Using a random sample of 5613 TV households, Acme Media Statistics found that 25.1 % watched the final episode of "When Will it End question mark" a. Find the margin of error in this percent.

b. Write a statement about the percentage of TV households in the population who tuned into the final episode of "When Will it End question mark"

Margin of Error (MOE) is a function of the critical value. We will choose a confidential interval of 95 %.

Solution is:

a) MOE = 0,011

b) We can affirm with 95 % of confidence that the porcentage of TV households in the population watching th final  episode of " When ...

would be between  25,1 - 0,011  and  25,1 + 0,011

In our question we got:

Sample size    n = 5613

p = 25.1 %    ( positive events expressed as porcentage )

q = 1 - p     q = 1 - 0,251    q = 0,749

According to the size of the sample, and the fact that

q×n    and   p×n   are both    q×n > 10   p×n > 10

We are in condition to apply the approximation of the binomial distribution to normal distribution and use table z scores

CI   = 95 %    then  confidence level   α = 5 %    α/2 = 0,025  and fom z-table we get the critical value

z(c) = 1,96

Now to find MOE

MOE = z(c)×√(p×q/n)  ⇒ MOE = 1,96 × √ ( 0,251×0,749)5613

MOE = 1,96 × 0,005787

MOE = 0,011

Related Link : link

If Confidential Interval is 95%

± 1.13432%

between 23.966% and 26.234% households in the population who tuned into the final episode of "When Will it End question mark"

Step-by-step explanation:

Given that:

Sample size (n). = 5613

Proportion (p) = 25.1% = 0.251

Margin of Error can be obtained using :

MOE = z * √p * (1 - p) / √n

Zscore at 95% confidence interval = 1.96

1 - p = 1 - 0.251 = 0.749

Hence,

Margin of Error :

1.96 * √0.251 * 0.749 / √5613

1.96 * (0.4335885 / 74.919957)

= 0.0113432

= ± (0.0113432) * 100%

= ± 1.13432%

B.) between (25.1 - 1.134)% = 23.966% and 25.1 + 1.134)% = 26.234% households in the population who tuned into the final episode of "When Will it End question mark"

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered