You wish to test the following claim (Ha) at a significance level of α=0.02α       Ho:p=0.7       Ha:p>0.7 You obtain a sample of size n=629 in which there are 446 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: choose one of two possible answers. in the critical region not in the critical region This standardized test statistic leads to a decision to: choose one of three possible answers. reject the null accept the null fail to reject the null As such, the final conclusion is: choose one of four possible answers There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.7. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.7. The sample data support the claim that the population proportion is greater than 0.7. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.7.

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You wish to test the following claim (Ha) at a significance level of α=0.02α

      Ho:p=0.7
      Ha:p>0.7

You obtain a sample of size n=629 in which there are 446 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: choose one of two possible answers.

  • in the critical region
  • not in the critical region



This standardized test statistic leads to a decision to: choose one of three possible answers.

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

As such, the final conclusion is: choose one of four possible answers

  • There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.7.
  • There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.7.
  • The sample data support the claim that the population proportion is greater than 0.7.
  • There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.7.
Expert Solution
Step 1

Givenα=0.02n=629x=number of successful observations=446p^=xn=446629=0.7091

The null and alternative hypothesis:H0: p=0.7      versus    H1: p>0.7

Step 2

critical value:Zα2=Z0.022=2.33              (by using normal probability table)

Test statistic:Z=p^-pp×(1-p)n   =0.7091-0.70.7×(1-0.7)629   =0.498

 

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