2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.
1 answer:
Answer:
Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.
Step-by-step explanation:
1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.
2) Here are the most common outcomes, as long as we continue on flipping coins.
If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5
This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails
You might be interested in
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:
The degrees of freedom are given by:
And the p value would be given by:
Since the p value is higher than the significance level of 0.05 we don't have enough evidence to conclude that the true mean is significantly higher than $300 because we FAIL to reject the null hypothesis.
Step-by-step explanation:
Information given
314 305 344 283 285 310 383 285 300 300
We can calculate the sample mean and deviation with the following formula:
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value to test
represent the significance level
t would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true mean is greater than 300, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
And the p value would be given by:
Since the p value is higher than the significance level of 0.05 we don't have enough evidence to conclude that the true mean is significantly higher than $300 because we FAIL to reject the null hypothesis.