In: Statistics and Probability

the results of a survey in which people from high income countries were asked to report their level of education (less than basic, basic and advanced) and whether they were employed or not. The results are in thousands and are for the 2016-17 period.

You work for a Human Resources firm interested in global employment trends. You randomly sample 30 employed people from high income countries and ask them about their level of education.

a) What is the probability that 24 or fewer of these people would have an advanced education? (Round to 3 decimals)

b) What is the probability that 3 or more of these people would have a less than basic education? (Round to 4 decimals)

c) What is the probability that at least 10 of these people would have a basic education? (Round to 2 decimals)

d) What's the expected number of employed people with a basic education (Round to the nearest integer)?

e) What does this data tell you about employment and education in high income countries?

Sum of Number of Employed People (Thousands) | |
---|---|

Education | Total |

Advanced | 196514 |

Basic | 57808 |

Less Than Basic | 4605 |

Grand Total | 258927 |

Following table shows the relative frequency:

Sum of Number of Employed People (Thousands) |
||

Education | Total, f | Relative frequency, f/258927 |

Advanced | 196514 | 0.759 |

Basic | 57808 | 0.2233 |

Less Than Basic | 4605 | 0.0178 |

Grand Total | 258927 | 1 |

(a)

Let X is a random variable shows the number of students out of 30 have an advanced education. Here X has binomial distribution with parameter n=30 and p=0.759. The probability that 24 or fewer of these people would have an advanced education is

**Answer: 0.764**

(b)

Let X is a random variable shows the number of students out of 30 have less than basic education. Here X has binomial distribution with parameter n=30 and p=0.0178.

The probability that 3 or more of these people would have a less than basic education is

**Answer: 0.0160**

(c)

Let X is a random variable shows the number of students out of 30 have basic education. Here X has binomial distribution with parameter n=30 and p=0.2233.

The probability that at least 10 of these people would have a basic education is

**Answer: 0.11**

(d)

The expected number of employed people with a basic education is

30 * 0.2233 = 6.699

**Answer: 7**

(e)

As the education level increases, employment increase.

In a Survey people were asked to report their level of Math
Anxiety as High, Medium, Low or None. The table below reflects the
results. The question is: Is there evidence
that the level of math anxiety is different for female and male
students at the α = 0.1 level of significance?
Perform a Test for Homogeneity of Proportions.
High/Medium
Low/None
Female
19
9
Male
12
8

The table shows the results of a survey that asked 2850 people
whether they were involved in any type of charity work. A person is
selected at random from the sample. Find the probability of each
event. Give your answers as simplified fractions or as decimals
rounded to 3 places.
Frequently
Occasionally
Not at all
Total
Male
221
456
795
1472
Female
207
430
741
1378
Total
428
886
1536
2850
a) What is the probability that the person is...

The following represents the results of a survey in which
individuals were asked to share what they perceive to be the ideal
number of children.
0
1
2
3
4
5
6
Female
11
8
92
65
35
3
2
Male
8
15
74
42
21
3
1
a. What is the probability an individual believes the ideal
number of children is 2?
b. What is the probability an individual is male and believes
the ideal number o f children...

The following is a report from a BLS survey taker:
“There were 70 people in the houses I visited. 12 of them were
children under the age of 16, 25 people had full-time jobs, and 6
had part-time jobs. There were 10 retirees, 5 full-time homemakers,
5 full-time students over age 16, and 2 people who were disabled
and cannot work. The remaining people did not have jobs, but all
said they would like one. One of these people had...

The table below shows the results of a survey that asked
28632863
people whether they are involved in any type of charity work. A
person is selected at random from the sample. Complete parts (a)
through (e).
Frequently
Occasionally
Not at all
Total
Male
224
456
791
1471
Female
205
440
747
1392
Total
429
896
1538
2863
(a) Find the probability that the person is frequently or
occasionally involved in charity work.
Upper P left parenthesis being frequently involved...

The table below shows the results of a survey that asked 2867
people whether they are involved in any type of charity work. A
person is selected at random from the sample. Complete parts (a)
through (b).
Frequently
Occasionally
Not at all
Total
Male
221
453
792
1466
Female
208
450
743
1401
Total
429
903
1535
2867
(a) Find the probability that the person is frequently or
occasionally involved in charity work.
P(being frequently involved or being occasionally involved)=...

The table below shows the results of a survey that asked
2864 people whether they are involved in any type of charity
work. A person is selected at random from the sample. Complete
parts (a) through (d).
Frequently Occasionally Not at
all Total
Male 228 458 792 1478
Female 205 440 741 1386
Total 433 898 1533 2864
(a) Find the probability that the person is frequently or
occasionally involved in charity work.
Upper P left parenthesis being frequently...

The following is a report from a not-very-efficient BLS survey
taker: “There were 100 people in the houses I visited. 24 of them
were children under the age of 16, 25 people had full-time jobs,
and 12 had part-time jobs. There were 10 retirees, 5 full-time
homemakers, 11 full-time students over age 16, and 3 people who
were disabled and cannot work. The remaining people did not have
jobs, but all said they would like one. Seven of these people...

In a survey, people were asked "Which flavor of ice cream do you
like, chocolate or vanilla?" The result is summarized in the
following table. Each number is the frequency (count) falling into
that cell.
Chocolate
Vanilla
Neither
Children
38
26
92
Teens
87
92
14
Adults
21
62
78
What is the percent of children who like chocolate ice cream
among all the people responded in this survey?
Round your answer to the nearest 0.01.
Flag this Question
Question...

In a survey, 90 people were asked if they received at least
some of their news from social media. 61 responded Yes.
(a) What is the 95% confidence interval for the proportion of
people in the population who receive at least some of their news
from social media?
(b) Working at the 95% confidence level, how large a sample
would be necessary to estimate the population proportion with a
margin of error of ±0.02? Assume a planning value of p∗...

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