Statistics
A market survey is given to 1000 people. One of the questions concerns whether the person recognizes the brand name X. It is known that roughly 60% of people respond “yes” though this varies to some extent over time, and one of the purposes of the survey is to monitor this.
a) How many of the 1000 people would you expect to recognize brand X? Your answer should not be a single number!
b) Based on your answer to (a), how uncertain and unreliable is the proportion of people who recognize brand X?
c) If a particular survey gave the result of 62% recognition and then a month later the proportion had dropped to 57%, would you be convinced that brand recognition is really decreasing?
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