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Given data:
Sample size
Sample proportion of people support candidate A:
Population proportion of people support Candidate A :
Check the condition: and
Null Hyposthesis:
Alternative Hypothesis:
The test statistics:
Plug in p=0.56, P=0.40 and n=100 in the above formula,
The table value of z at 10% of significance level is 1.28
Table value is less than the calculated value.
Hence is rejected at 10% level.
Therefore there is the evidence at an alpha level of 10% to conclude that the percentage of people who support candidate A has changed.