Hypothesis Testing-Homework 1 Solution - Grade One Essays

Hypothesis Testing-Homework 1 Solution

Hypothesis Testing Homework

With the information that you gather from the Summary Tables above, test the following (you can use excel when appropriate):

 

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Hypothesis Test #1:

 

Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance.

 

Step 1:  Clearly state a null and alternative hypothesis, identify the claim, and the type of test. 

 

Ho:  μ ≥ ≤ =

 

Ha:  μ < > ≠

 

Circle One:      Left Tailed Test             Right Tailed Test                       Two-Tailed Test

 

Step 2: Determine the Rejection Region

 

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

 

  1. a) Reject Ho if Z  ___________

 

  1. b) Reject Ho if Z ___________

 

  1. c) Reject Ho if Z is less than ___________ or greater than ___________ .

 

Step 3:  Give the value of the test statistic and the P-Value

 

Z = _____________                                                                P-Value = ______________

 

 

Step 4:  Clearly state your conclusion

 

Circle One:  Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

 

Step 5:  Explain what your conclusion means in context of the data.

 

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of births is _________ (GREATER THAN/LESS THAN/EQUAL TO) 5000 in the United States and territories at the 0.05 level of significance.

Hypothesis Test #2:

 

Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.

 

Step 1:  Clearly state a null and alternative hypothesis, identify the claim, and the type of test. 

 

Ho:  μ ≥ ≤ =

 

Ha:  μ < > ≠

 

Circle One:      Left Tailed Test                                   Right Tailed Test                       Two-Tailed Test

 

Step 2:  Determine the Rejection Region

 

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

 

  1. a) Reject Ho if Z  ___________

 

  1. b) Reject Ho if Z ___________

 

  1. c) Reject Ho if Z is less than ___________ or greater than ___________ .

 

Step 3:  Give the value of the test statistic and the P-Value

 

Z = ___________________                            P-Value = _____________________

 

Step 4:  Clearly state your conclusion

 

Circle One:  Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

 

 

Step 5:  Explain what your conclusion means in context of the data.

 

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of deaths is _________(GREATER THAN/LESS THAN/EQUAL TO)  6000 in the United States and territories at the 0.10 level of significance.

 

 

Hypothesis Test #3:

 

Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance.

 

Step 1:  Clearly state a null and alternative hypothesis, identify the claim, and the type of test. 

 

Ho:  μ ≥ ≤ =

 

Ha:  μ < > ≠

 

Circle One:      Left Tailed Test             Right Tailed Test                       Two-Tailed Test

 

Step 2:  Determine the Rejection Region

 

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

 

  1. a) Reject Ho if Z  ___________

 

  1. b) Reject Ho if Z ___________

 

  1. c) Reject Ho if Z is less than ___________ or greater than ___________ .

 

 

Step 3:  Give the value of the test statistic and the P-Value

 

Z = ____________________                                      P-Value = ______________________

 

Step 4:  Clearly state your conclusion

 

Circle One:  Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

 

 

Step 5:  Explain what your conclusion means in context of the data.

 

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of marriages is _________ (GREATER THAN/LESS THAN/EQUAL TO) 2500 in the United States and territories at the .05 level of significance.

 

 

 

Hypothesis Test #4:

 

Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance.

 

Step 1: Clearly state a null and alternative hypothesis, identify the claim, and the type of test. 

 

Ho:  μ ≥ ≤ =

 

Ha:  μ < > ≠

 

Circle One:      Left Tailed Test             Right Tailed Test                       Two-Tailed Test

 

Step 2:  Determine the Rejection Region

 

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

 

  1. a) Reject Ho if Z  ___________

 

  1. b) Reject Ho if Z ___________

 

  1. c) Reject Ho if Z is less than ___________ or greater than ___________ .

 

 

Step 3:  Give the value of the test statistic and the P-Value

 

Z = ___________________                                        P-Value= __________________

 

Step 4:  Clearly state your conclusion

 

Circle One:  Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

 

 

Step 5:  Explain what your conclusion means in context of the data.

 

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of divorces is _________ (GREATER THAN/LESS THAN/EQUAL TO) 4000 in the United States and territories at the 0.10 level of significance.

 

 

 

 

Hypothesis Test #5:  Make-Up Your Own Test

 

Determine if there is sufficient evidence to conclude the average amount of ________________ is _______________________ in the United States and territories at the ________ level of significance.

 

Step 1:  Clearly state a null and alternative hypothesis, identify the claim, and the type of test. 

 

Ho:  μ ≥ ≤ =

 

Ha:  μ < > ≠

 

Circle One:      Left Tailed Test             Right Tailed Test                       Two-Tailed Test

 

 

Step 2:  Determine the Rejection Region

 

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

 

  1. a) Reject Ho if Z  ___________

 

  1. b) Reject Ho if Z ___________

 

  1. c) Reject Ho if Z is less than ___________ or greater than ___________ .

 

 

Step 3:  Give the value of the test statistic and the P-Value

 

Z = _______________________                              P-Value = ____________________

 

Step 4:  Clearly state your conclusion

 

Circle One:  Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

 

Hypothesis Testing

Step 5:  Explain what your conclusion means in context of the data.

 

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of ________________ is _____________________ (GREATER THAN/LESS THAN/EQUAL TO)   ____________ in the United States and territories at the ________ level of significance.

 

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