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? Safari File Edit View History Bookmarks window Help M 90% Thu 7:30 PM a E mathxl.com Stat 201 Spring 2018 Brian J. Stevens lexi alberts4/5/18 7:29 PM Course Home Homework: ELQ Proportion Confidence Intervals Sav E Chegg Study home / study / math / statistics and probability /statis 16.1.19-T Question: Safari File Edit Vi 0f520 broiler chickens purchased trom various kinds of food stores in different regions of a country and tested for types of bacteria that cause food-bome illnesses, Score: 0 of 1 pt | 9 of 25 (22 complete) ? HW Score: 74%, 18.5 of 25p : Question Help 31% were infected with a particular bacterium. a) Construct a 99% confidence interval. b) Explain what your confidence interval says about chicken sold in the country. c) A government spokesperson claimed that the sample size was too small, relative to the billions of chickens slaughtered each year, to generalize. Is this criticism valid? Safari Filo Edn View Histary Boolcmarks Window Halp a) What is the 99% confidence interval? The 99% confidence interval is from Round to one decimal place as needed.) 201-Spring 2018-Brian Sevens MyLal Homework: ELQ-Proportior 1% to %. Score: 0 of 1 pt X Section 16.4 Exercise 7-T Enter your answer in the edit fields and then click Check Answer Clear All Check Answer remaining Erter your anewar in the anewor box and then click Check ta A perts showing Chega Internation. Macroeco... Chapter Contests Captured Lectures Stats 4th Edition 19th Edition 5th Edition

Explanation / Answer

Solution : given that n = 520,p = 31% = 0.31,q = 1-p = 0.69
a) 99% confidence interval for z = 2.576

=> p +/- z*sqrt(p*q/n)
=> 0.31 +/- 2.576*sqrt(0.31*0.69/520)
=> 0.2577,0.3622
the 99% confidence interval is from 25.8% to 36.2%
b) we are 99% confident that between 25.8% and 36.2% of the chicken sold in the country were infected.
c) No,until the necessary assumptions and conditions for the confidence interval are met,the results can be generated.

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