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A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 150150 randomly selected voters is taken from the more than 2 , 000 2,0002, comma, 000 voters in the population, and 60 % 60`, percent of those selected plan to vote for the incumbent candidate. The pollster wants to use this data to construct a one-sample z zz interval for a proportion. Which conditions for constructing this confidence interval did their sample meet?

Respuesta :

opudodennis

Answer:

[tex]1.\ \ np\geq 10\\\\2.\ \ n\geq 10x[/tex]

Step-by-step explanation:

-Let x be the sample size and n the population size

-The conditions for a one-sample proportion z-test are:

-The sample is randomly selected from the population.

-The sample size is greater than or equal to ten times the population size:

[tex]n\geq 10x\\\\n=2000\\x=150\\10x=1500\\\therefore n\geq 10x[/tex]

-The expectation np is greater than or equal to 10:

[tex]np\geq 10\\n=2000, p=0.6\\np=1200\\\\Hence, np\geq 10[/tex]

Answer:

it is all three options

Step-by-step explanation:

khan's explanation:

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