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
BartSMP [9]
3 years ago
5

According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. What is the probability the proportion of Americans who can order a meal in a foreign language is greater than 0.5
Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

You might be interested in
Does every line have a slope and y-intercept?Explain.
Sophie [7]

Answer:

Step-by-step explanation:Yes they both do, If u get the the number from the y-intercept and put it in the graph. and then get the slope if it is a decimal (Rise/Run) Put it in the then you have the answer

3 0
3 years ago
You start hiking at an elevation that is 80 meters below base camp.
Arte-miy333 [17]

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since a negative value is below the base camp, this means that you are now 38 m below base camp.

6 0
3 years ago
1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0
3 years ago
Plsss help meeeee 7^-8 divided by 7^-11
Andrej [43]

Answer:

i think the answer is 7^3

Step-by-step explanation:

when dividing numbers with exponents, you just subtract the smaller exponent from the larger one

pls tell me if im wrong

4 0
3 years ago
Read 2 more answers
PLZ SOMEONE HELP ME I NEED HELP PLEASEE
dezoksy [38]

Answer:

about 35 years rounding its 36

Step-by-step explanation:

i converted evrything to positive and did 1371 minus 1296 to get 75 and i divided that by 2.0834

4 0
3 years ago
Read 2 more answers
Other questions:
  • Select all pairs of corresponding angles. Assume the lines are parallel.
    10·2 answers
  • DO,K = (0, 2) (0, 6) The scale factor is
    15·2 answers
  • 15. Marteen wants to paint 2/3 of her room today. She wants to paint 1/4
    6·2 answers
  • X + y = -1<br> 4x - 2y = -16
    11·1 answer
  • Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
    14·1 answer
  • A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax incl
    5·1 answer
  • Two rectangular sheets of glass have equal perimeters. One has a length of 36 inches and a width w. The other has a length of 26
    13·1 answer
  • PLEASE HELP ILL GIVE BRAINLIST IF CORRECT.
    5·1 answer
  • Please help brainliest, thanks, five star
    10·1 answer
  • Sara wants to buy a tennis racket for $120. She has $40 and is saving $10 every week. The owner of the store decreases the racke
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!