The response to a survey gave the following observed numbers of 'yes' and 'no' responses:

ResponseYes: 30No: 55

Test the hypothesis:H0: in the population 1/4 respond 'Yes' and 3/4 respond 'No'.

Under thenull hypothesis, theexpected numberof responses would be:

1.YesAnswer

(2 dp)

2.NoAnswer

(2 dp)

3.What is the value of the chi-squared statistic?_.__Answer

(2 dp)

4. What are the appropriate degrees of freedom?Answer

5.Is the p-value

Greater than 0.05?Less than 0.05?6.At a 5% significance level do you

Not reject the null hypothesis?Reject the null hypothesis?7.So we conclude the population proportion of'Yes'responses

could be 1/4is significantly different from 1/4.