Determining the Sampling Distribution of a Proportion
According to a well-known newspaper journal, 58.3% of the 222,900 households in a particular county get the Sunday edition of the local newspaper. Suppose that random samples of 200 households are selected.
In what proportion of the samples will between 55% and 60% of the households get the Sunday edition of the newspaper?
What are the specific steps involved in converting P(0.55 < Ps <0.60) to P(-0.95 < Z < 0.49)?
Solution Preview
We should change the normal distribution into Standardized Normal Distribution.
<br>If the normal distribution is X ~ (u, s)
<br>Where u is the mean of X and s is its standard ...
Solution Summary
The solution addresses the fact that according to a well-known newspaper journal, 58.3% of the 222,900 households in a particular county get the Sunday edition of the local newspaper. Suppose that random samples of 200 households are selected.
In what proportion of the samples will between 55% and 60% of the households get the Sunday edition of the newspaper?
P(0.55 < Ps <0.60) = P(-0.95 < Z < 0.49) = 0.5168
0.49 in the Cumulative Standardized Normal Distribution Table (= 0.6879)
What are the specific steps involved in converting P(0.55 < Ps <0.60) to P(-0.95 < Z < 0.49)?
... size is not given we cannot determine the probability. ... When determining the sample size for a proportion... distributed population d. Cannot be determined from the ...
... a. Show the sampling distribution of p, the proportion of late flights in a sample of 1000 ... b. Determine the probability that the sample proportion will be ...
... a. Show the sampling distribution of x where x is the sample mean annual cost of ... b. Determine the probability that the sample mean is within $100 of the ...
... population, which cannot be assumed to follow a normal distribution. It is used to determine if there is a ... be sampled via the simple random sampling method. ...
Sampling Distribution of Sample Proportion.. 1) A store has determined that 25% of all sales are credit sales. A random sample of 75 sales is selected. ...
... 4. What is sampling with replacement, and why is it used? ... Then, determine whether the tail is to the right or ... 2. A distribution has a standard deviation of σ=4 ...
... A sample of 12 nails was selected and their lengths determined. ... alternate hypotheses Calculate the mean and standard deviation Determine which test ...
... 9. A bank is interested in determining whether their ... 5. A random sample of 200 observations from a ... 6. Determine if there is enough statistical evidence with 99 ...
... 13 When determining the sample size for a proportion... Answer: d. Cannot be determined from the information ... size is not given we cannot determine the probability. ...
... to Table 10-3, state the test statistic for determining if the ... Save An insurance company has called a consulting firm to determine if the ... cannot be determined. ...
