A rice calls for 16 fluid ounces of light whipping cream. if anthony has 1 pint of whipping cream in his refrigerator, does he h
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Complete Question
Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.
a
State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
b
What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c
Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
in 2012
in 2010
c
The p-value is
The conclusion is
There is sufficient evidence to conclude that the proportion of those indicating that financial security is more fair in Feb 2010 is different from the proportion of those indicating that financial security is more fair in Feb 2012.
Step-by-step explanation:
From the question we are told that
The sample size in 2012 is
The number that indicated that their finance was more than fail is k = 410
The sample size in 2010 is
The number that indicated that their finance was more than fail is u = 315
The level of significance is
The alternative hypothesis is
Generally the sample proportion for 2012 is mathematically represented as
=>
=>
Generally the sample proportion for 2010 is mathematically represented as
=>
=>
Generally the pooled sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
Generally the p- value is mathematically represented as
From the z -table
So
So from the p-value obtained we see that p-value < so we reject the null hypothesis
Thus there is sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.
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if A is reflected across line R it is now at point B and the distance AR = distance BR
lets say the point A(2,2) was perpendicular to the line R at the point (1, 4) then when reflected the point A now at location B will have coordinates</span><span>when flipped over a line of reflection the lengths are still the same
the point to the line of reflection is the same length as the line of reflection to the reflected position
the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection
cannot see your polygon.
here is an example
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