In: Statistics and Probability

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 |

Null hypothesis Ho: level of math anxiety is same for female and male students

Alternate hypothesis Ha: : level of math anxiety is different for female and male students

degree of freedom(df) =(rows-1)*(columns-1)= | 1 | ||

for 1 df and 0.1 level,critical value χ2= | 2.71 | ||

Decision rule : reject Ho if value of test statistic
X2>2.706 |

Applying chi square test of homogeneity |

Expected |
E_{i}=row total*column
total/grand total |
High/Medium | Low/None | Total |

Female | 18.083 | 9.917 | 28 | |

Male | 12.917 | 7.083 | 20 | |

total | 31 | 17 | 48 | |

chi
square χ^{2} |
=(O_{i}-E_{i})^{2}/E_{i} |
High/Medium | Low/None | Total |

Female | 0.046 | 0.085 | 0.1312 | |

Male | 0.065 | 0.119 | 0.1837 | |

total | 0.1115 | 0.2034 | 0.3149 | |

test statistic
X^{2}= |
0.315 |

since test statistic does not falls in rejection region we fail to reject null hypothesis |

we do not have have sufficient evidence to conclude that level of math anxiety is different for female and male students |

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...

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(a) What is the 95% confidence interval for the proportion of
people in the population who receive at least some of their news
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(b) Working at the 95% confidence level, how large a sample
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margin of error of ±0.02? Assume a planning value of p∗...

In a 2008 survey, people were asked their opinions on
astrology - whether it was very scientific, somewhat scientific,
or not at all scientific. Of 1436 who responded,71 said astrology
was very scientific.
a. Find the proportion of people in the survey who believe
astrology is very scientific. Answer ______ (Round
to four decimal places as needed)
b. Find a 95% confidence interval for the population proportion
with this belief. Answer (____, and _____)
c. Suppose a TV news anchor...

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...

A recent survey of math students asked about their overall
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deviation of 0.9 points. Calculate a 90% confidence interval for
the true mean GPA of math students. Round your answer to the
nearest hundredth, and choose the most correct option below:
(2.88,3.52), (2.87,3.53), (.28,.94), (2.40,4.00) or none of the
above...

Problem 2
In a survey, 1,000 people were asked if they shop at the X store
regularly; the possible answers were dichotomous because they could
only answer Yes or No. The results showed that 30% of the
respondents answered yes (that is, they do buy at the store X
regularly). If, based on this information, an experiment is
conducted where 100 of these people are randomly selected, and
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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...

In the 2008 General Society Survey, people were asked their
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Find a 99% confidence interval for the population proportion of
all people with this belief.
Suppose a TV news anchor said that 5% of people in the general
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it is plausible? Explain your answer.

In a survey regarding an upcoming presidential primary, 1000
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214 of the respondents indicated that they favor the candidate.
Form a 95% confidence interval for the proportion of voters who
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n a 2008 survey, people were asked their opinions on astrology
- whether it was very scientific, somewhat scientific, or not at
all scientific. Of 1438 who responded, 76 said astrology was very
scientific. a. Find the proportion of people in the survey who
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interval for the population proportion with this belief. c. Suppose
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