Francis surveyed a random sample of 707070 students at Franklin High School about their favorite season. Of the students surveye
2 answers:
Answer:
Approx 467 students is the answer.
Step-by-step explanation:
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season.
Of the students surveyed, 18 chose fall as their favorite season.
There are 1816 students at Franklin High School.
Now, students chose fall as their favorite season.
This comes to 0.257 percent.
We can say that 0.257 % of 1816 students can like fall season.
= 466.712 ≈ 467 students. (approx)
Therefore, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall is 467.
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Answer:
So 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .
Step-by-step explanation:
1) Data given and notation
n=830 represent the random sample taken
X=282 represent the people that regularly watch the TV station’s news program
estimated proportion of people that regularly watch the TV station’s news program
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 the proportion is less than 0.38:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, 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 left tailed test the p value would be:
So 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .
One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.
Since both the cars are travelling towards each other their combined speed will be: 75+105=180 km/h.
Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is:
hours.
Now, the speed of the canary is 100 km/h.
Therefore, the Canary flies flies for (100 km/h)x(3 hours) = 300 km before the cars collide.