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White raven [17]
3 years ago
15

A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will

miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

Answer:

35\% represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    k = 35\% = 0.35

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         \^ p = \frac{a+ b}{2}

=>      \^ p = \frac{28 + 42 }{2}

=>      \^ p = 35\%

Hence  35\% represents the sample proportion

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