If 18% of the beads in a bag of green 25% are red, and 40% are purple, what is the probability of choosing a bead that is either
red or green?
2 answers:
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Answer:
a) Statistic.
b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Step-by-step explanation:
a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.
b) We can use the statistic to estimate a confidence interval for the parameter of the population.
The standard error for the proportion is calculated as:
The margin of error is 0.01. We can use this value to determine the level of confidence that represents.
The formula for the margin of error is:
This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.
The interval for this margin of error is:
Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
