## Annex 2: Interpreting results

The results of the research are based upon a sample survey therefore all figures quoted are estimates rather than precise percentages. The reader should interpret the data with statistical significance in mind.

All tables have a descriptive and numerical base, showing the population examined in it.

All proportions produced in a survey have a degree of error associated with them because they are generated from a sample of the population rather than the population as a whole. Any proportion measured in the survey has an associated confidence interval (within which the 'true' proportion of the whole population is likely to lie), usually expressed as ±x%. It is possible with any survey that the sample achieved produces estimates that are outside this range. The number of times out of 100 surveys when the result achieved would lie within the confidence interval is also quoted; conventionally the level set is 95 out of 100, or 95%. Technically, all results should be quoted in this way. However, it is less cumbersome to simply report the percentage as a single percentage, the convention adopted in this report.

Sub-group Size | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|

50 | 75 | 100 | 150 | 200 | 250 | 300 | 400 | 500 | 1025 | ||

Sample Estimate (lookup to nearest multiple of 5%) | 5% | 6.9% | 5.7% | 4.9% | 4.0% | 3.5% | 3.1% | 2.8% | 2.1% | 2.2% | 1.19 |

10% | 9.6% | 7.8% | 6.8% | 5.5% | 4.8% | 4.3% | 3.9% | 2.9% | 3.0% | 1.64 | |

15% | 11.4% | 9.3% | 8.0% | 6.6% | 5.7% | 5.1% | 4.6% | 3.5% | 3.6% | 1.95 | |

20% | 12.8% | 10.4% | 9.0% | 7.4% | 6.4% | 5.7% | 5.2% | 3.9% | 4.0% | 2.18 | |

25% | 13.8% | 11.3% | 9.8% | 8.0% | 6.9% | 6.2% | 5.6% | 4.2% | 4.4% | 2.36 | |

30% | 14.6% | 11.9% | 10.3% | 8.4% | 7.3% | 6.5% | 6.0% | 4.5% | 4.6% | 2.50 | |

35% | 15.2% | 12.4% | 10.8% | 8.8% | 7.6% | 6.8% | 6.2% | 4.7% | 4.8% | 2.60 | |

40% | 15.6% | 12.8% | 11.0% | 9.0% | 7.8% | 7.0% | 6.4% | 4.8% | 4.9% | 2.67 | |

45% | 15.9% | 12.9% | 11.2% | 9.2% | 7.9% | 7.1% | 6.5% | 4.9% | 5.0% | 2.72 | |

50% | 15.9% | 13.0% | 11.3% | 9.2% | 8.0% | 7.1% | 6.5% | 4.9% | 5.0% | 2.73 | |

55% | 15.9% | 12.9% | 11.2% | 9.2% | 7.9% | 7.1% | 6.5% | 4.9% | 5.0% | 2.72 | |

60% | 15.6% | 12.8% | 11.0% | 9.0% | 7.8% | 7.0% | 6.4% | 4.8% | 4.9% | 2.67 | |

65% | 15.2% | 12.4% | 10.8% | 8.8% | 7.6% | 6.8% | 6.2% | 4.7% | 4.8% | 2.60 | |

70% | 14.6% | 11.9% | 10.3% | 8.4% | 7.3% | 6.5% | 6.0% | 4.5% | 4.6% | 2.50 | |

75% | 13.8% | 11.3% | 9.8% | 8.0% | 6.9% | 6.2% | 5.6% | 4.2% | 4.4% | 2.36 | |

80% | 12.8% | 10.4% | 9.0% | 7.4% | 6.4% | 5.7% | 5.2% | 3.4% | 4.0% | 2.18 | |

85% | 11.4% | 9.3% | 8.0% | 6.6% | 5.7% | 5.1% | 4.6% | 3.5% | 3.6% | 1.95 | |

90% | 9.6% | 7.8% | 6.8% | 5.5% | 4.8% | 4.3% | 3.9% | 2.9% | 3.0% | 1.64 | |

95% | 6.9% | 5.7% | 4.9% | 4.0% | 3.5% | 3.1% | 2.8% | 2.1% | 2.2% | 1.19 |

Below is a worked example which explains how to interpret results presented in the analysis of the survey.

The percentage of respondents who were very or fairly satisfied with the whole rent review process was 53%, with a base of 485.

Using the statistical significance table above to find the 95% confidence intervals for each value, we can see that a base of 500 the lower limit of the 95% confidence interval is (53%-5%) 48% and the upper limit is (53%+5%) 58%.

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