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News Stories

APSTAT-KU8AFL

A TV broadcaster is deciding on news stories for the 10 pm evening news.

The network tries to make sure stories cover an even mixture of four news topics: school, crime/police activity, community, and national.

Suppose over the last year the network covered $980$ stories, and $204$ of these stories involved national news.

Is this evidence that the network is covering fewer national news stories than it should?

A

No, the sample is too small to make any conclusions.

B

Yes, since $204$ is less than $np = 980 \cdot 0.25 = 245$.

C

Yes, since the result of $204$ out of $980$ is more than three standard deviations away from the mean.

D

No, since $\frac{204}{980}$ = $20.8\%$, which is within $5\%$ of the targeted goal.

E

Unable to tell as conditions are not met.