1 Proportion

Overview | How to | Example

 


 

Overview

The 1 Proportion conducts a hypothesis test and calculates a confidence interval of the population proportion. It is a test of one binomial proportion.

Test Null Hypothesis, H0 Alternate Hypothesis, H1
One-tailed p = p0 p < p0 or p > p0
Two-tailed p = p0 p <> p0

where p is the population proportion and p0 is the hypothesised value

 


 

How to

At the Excel Menu (For Excel 2007, go to Add-ins first)

  1. Choose ProcessMA > Statistics > Basic Statistics > 1 Proportion

  2. For Summarized Data:

    1. In No. of Trials, enter the number of trials (Integer, >=Successes)

    2. In No. of Successes, enter the number of successes within the set of trials (Integer, >=0)

  3. For Raw Data:

    1. In Variable, select the column containing the raw data (Exactly 2 distinct values, success and failure)

  4. In Test Proportion, enter hypothesized proportion (Numeric, >0 & <1)

  5. In Alternate, select the appropriate alternate test

  6. In Confidence Level, enter value for confidence level (Numeric, >0 & <1)

  7. Click OK

 

 

Example

A telecommunication company recently launched a new customer help service. The company conducted a customer survey to find out if customer satisfaction has improved from last year’s 68%. 860 customers were randomly selected for the survey and of which 590 were satisfied.

  1. Open data worksheet by choosing ProcessMA > Tools > Data

  2. Choose ProcessMA > Statistics > Basic Statistics > 1 Proportion

  3. Click Summarized Data

  4. In No. of Trials, enter 860

  5. In No. of Successes, enter 590

  6. In Test Proportion, enter 0.68

  7. In Alternate, select Greater than

  8. Click OK

 

Results & Interpretation

For a desired a = 0.05, since p = 0.3519 > a, we fail to reject H0. Therefore, we conclude that there is no significant evidence that customer satisfaction has improved.

 


 

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