A report states that 24% of email is spam. Consider a random sample of 400 emails, where each is categorized as being spam or not. Standard 7: Fully describe the sampling distribution of the proportion of email which is spam in samples of this many. Sampling distribution: The mean is _____ (Give value to 4 digits after the decimal point.) The standard deviation iS ______ (Give value to 4 digits after the decimal point.)
Standards 7 & 8 (combined) Exercise
A report states that 24% of email is spam. Consider a random sample of 400 emails, where each is categorized as being spam or not.
Standard 7: Fully describe the sampling distribution of the proportion of email which is spam in samples of this many.
Sampling distribution:
The mean is _____
(Give value to 4 digits after the decimal point.)
The standard deviation iS ______
(Give value to 4 digits after the decimal point.)
The shape is ______
(normal or not normal) because a random sample was
collected, np =
and n(1-p) =
Give the values to the nearest whole numbers (no decimal digits).
which are large enough (10 or more).
Standard 8: Using the information above, consider the probability the sample has 80 or less emails which are spam.
The z score is calculated to be ________
(Give value to 2 digits after the decimal point.)
This gives a probability of ________
spam. (Give the value to 4 digits after the decimal point.) that the sample will have 80 or less emails which are
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