Answer:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
Step-by-step explanation:
A hypothesis test for two proportions can be used to determine whether the preference of men differ from women in case of voting.
A Chi-square test contingency table can be used to perform the test.
The hypothesis can be defined as:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
The test statistic is:
![\chi^{2}=\frac{Row\ total\times Column\ total}{N}](https://tex.z-dn.net/?f=%5Cchi%5E%7B2%7D%3D%5Cfrac%7BRow%5C%20total%5Ctimes%20Column%5C%20total%7D%7BN%7D)
Decision rule:
If the <em>p</em>-value of the Chi-square test statistic is less than the significance level <em>α</em> = 0.05 then the null hypothesis will be rejected. And if the <em>p</em>-value is more than the significance level then the null hypothesis will not be rejected.
Find the the amount of interest per year. Since $567 were earned over 6 years, you divide the interest earned by the number of years it took to accumulate it:
$567/6 years = $94.5/year
Divide that by the interest rate which the interest rate needs to be in decimal form:
$94.5/.0525 = $1800
The answer to this is <span>4 and 9 over 16.</span>
Answer:
Probability of eligible applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
Step-by-step explanation:
Total percentage eligible applicants who pass the exam
![\textrm {89\% of 70\%}= \dfrac{89\times70}{100}=62.3\%](https://tex.z-dn.net/?f=%5Ctextrm%20%7B89%5C%25%20%20of%2070%5C%25%7D%3D%20%5Cdfrac%7B89%5Ctimes70%7D%7B100%7D%3D62.3%5C%25)
Total ineligible applicants who pass the exam
![\textrm {14\% of 30\%}= \dfrac{14\times30}{100}=4.2\%](https://tex.z-dn.net/?f=%5Ctextrm%20%7B14%5C%25%20%20of%2030%5C%25%7D%3D%20%5Cdfrac%7B14%5Ctimes30%7D%7B100%7D%3D4.2%5C%25)
All applicants who pass this exam 62.3% + 4.2% = 66.5%
Probability of applicants who pass the exam
![\textrm{probability }= \dfrac{66.5}{100}=0.665](https://tex.z-dn.net/?f=%5Ctextrm%7Bprobability%20%7D%3D%20%5Cdfrac%7B66.5%7D%7B100%7D%3D0.665)
Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible
Probability of applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
The surface area of the box in square inches will be 39.0625 inches².
<h3>How to calculate the area?</h3>
From the information, the gift box has a surface area of 6.25 square feet.
Therefore, the surface area of the box in square inches will be:
= Side × Side
= 6.25 × 6.25
= 39.0625 inches²
Therefore, the surface area of the box will be 39.0625 inches².
Learn more about area on:
brainly.com/question/25292087
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