditional TV commercials to online advertisements....

6. Digital streaming has shifted some of the focus from traditional TV commercials to online advertisements.
The Harris poll reported in 2012 that 53% of 2,343 American adults surveyed said they watched digitally
streamed content. Calculate and interpret a 99% score CI for the proportion of all adult Americans
who watched digitally streamed content.

Expert Solution

6)

Solution :

Given that,

n = 2343

Point estimate = sample proportion = = 53% = 0.53

1 - = 1 - 0.53 = 0.47

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z_/2 = Z_0.005 = 2.576

Margin of error = E = Z_{/ 2} * $\sqrt$ (( * (1 - )) / n)

= 2.576 * ( $\sqrt$ ((0.53 * 0.47) / 2343)

= 0.027

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.53 - 0.027 < p < 0.53 + 0.027

0.503 < p < 0.557

The 95% confidence interval for the population proportion p is : (0.503 , 0.557)

milcah answered 7 months ago

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