Answer:
Step-by-step explanation:
Hello!
You have a sample of 200 people, they were asked their primary source of news, categorized in (1) Television, (2) Radio, (3) Internet and (4) Other.
And your objective is to test if the proportions in this sample follow the known frequencies 10%, 30%, 50%, and 10%.
The propper statistic test to use to probe if the sample follows the known or historical distribution is Chi-Square goodness of fit test. In this test, what you state in the null hypothesis is the model or distribution you want to test. In this case, you've to write down the proportions for each category:
H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10
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The variable is Quantitative, has Interval level of measurement.
Variables which can be quantified & expressed numerically are Quantitative variables. Eg : as given , price
Variables which cant be qualified & expressed numerically are Qualitative variables. Eg : level of honesty, loyalty etc
Nominal & Ordinal are qualitative variables : signifying yes or no to a category (like men or women) , or ranks (x better than y) respectively. So price level is not such categorical & ordinal ratio.
Quantitative ratio variables are with reference to time , or are in forms of rate (like speed , growth per year). So, price level is not such ratio variable also.
Price is a quantitative variable, in which the ranking, its difference can be calculated. This is characteristic of a <u>Quantitative Interval Variable</u>.
Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have
The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then
If r = 2, then
If r = 3, then
If r = 4, then
Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
