The city council of a suburb of Columbus is interested in the level of public support for a new recreation center. A marketing research firm is selected which then selects a simple random sample of 50 adult residents and contacts each to determine whether the resident would be interested in joining this recreation center if it were built. Of these, 35 indicated they would be interested in joining the recreation center. The chance that all 50 residents in a neighborhood end up being the sample of residents selected is

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Answer:

all adult residents in the suburb

Step-by-step explanation:

The chance that all 50 residents in a neighborhood end up being the sample of residents selected is;

the same as for any other set of 50 residents.

We are given;

Size of random sample of adult residents; n = 50

Number of adults selected that are interested in joining the recreation center; x = 35

Now, the population of interest here will be all the adults in the suburbs of Columbus.

Finally, we want to find the chance that all 50 residents selected in a neighborhood end up being the sample of residents selected.

The chance will simply be the same as any other set of 50 residents because it is still the same probability since it is still a random selection.

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