The scatter plot shows the number of football and baseball cards collected by a sample of third grade children. A coordinate pla
ne titled Number of Football and Baseball Cards Collected with x and y axis ranging from 0 to 100 in increments of 10. The y axis is titled Baseball cards and the x axis is titled Football cards. The coordinate plane contains 11 points. Begin ordered pair 10 comma 60 end ordered pair labeled F. Begin ordered pair 10 comma 90 end ordered pair labeled A. Begin ordered pair 20 comma 40 end ordered pair labeled K. Begin ordered pair 30 comma 40 end ordered pair labeled E. Begin ordered pair 30 comma 60 end ordered pair labeled J. Begin ordered pair 40 comma 40 end ordered pair labeled D. Begin ordered pair 50 comma 40 end ordered pair labeled C. Begin ordered pair 60 comma 20 end ordered pair labeled H. Begin ordered pair 70 comma 20 end ordered pair labeled I. Begin ordered pair 80 comma 20 end ordered pair labeled G. Begin ordered pair 80 comma 50 end ordered pair labeled B. Which children collected more football than baseball cards? Dan, Simian, Jason, Peter Monique, Jordan, Peter, Dan, Simian, Jason Ruso, Ryan, Monique, Jordan, Peter Dan, Simian, Ken, Jimmy, Jason Name Label Dan A Peter B Ruso C Dyna D Jimmy E Simian F Jordan G Ryan H Monique I Jason J Ken K
2 answers:
<h2>Answer:</h2>
The children who collected more football than baseball cards are:
Ruso, Ryan , Monique , Jordan , Peter.
<h2>Step-by-step explanation:</h2>We are given a set of values as:
( Football cards,Baseball cards) Letter Name
(10,60) F Simian
(10,90) A Dan
(20,40) K Ken
(30,40) E Jimmy
(30,60) J Jason
(40,40) D Dyna
(50,40) C Ruso
(60,20) H Ryan
(70,20) I Monique
(80,20) G Jordan
(80,50) B Peter
Hence, children who collected more football then baseball cards are the one whose first value of the ordered pair is more than the other.
Hence, They are:
(50,40) C Ruso
(60,20) H Ryan
(70,20) I Monique
(80,20) G Jordan
(80,50) B Peter.
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Answer:
We conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.
Step-by-step explanation:
We are given that a study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors in Illinois.
Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids.
Let = <u><em>proportion of Illinois high school freshmen who have used anabolic steroids.</em></u>
= <u><em>proportion of Illinois high school seniors who have used anabolic steroids.</em></u>
SO, Null Hypothesis, :
{means that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}
Alternate Hypothesis, :
{means that there is a significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}
The test statistics that would be used here <u>Two-sample z test for</u> <u>proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of high school freshmen who have used anabolic steroids =
= 0.0203
= sample proportion of high school seniors who have used anabolic steroids =
= 0.0176
= sample of high school freshmen = 1679
= sample of high school seniors = 1366
So, <u><em>the test statistics</em></u> =
= 0.545
The value of z test statistics is 0.545.
Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.
Answer:
Step-by-step explanation:
Hello!
The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.
Of 341 surveyed players, 89 said that they prefer using a console.
The sample resulting sample proportion is p'= 89/341= 0.26
If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.
H₀: p ≥ 0.28
H₁: p < 0.28
α: 0.05
To study the population proportion you have to use the approximation of the standard normal ≈N(0;1)
This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:
P(Z≤-0.82)= 0.206
Using the p-value approach:
If p-value ≤ α, reject the null hypothesis
If p-value > α, don't reject the null hypothesis
The decision is to not reject the null hypothesis.
Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.
I hope this helps!