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

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okpalawalter8 okpalawalter8 · Answer 1 · 2020-12-03T01:43:21+01:00

Answer:

[tex]35\%[/tex] 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 [tex]k = 35\% = 0.35[/tex]

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

[tex]\^ p = \frac{a+ b}{2}[/tex]

=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]

=> [tex]\^ p = 35\%[/tex]

Hence [tex]35\%[/tex] represents the sample proportion