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s2008m [1.1K]
3 years ago
9

A news service conducted a survey of 1026 adults ages 18 years or older in a certain​ country, August 31minus−September ​2, 2015

. The respondents were​ asked, "Of every tax dollar that goes to the federal​ government, how many cents of each dollar would you say are​ wasted?" Of the 1026 individuals​ surveyed, 36​% indicated that 51 cents or more is wasted. The news service reported that 3636​% of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar​ spent, with a margin of error of 55​% and a 99​% level of confidence. Complete parts ​(a) through​ (e) below. What is the research​objective?
A. To determine the number of adults in the country paying their taxes to the federal government
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar
C. To determine the number of adults in the country
D. To determine the number of adults in the country who believe the federal government wastes 51 cents or more of every dollar
Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Answer:

B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

Step-by-step explanation:

Given that:

sample size = 1026

sample proportion = 0.36

Margin of error = 55% = 0.55

Confidence interval level = 99%

The purpose of this question is to determine the research objective:

The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

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In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who
Veseljchak [2.6K]

Answer:

In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.

But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?

Thank you for all of the help.

That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)

So: the two events are not independent, and so that formula doesn't work.

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2 years ago
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