Answer:
80%
210%
65%
105%
Step-by-step explanation:
To solve for each of these equations, let's make them fractions first. The denominator will be 20 since that was the goal.
Elena did pushps.
Jada did pushups.
Lin did pushups.
Andre did pushups.
To convert this to percentages, let's multiply each by fraction by . This will give us a denominator of 100. The denominator will represent the percentage.
Elena did ×
=
pushps. Elena did 80 percent of the pushups.
Jada did ×
=
pushups. Jada did 210 percent of the pushups.
Lin did ×
=
pushups. Lin did 65 percent of the pushups.
Andre did ×
=
pushups. Andre did 105 percent of the pushups.
Answer:
The least number of stamps required is
Step-by-step explanation:
Let the number of cent stamps be
and
cent stamps be
We have
The minimum number is obtained when more cent stamps are used
Here cannot be greater than
since
Substitute
Not possible since is not a fraction
Substitute
Not possible since is not a fraction
Substitute
Possible
Hence minimum number of stamps is
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.