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Chrome File Edit View History Bookmarks People Window Help 4) (52% Sat Feb 18 4:24 PM Q x o Statistics I MAT2 x Do Homework C Chegg study I Gu G Google How to take a scr G Google G Google C https:// /Student/PlayerHomework.aspx?homeworkld 418155790&questionld; 9&flushed; false&cld; 4392904&back; DoAssignment a E www.mathxl.com Kiara Rivera Statistics I MAT2058 S03 (8) Homework: W3: Assignment 2 Homework Save Score 0 of 6 pts HW Score: 34.58%, 20.75 of 60 pts 7 of 10 (5 complete) 6.4.15 Question Help When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is and this is not affected by how many boys or girls have previously been born. Determine tne propaDllities eacn sample proportion. Sample proportion of girls Probability Enter your answer in the edit fields and then click Check Answer 2 parts Check Answer Clear All remaining 18

Explanation / Answer

from above for two child 3 sample proportions are possible

with 0 girl out of 2 ; sample proportion =0/2 =0 and probabilty =1/4 as only bb subset out of 4 belongs to it.

with 1 girl out of 2; sample proportion =1/2 =0.5 and probabilty =1/2 as bg and gb 2 subset out of 4 belogs to it.

with 2 girl out of 2 ; sample proportion =2/2=1 and probability =1/4 as gg subset out of 4 belongs to it.

hence

sample proportion probability

0 1/4

1/2 1/2

1 1/4   

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