a 5th grade volleyball team scored 32 points in one game. of those points 2/8 were scored in the second half. how many points we
1 answer:
Answer:
Number of points scored in the first half of the match is 24 points.
Step-by-step explanation:
Total point scored in the volleyball game = 32
Let us assume the points scored in the first half = m
and the point scored on the second half = 2/8 of (Total points)
=
⇒ The number of points s cored in the second - half = 8 points
Now, Points in FIRST half+ Points in SECOND half= Total Points
⇒ m+ 8 = 32
or, m = 32 - 8 = 24
⇒ m = 24
Hence, the number of points scored in the first half is 24 points.
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Answer:
The p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .
Step-by-step explanation:
1) Data given and notation
n=200 represent the random sample taken
X=63 represent the lawyers had used some form of advertising for their business
estimated proportion of lawyers had used some form of advertising for their business
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that more than 25% of all the lawyers in Boston advertise for their business:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a right tailed test the p value would be:
The p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .