Question

In: Statistics and Probability

A. The percentage of the three different political affiliations of the citizens of the United Kingdom...

A. The percentage of the three different political affiliations of the citizens of the United Kingdom is presented in the table below.

Political Party Percentage

Conservative Party 47%

Labour Party 37%

Other 16%

  • A random sample of 200 UK citizens are taken.

A-1) What is the sampling distribution for the sample proportion of UK citizens who support the Conservative Party?

A-2) What is the sampling distribution for the sample proportion of UK citizens who support the Labour Party?

A-3) What is the sampling distribution for the sample proportion of UK citizens who support neither the Conservative nor Labour Party?

A-4) What is the approximate probability that the sample proportion of UK citizens who support the Conservative party is higher than 0.47?

A-5) What is the approximate probability that the sample proportion of UK citizens who support the Labour party is less than 0.30?

A-6) What is the approximate probability that the sample proportion of UK citizens who support neither the Conservative nor Labour Party falls between 0.1 and 0.2?

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