A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.
Answers
Answer:
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
Step-by-step explanation:
Given the data in the question;
To test whether population proportion p is overstated;
Null hypothesis H₀ : p = (75%) = 0.75
Alternative hypothesis H₁ : = < (75%) < 0.75
now, sample proportion p" = 64 / 100 = 0.64
from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}
so, the number of times p"<0.64 in 150 simulations is 5
Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.
Given data in the question:
To test whether population proportion p is overstated; Null hypothesis H₀ : p = (75%) = 0.75 Alternative hypothesis H₁ : = < (75%) < 0.75Now, sample proportion p" = 64 / 100 = 0.64
From the dot plot below,
we will determine the p-value for test { P(p" < 0.64)} The number of times p"<0.64 in 150 simulations is 5Therefore:
P(p" < 0.64 ) = 5 / 150 = 0.0333 P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.
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Related Questions
4/5+2/50 find sum and type in whole numbers or fractions
Answers
Answer:
Step-by-step explanation:
Least common denominator of 5 , 50 = 50
[tex]\frac{4}{5}+\frac{2}{50}=\frac{4*10}{5*10}+\frac{2}{50}\\\\=\frac{40}{50}+\frac{2}{50}\\\\=\frac{40+2}{50}\\\\=\frac{42}{50}\\\\=\frac{21}{25}[/tex]
The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?
Answers
Answer:
9
Step-by-step explanation:
12×0.75=9
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
Answers
$50 x 10 members = $500
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
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There are 16 ounces in 1 pound. Learn to convert pounds to ounces.
Answers
Answer:
Since the are 16 ounces in a single pound, when converting there be 16 ounces for every pound.
Step-by-step explanation:
For example 1 pound = 16 ounces
2 pound = 32 ounces
3 pound = 48 ounces etc.
9.999 round off to the nearest 1000
Answers
Answer:
0
Step-by-step explanation:
9.999 rounded to the nearest 1000 is 0
True or False?
k = 2 is a solution to the inequality 8k + 4 > 18.
Answers
Answer:
True
Step-by-step explanation:
Substitute 2 with k
8(2)+4
16+4
20 is greater than 18
20>18
I need to know the area of this triangle
Answers
Answer:
the area is 4 square
Step-by-step explanation:
beacuse of the shape
After kicking, one coach likes to play practice games with 6 players on each team. She doesn't like any team to have more or fewer than 6 players and she doesn't like anyone to be left off a team. What are two possible numbers of players who must show up to practice so that the coach can make these teams?
Answers
Answer:
The explanation is given below:
Step-by-step explanation:
The computation of the two possible numbers of players is shown below:
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
It can be any of them
These are the possibilities
Measure these angles.
a)
b)
Answers
Answer:
Step-by-step explanation:
Angle A = 55 degrees. Angle B = 61 degrees.
The measure for part a is 55 degree.
The measure for part b is 61 degree.
What is Acute Angle?An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.
An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).
Given:
from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.
Also, we know that Angles which are less than 90 degree is acute angle.
So, the both angles are less than 90.
The measure for part a is 55 degree.
and, the measure for part a is 61 degree.
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A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).
a. 0.730
b. 0.765
c. 0.770
d. 0.795
Answers
Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.
What is a confidence interval?
It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.
In this problem, the interval is [0.726, 0.780], hence, the estimate is of:
(0.726 + 0.78)/2 = 0.753
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What is the difference between 3 and 1 4/6
Answers
Answer:
1 2/6
Step-by-step explanation:
Explanation: 3 - 1 1/6
Convert the mixed number to an improper fraction
3 - 7/6
Calculate the difference
11/6
That’s how I got meh answer
Which expression is equivalent to 7^k^2 where k is an even number?
Answers
Answer:
49k
Step-by-step explanation:
find the sequence of -1, 1, __, 5, __
Answers
the pattern is +2 to each number
If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answers
Answer:
Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
Step-by-step explanation:
Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:
3/4 = 0.75 + 25 = 25.75
125 x 25.75 / 100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
A number x decreased by 6 is at most 11.
Answers
Answer:
17?
Step-by-step explanation:
ten is equal to two times a number plus 3.6.
Answers
Answer:
3.2
Step-by-step explanation:
Make an equation!
10=2x+3.6
isolate the variable:
6.4=2x
divide by 2
3.2=x
i hope this helps!
Answer:
3.2
Step-by-step explanation:
10= 2x + 3.6
subtract 3.6 from both sides
2x = 6.4
divide both sides by 2
x = 3.2
The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False
Answers
Answer:
True l True-----------------^~^
During one year, the Greens real estate bill included $364 for city services. The fire department received 56% of that amount. How much money went to the fire department?
Answers
Answer:
$203.84
Step-by-step explanation:
56% of 364 is 203.84 so that's how much they got
3(x + y) (2x - 3y) + (x + y)×2 factorize
Answers
Answer:
(x + y) (6 x - 9 y + 2)
6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y
1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)
Step-by-step explanation:
its one of these 3 answers
concert tickets cost $30,$40 or $50 if you buy a ticket online you pay an extra $3 as a booking fee. what percentage of each tickets price is the booking fee?
Answers
Answer:
$30 = 10%
$40 = 13.34%
$50 = 16.67%
Step-by-step explanation:
To find the answer you divide the cost of the ticket by the booking fee to get your answer.
The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths.
The percentage of x of the y is given as,
x/y × 100
Thus, a percentage of $3 of $30 will be,
3/30 x 100 = 10%
The percentage of $3 of $40 will be,
3/40 x 100 = 7.5%
The percentage of $3 of $50 will be,
3/50 x 00 = 6%.
Hence "The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%".
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ronald has 2 quarters, 4 dimes, 3 nickels, 6 pennies in his pockets. without looking, he pulls a coin out of his pocket. what is the probability that he pulls out a nickel?
Answers
Question... factor 28+4x
Answers
Answer:
4(7 + x)
Step-by-step explanation:
28 + 4x
4 ⋅ 7 + 4x
4(7 + x)
good luck hope this helps :)
Find the greatest common factor for the terms involved in the polynomial.
In this case, the greatest common factor between 28 and 4 is 4.
So a 4 factors out of this polynomial.
That leaves us with each term divided by 4
inside a set of parentheses.
So we have 4(7 + x).
Now you can check your answer by distributing the 4 through
the parentheses and you will end up with your original polynomial.
Which is the value of the rational expression 6-x/x+5 when x=2
Answers
Answer:
4/7
Step-by-step explanation:
6-x/x+5 let us take x=2
6-2/2+5=4/7
3
The teacher estimated that she would have 68 students this school year. She actually had 74.
What is the percent error?
A 2.08%
B
6%
8.11%
D 191.89%
Answers
Answer:
c
Step-by-step explanation:
John is planning on building a shelf in the shape of a right triangle. He wants the shelf to be 99 inches at its widest and 4040 inches long. He believes the diagonal will be 41 inches. Is he accurate?
Yes, because when we perform Pythagorean theorem we get 4141 inches for the hypotenuse.
No, because when we perform Pythagorean theorem we get 4040 inches for the hypotenuse.
No, because we do not have enough information to solve the problem.
Yes, because when we perform Pythagorean theorem we get 4141 inches for the long leg.
Answers
Write the recurring decimal 0.5 as a fraction in its simplest form
Answers
Answer:
Step-by-step explanation:
0.555... = 5/9
(giving brainiest)
tell how you solved the question
Answers
Answer:
b
Step-by-step explanation:
volume = L x W x H
A. 4 x 7 x 8 = 224
B. 8 x 5 x 6 = 240
then you compare the number and see which one is greater
To find volume of a box you use the equation V= L*W*H
Box A-8*7*4= 224 in^3
Box B-6*5*8=240 in^3
Box b has a larger volume
evaluate -L{te-1 sin at}
Answers
Answer:
???????????????
hmmmmm
......,...
There are about 1024 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way galaxy.
About how many galaxies are in the universe? Write your answer as a power.
Answers
Answer:
100
Step-by-step explanation:
c nhjbSASGHDfsJAKDhzksahjbd
Answer:
There are about 10^13 galaxies in the universe
Step-by-step explanation:
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answers
Take 22.50. Divide by 15
You get 1.5
Then 12 * 1.5 = 18
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18