With the introduction of On-Demand Television, such as Netflix, OSN Play, Shahid, Watch it, etc…, media producers will eventually have to start producing and broadcasting their shows in this new...

With the introduction of On-Demand Television, such as Netflix, OSN Play, Shahid, Watch it,
etc…, media producers will eventually have to start producing and broadcasting their shows in this new digital standard. Al-Nahar, trying to decide on their own strategy, conducted a poll in major Arabic cities and found that 39 out of 200 households was likely to purchase a streaming service within the next year and a half.
(a) Give an estimate and a 90% confidence interval for the true proportion of Arabic households
in major cities that are likely to purchase a streaming service over the next year-and-a-half period.
(b) Al-Nahar’s strategy is to proceed with a substantial investment in new technology if they are
at least 90% confident that the true proportion estimated using their poll is above 17%. Based on
this strategy, will Al-Nahar proceed with this investment?
(c) Based on this preliminary estimate they wanted to conduct a more extensive poll in order to
increase the accuracy of their estimate.
(i) What should their sample size be if they wanted to reduce their margin of error by a
the factor of two, still at a 90% confidence level?

(ii) What should their sample size be if they wanted to estimate the true proportion of
Arabic households in major cities that are likely to purchase a streaming service over the
next year-and-a-half period to within ±1% with 90% confidence?

please, solve this problem in a detailed answer