Cherry is a realtor. She made the graph below to show the amount of taxes paid on the houses she has sold. Which of the followin
g describes the rate at which the taxes changed?
It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.
It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.
1 answer:
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Answer:
0.88% probability that the sample proportion will differ from the population proportion by more than 5%
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For proportions p in a sample of size n, we have that
In this problem:
What is the probability that the sample proportion will differ from the population proportion by more than 5%?
Less than 0.19 - 0.05 = 0.14 or greater than 0.19 + 0.04 = 0.24. Since the normal distribution is symmetric these probabilities are equal, which means that we can find one of them and multiply by 2. So
Probability of being less than 0.14.
pvalue of Z when X = 0.14. So
has a pvalue of 0.0044
2*0.0044 = 0.0088
0.88% probability that the sample proportion will differ from the population proportion by more than 5%