Three randomly selected households are surveyed. The numbers of people in the households are 4​, 5​, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 4​, 5​, and 9. 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 the nine possible samples.

When pick the correct answer please pick one of the A, B, C answers below.

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion        H0:H0:  ? μ p  Select an answer = ≠ > <         H1:H1:  ? p μ  Select an answer = > < ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.)

The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance?  For this study, we should use    (t-test for a population mean,  z-test for a population proportion) The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____              H1: (symbol) (symbol) ____               The test statistic (?,t,z) = ____  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (symbol)  αα Based on this, we should  (accept, reject, fail to reject) the null hypothesis.…

Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.

A population has a normal distribution. A sample size of n is selected from this popuiation. Descriee theshape of the sampling distribution Of the sampre mean for eaen of the foliaung cars. a.73D23 b.n=450

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be:       H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________    (Please show your answer to 4 decimal places.)

Suppose the percentage of married couples who own a home is 33% for a given population. What is the standard error of the sampling distribution of proportions for the sample sizes n = 200, n = 300, and n = 400?

Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____.   a. 84     b. 87     c. 60     d. 20