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A sample of 80 results in 30 successes. [You may find it useful to reference the...

A sample of 80 results in 30 successes. [You may find it useful to reference the z table.]
  

a. Calculate the point estimate for the population proportion of successes. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

b. Construct 90% and 99% confidence intervals for the population proportion. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)  

c. Can we conclude at 90% confidence that the population proportion differs from 0.5?

  • Yes, since the confidence interval contains the value 0.5.

  • Yes, since the confidence interval does not contain the value 0.5.

  • No, since the confidence interval contains the value 0.5.

  • No, since the confidence interval does not contain the value 0.5.



d. Can we conclude at 99% confidence that the population proportion differs from 0.5?

  • Yes, since the confidence interval contains the value 0.5.

  • Yes, since the confidence interval does not contain the value 0.5.

  • No, since the confidence interval contains the value 0.5.

  • No, since the confidence interval does not contain the value 0.5.

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Answer #1

c. Can we conclude at 90% confidence that the population proportion differs from 0.5?

d. Can we conclude at 99% confidence that the population proportion differs from 0.5?

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