Question

# A survey of the breakfast habits in Europe by the European Breakfast Cereal Association shows that...

A survey of the breakfast habits in Europe by the European Breakfast Cereal Association shows that the primary breakfast food for 34% of Europeans is breakfast cereals. A cereal producer in Turkey believes the figure is lower for Turkey. To test this idea, she contacts a random sample of 550 Turkish residents and asks which primary breakfast food they consumed for breakfast that day. Suppose 171 replied that breakfast cereal was the primary food. Using a level of significance of 0.05, test the idea that the cereal figure is lower for Turkey.

The null hypothesis is, for Turkey

The alternate hypothesis is

Sample proportion for number of People who had cereal as breakfast in Turkey

Value of the test statistics is given by

The P-value corresponding to a one-tailed z score of -1.47 is 0.071

The significance level is 0.05

As we can observe, the p-value is greater than the significance level. Hence, the p-value is not significant and hence we would fail to reject the null hypothesis.

So,

is true and

Hence, the cereal figure is not lower in Turkey.