Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis ; Alternative hypothesis
.
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by is of 0, hence:
At the alternative hypothesis, it is tested if there is a difference, hence:
More can be learned about an hypothesis test at brainly.com/question/26454209
Use the binomial theorem:
The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be
Answer:
The 95% confidence interval for those opposed is: (0.298, 0.334).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for those opposed is: (0.298, 0.334).
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
probability that the card is not green