What is 3/10x7 btw its a fraction
2 answers:
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Answer: Six places to the right
Step-by-step explanation:
For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.
Given:
"b" is the base and "n" is the exponent.
In this case, you have the following multiplication provided in the exercise:
Notice that the base 10 has an exponent 6. This indicates the following:
By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.
Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.
Answer:
a) The 95% confidence interval would be given (0.070;0.121).
b) "increase the sample size n"
"decrease za/2 by decreasing the confidence"
Step-by-step explanation:
Notation and definitions
number of vehicles classified as sports utility.
random sample taken
estimated proportion of vehicles classified as sports utility vehicles.
true population proportion of vehicles classified as sports utility vehicles.
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)
The confidence interval would be given by this formula :
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.070;0.121).
We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .
(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)
For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate