Many artists incorporate geometric shapes into their art. An artist wants to make a sculpture shaped like a cone with a height o
f 4.2 inches and a radius of 2.5 inches. The artist needs to know the volume of the sculpture to purchase the correct amount of materials.
Part A. Which equation shows the art is used to calculate the volume of a cone with the given measurements
Part B. What is the volume,in cubic inches,of the cone? Use 3.14 for pie and round your answer to the nearest tenth
Part A. Which equation shows the art is used to calculate the volume of a cone with the given measurements
Part B. What is the volume,in cubic inches,of the cone? Use 3.14 for pie and round your answer to the nearest tenth
1 answer:
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We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.
Given,
The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.
In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.
To report the large-sample z statistic and its p-value,
Null hypothesis,
H₀ : p = 0.79
Alternative hypothesis,
Ha : p < 0.79
Level of significance, α = 0.01
Under H₀
Test statistic,
Z₀ = -7.948
The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by
P-value = P(z <-7.945)
= 0.000 (from z-table)
Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.
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