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You wish to test the following claim (Ha) at a significance level of = 0.05. Ho:p=0.35 Ha:p>0.35 You obtain a sample of sizen = 668

You wish to test the following claim (Ha) at a significance level of = 0.05.

Ho:p=0.35

Ha:p>0.35

You obtain a sample of sizen = 668 in which there are 272 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assumingHois true) the probability of observing...

  • at most 272 successful observations
  • at least 272 successful observations

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =___________

The p-value is...

  • less than (or equal to)
  • greater than

This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null

As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.35.
  • There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.35.
  • The sample data support the claim that the population proportion is greater than 0.35.
  • There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.35.

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