Explain whether each of the following situations meets the conditions for which the Rule for Sample Proportions applies. If not, explain which condition is violated.
a. You are interested in knowing what proportion of days in typical years have rain or snow in the area where you live. For the months of January and February, you record whether there is rain or snow each day, and then you calculate the proportion of those days that had rain or snow.
b. A large company wants to determine what proportion of its employees are interested in on­site day care. The company asks a random sample of 100 employees and calculates the sample proportions who are interested.