Hypothesis Testing: Definition, Types & Examples

From the survey the number of female respondents is 47 and the number of male respondents is 43.

Step one: Hypotheses

Step two: Assumptions

Normality:

From the above we see that np and nq are greater than 10. Therefore, we assume that the sample is normally distributed.

We assume that the sample is independent and the population is ten times the sample size.

Lastly, we assume that the sample is randomly selected.

Step three: Alpha level is

Step four: Calculations

Step five: P-value

Using excel, we find that:

Step six: Conclusions

The p-value is greater than the alpha value which is 0.01. Therefore, we fail to reject the null hypothesis stating that the proportion of the respondents that represents women is greater than 55%.