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Aneli [31]
3 years ago
12

Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alter

native hypotheses are: H0: p = 0.5 Ha: p ≠ 0.5 Heather is given a sample and calculates the test statistic. Using a level of significance of α = 0.05, she rejects the null hypothesis. Heather's friends, Alan and Bill, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Alan uses a level of significance of α = 0.1, while Bill uses α = 0.01. All three students perform their calculations correctly. For each of Heather's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given.
Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

Alan = reject H0

Bill = cannot say

Step-by-step explanation:

Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.

H0: p = 0.5 \\Ha: p ≠ 0.5

(two tailed test at 5% significance level)

Since she rejects null hypothesis p value should have been less than 0.05

when p value <0.05, it is definitely less than 0.10

So at 1% level of significance also the null hypothesis would be rejected.

So Alan also would get the same result as to reject the H0

But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01

All we know is that p is less than 0.05

Hence it is impossible to tell from the information for Bill

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Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.​
andrey2020 [161]

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

Selling price = Cost price + profit

= 5,00,000 + 5,00,000 × 0.20

= 5,00,000 + 1,00,000

= ₹6,00,000

Hence, the selling price of the goods is ₹6,00,000

6 0
2 years ago
There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th
amid [387]
The complete question is
<span>There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.

the figure is not drawn to scale  

A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?  

we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm

Part A) </span>what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.

we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³

the answer part A) is 36*pi cm³  (113.04 cm³)

Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³

the answer part B) is 36*pi cm³  (113.04 cm³)

Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere

36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³

the answer Part C) is 54*pi cm³ (169.56 cm³)

Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³

the answer Part D) is 18*pi cm³ (56.52 cm³)

5 0
3 years ago
Can someone pls help ASAP :) I’ll give brainiest
Anna71 [15]

Answer:

D. (2x)(3x) + 5(3x - 2)

<em>good luck, i hope this helps :) </em>

<em />

5 0
3 years ago
Need help with tree diagrams
oksian1 [2.3K]
There is a 50% chance.


Explanation:

There is always a 50-50 chance that the coin will land on either heads or tails.
6 0
2 years ago
7y(8y - 7) + 46y Please Simplify
Dafna1 [17]
Distribute first
a(b+c)=ab+ac
7y(8y-7)=56y^2-49y

now we have
56y^2-49y+46y
56y^2-3y
tada
6 0
3 years ago
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