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Answer:
There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.
Step-by-step explanation:
We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be α=0.05
The suburban sample has a proportion of
The downtown sample has a proportion of
The average of proportion is:
The standard deviation of the difference of proportions is:
Then, we can calculate the value of the statistic z
The P-value for this z is:
The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.