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You wish to test the following claim (HaHa) at a significance level of α=0.01α       Ho:p=0.19       Ha:p≠0.19 You obtain a sample of size n=360n=360 in which there are 57 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to two decimal places.) critical value = ±± What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) standardized test statistic =  The standardized test statistic is... in the critical region not in the critical region This standardized 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 not equal to 0.19. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19. The sample data support the claim that the population proportion is not equal to 0.19. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.19.

You wish to test the following claim (HaHa) at a significance level of α=0.01α       Ho:p=0.19       Ha:p≠0.19 You obtain a sample of size n=360n=360 in which there are 57 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to two decimal places.) critical value = ±± What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) standardized test statistic =  The standardized test statistic is... in the critical region not in the critical region This standardized 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 not equal to 0.19. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19. The sample data support the claim that the population proportion is not equal to 0.19. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.19.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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You wish to test the following claim (HaHa) at a significance level of α=0.01α

      Ho:p=0.19
      Ha:p≠0.19

You obtain a sample of size n=360n=360 in which there are 57 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate to two decimal places.)
critical value = ±±

What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)
standardized test statistic = 

The standardized test statistic is...

  • in the critical region
  • not in the critical region



This standardized 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 not equal to 0.19.
  • There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.19.
  • The sample data support the claim that the population proportion is not equal to 0.19.
  • There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.19.
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