b) Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey?

2.STATISTICAL INFERENCE

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 toincrease the accuracy of their…

As part of their efforts, the executives also surveyed managers across the country to determinestaffing shortages. Managers were encouraged, but not required, to submit the survey. From theresponses they received, 45 out of 52 managers said they were either “severely understaffed” or“understaffed.” Looking at the numbers, one of the executives is outraged. “How can we expect ourstores to be successful if almost 87% are understaffed?” Give a statistical response tothe executive to assure them that the staffing problem is probably not as bad as it seemsin the preliminary numbers.