1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ad libitum [116K]
3 years ago
6

Soft drink consumption in New Zealand. A survey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zea

landers consume five or more servings of soft drinks per week. The data were obtained by an online survey of 2006 randomly selected New Zealanders over 15 years of age.a) What number of survey respondents reported that they consume five or more servings of soft drinks per week? You will need to round your answer. Why? b) Find a 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. c) Convert the estimate and your confidence interval to percents. d) Discuss reasons why the estimate might be biased.
Mathematics
1 answer:
lidiya [134]3 years ago
6 0
<h2>Answer with explanation:</h2>

Given : The proportion of New Zealanders consume five or more servings of soft drinks per week :\hat{p}= 0.16

a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006

b) Confidence interval for population proportion (p) :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = Sample proportion.

n= Sample size.

z* = Critical value.

For n= 2006 , \hat{p}= 0.16 and critical value for 95% confidence interval : z* = 1.96

Then , the required confidence interval will be :

0.16\pm (1.96)\sqrt{\dfrac{ 0.16(1- 0.16)}{2006}}

0.16\pm (1.96)\sqrt{ 0.000066999002991}

0.16\pm (1.96)(0.00818529186963)

0.16\pm 0.0160431720645

(0.16-0.0160431720645,\ 0.16+0.0160431720645)

(0.143956827935,\ 0.176043172064)\approx(0.144,\ 0.176)

i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. = (0.144,\ 0.176)

c) (0.144,\ 0.176)=(0.144\times100\%,\ 0.176\times100\%)

=(14.4\%,\ 17.6\%)176\times100\%)[/tex]

d) The estimate might be biased because the survey is taken online that means offline New Zealanders are out of consideration.

You might be interested in
A manager is comparing the cost of buying ball caps with the team emblem from two different companies. Company X charges a $50 f
Nady [450]

Answer:

10 ball caps

Step-by-step explanation:

In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.

How do we get this?

Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;

Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x

Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x

We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.

30 + 9x = 50 + 7x

We simply by taking like terms to the same sides

9x-7x = 50-30

2x = 20

x = 20/2 = 10

X = 10

So what this means is that manger has to buy 10 caps to have the same cost in both companies

3 0
3 years ago
Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock
MAVERICK [17]
I think it’s a if not i’m sorry
5 0
2 years ago
Need your help Plz help me
34kurt

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many solutions does 7x=-10+8x
iogann1982 [59]

Answer:

one: x=10

hope this helps

4 0
3 years ago
Papa johns has a pizza whose circumference is 16 Pi. What is the area of the pizza
gulaghasi [49]
The area of the pizza is <span>20.37. 

Hope this helps ^^</span>
8 0
3 years ago
Other questions:
  • Solve. 4x + 3 = 47
    12·2 answers
  • a jar contains red and blue marbles the probability that a randomly-selected marble is red is 1/4 if 27 of the marbles are blue
    8·1 answer
  • Benchmarks to estimate 2.81+3.72=
    5·2 answers
  • How to change one third into twelfths
    7·2 answers
  • A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She current
    11·1 answer
  • Here take some points friend! :)
    6·2 answers
  • What is the answer??? Only if you know please i will report you no games only if you know it please it’s geometry
    14·1 answer
  • Help me over here please
    6·1 answer
  • Find the surface area of this net ​
    15·1 answer
  • I need help asap please? and this is for the math question? what is 77x+93=360? put in a fraction and decimal and you can round
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!