You have 5/6 cup of cocoa in your cupboard. A recipe for cookies calls for 2/5 cup of cocoa. How much cocoa would you have left
1 answer:
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Answer:
a) For this case the value of the significanceis and
, we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:
If the calculated statistic we can reject the null hypothesis at 5% of significance
b) Where
c)
d) Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.
Step-by-step explanation:
Data given and notation
represent the number of people with the characteristic 1
represent the number of people with the characteristic 2
sample 1 selected
sample 2 selected
represent the proportion estimated for the sample 1
represent the proportion estimated for the sample 2
represent the pooled estimate of p
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
significance level given
Concepts and formulas to use
We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
a.State the decision rule.
For this case the value of the significanceis and
, we need a value on the normal standard distribution thataccumulates 0.025 of the area on each tail and we got:
If the calculated statistic we can reject the null hypothesis at 5% of significance
b. Compute the pooled proportion.
Where
c. Compute the value of the test statistic.
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Replacing in formula (1) the values obtained we got this:
d. What is your decision regarding the null hypothesis?
Since the calculated value satisfy this condition 2.708>1.96 we have enough evidence at 5% of significance that we have a significant difference between the two proportions analyzed.
Answer:
Step-by-step explanation:
Given:
First Number = 97
Second Number =
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;
Expressing in Scientific Notation form we get
Hence the Answer is .