Question

In: Statistics and Probability

Three randomly selected households are surveyed. The numbers of people in the households are 1,3, and...

Three randomly selected households are surveyed. The numbers of people in the households are 1,3, and 8. Assume that samples of size n=2 are randomly selected with replacement from the population of 1,3, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are nine possible samples.

1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8

Solutions

Expert Solution


Related Solutions

Three randomly selected households are surveyed. The numbers of people in the households are 1​, 3​,...
Three randomly selected households are surveyed. The numbers of people in the households are 1​, 3​, and 8. Assume that samples of size nequals=2 are randomly selected with replacement from the population of 1​, 3​, and 8. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 1,1​,    1​,3    1​,8    3​,1    3,3    3​,8    8​,1    8​,3    8​,8 a. Find the variance of each of the nine​ samples, then summarize the sampling distribution of the variances in the format of...
Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​,...
Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 1​, 2​, and 12. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 1​,1   1​,2   1​,12   2​,1   2​,2   2​,12   12​,1   12​,2   12​,12 a. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of...
2. Three randomly selected households are surveyed. The numbers of people in the households are 1​,...
2. Three randomly selected households are surveyed. The numbers of people in the households are 1​, 4​, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 1​, 4​, and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c). Sample            x1        x2 1          1          1 2          1          4 3          1          10 4          4          1 5          4          4 6          4          10 7          10        1 8          10        4 9          10        10...
Approximately 13% of the population are left-handed. If three people are randomly selected, what is the...
Approximately 13% of the population are left-handed. If three people are randomly selected, what is the probability that all are left- handed?   (round to 4 decimal places) If three people are randomly selected, what is the probability that at least 1 person is not left handed?   (round to 4 decimal places) Notice that these two events are complementary (the probabilities do add up to 1).
Suppose 250 randomly selected students in a college are surveyed to determine if they own a...
Suppose 250 randomly selected students in a college are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet. a. explain whether normal model can be used in this situation b. find the standard error. c. Construct the 95% confidence interval and explain what it means in the context of the problem d. based on the college database, the proportion of students that owns a tablet in this college is 36% What is...
When 328 college students are randomly selected and surveyed, it is found that 122 own a...
When 328 college students are randomly selected and surveyed, it is found that 122 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car. A) 0.328 < p < 0.416 B) 0.320 < p < 0.424 C) 0.310 < p < 0.434 D) 0.303 < p < 0.441
When 355 college students are randomly selected and surveyed, it is found that 129 own a...
When 355 college students are randomly selected and surveyed, it is found that 129 own a car. Construct a 96% confidence interval for the percentage of all college students who own a car. (3 decimal places)
​​​​​​A sample survey of 36 randomly selected households shows that the median household income of the...
​​​​​​A sample survey of 36 randomly selected households shows that the median household income of the eastern NC residents is $51,000, with a standard deviation of $1075. Test the (null) hypothesis that the actual (real) median household income is $52,752 at 0.05% confidence level.
12 Among 500 randomly selected adults were surveyed, there are 25% of them said that they...
12 Among 500 randomly selected adults were surveyed, there are 25% of them said that they used the Internet for shopping at least a few times a year. Construct a 90% confidence interval estimate of the percentage of adults who use the Internet for shopping. Select one: a. (20.0%, 30.0%) b. (26.0%, 34.0%) c. (21.8%, 28.2%) d. (24.7%, 31.3%) e. None of the other answers is true. 14 To study the effects of prenatal cocaine use on infants, on collects...
Among 500 randomly selected adults were surveyed, there are 25% of them said that they used...
Among 500 randomly selected adults were surveyed, there are 25% of them said that they used the Internet for shopping at least a few times a year. Construct a 99% confidence interval estimate of the percentage of adults who use the Internet for shopping.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT