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Click and place the simplified expression after its original expression.
Click and place the simplified expression after its original expression.
2 answers:
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Answer:
The confidence interval becomes wider.
Step-by-step explanation:
The general form of a confidence interval is:
The critical value is based on the confidence level.
The confidence level is the probability that the true parameter value falls within a specific interval. The basic and most used confidence levels are 90%, 95% and 99%.
The confidence interval is directly proportional to the confidence interval.
Confidence Interval ∝ Confidence Level
On increasing the confidence level the confidence level widens. And on decreasing the confidence level the confidence level gets narrower.
Thus, when Gina changes the confidence interval to 99% the confidence interval becomes wider.
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula . Plugging in the numbers you get
=1.7748.
Answer:
a) The test statistic is
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:
While the null hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that
0 is tested at the null hypothesis:
This means that
Standard error = 0.1
This means that
Test statistic:
The test statistic is
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.