MORE BENEFITS OF EATING ORGANIC Using specific data, we find a significant difference in the proportion of fruit flies surviving
after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing H0 : po= pcHa: po > pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level. Effect of Organic Soybeans After 5 Days After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.92 , while the proportion still alive eating conventional soybeans is 0.85 . The standard error for the difference in proportions is 0.023 . What is the value of the test statistic? Round your answer to two decimal places.
1 answer:
Answer:
0.8780
Step-by-step explanation:
“What is the value of the test statistic? Round your answer to two decimal places.”
We must find a value of z, such that the area under the Normal curve with mean
= (0.92 - 0.85) = 0.07
and standard deviation
s = 0.023
between (, 0.07 + z*0.023] is 95% = 0.95
We use then a spreadsheet to work out that value z*0.023 = 0.108 (See picture), and
z = 0.108/0.023 = 0.8780
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Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
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Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
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An example:
Let's say b = 11. This would mean becomes
It would factor to since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that is a true equation for all real numbers x.
This same idea applies for the other values of b.
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If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get
The middle term has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer:
Ladonna: a + c + b
Step-by-step explanation:
-The commutative property in addition states that the order of arrangement of the integers to be added has no effect on their sum such that:
-Since the alphabet follows the order a,b, c....
Only Ladonna rearranged to change this order to show the commutative property.
-Hence, Ladonna wrote the expression correctly.
*The commutative property should not be confused with the associative property.
-The latter allows you to change the order and terms within the closed parentheses while retaining the answer.