Please show each step Three randomly selected households are surveyed. The numbe

Question

Please show each step

Three randomly selected households are surveyed. The numbers of people in the households are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. 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. 2, 2 2, 3 2, 10 3, 2 3, 3 3, 10 10, 2 10, 3 10, 10

Explanation / Answer

for above sample values

adding duplicate values probabilty distribution table is given below:

mean of sample proportion =0*4/9+(1/2)*(4/9)+1*(1/9)=3/9=1/3

therefore above sample proportion make a good estimator of the population proportion.

x1 x2 sample proprtion probability 2 2 0    1/9 2 3 1/2 1/9 2 10 0    1/9 3 2 1/2 1/9 3 3 1    1/9 3 10 1/2 1/9 10 2 0    1/9 10 3 1/2 1/9 10 10 0    1/9

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.