Exam (elaborations)
STA 2023 Elementary Statistics STA 2023 Final Exam Submission Review Questions and Answers
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- Saint Petersburg College
STA 2023 Elementary Statistics
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A certain academic program boasts that 87% of their graduates find full-time employment in their field within thefirst year of graduation. The academic director is concerned that market factors may have adversely affected the
full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.
The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.
Assume that all conditions for testing have been met and choose the statement that contains the correct
conclusion.
Question options:
there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87%
Use the model to make the appropriate prediction.
A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen
pregnancy rate (y). Data from all 50 states produced the regression model:
yˆ=4.3+1.4(x
What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6?
Question options:
27.5%
Select the most appropriate response.
As sample size increases (other things being equal), what tends to happen to 95% confidence intervals?
Question options:
They become narrower.
Select the most appropriate response.
A p-value=0.35 indicates that:
o no sample evidence against the null hypothesis.
Select the most appropriate response.
What would happen (other things being equal) to a confidence interval if you calculated a 99% confidence
interval rather than a 95% confidence interval?
Question options:
State the null and alternative hypotheses you would use to test the following situation.
The American Automobile Association (AAA) claims that 54% of fatal car/truck accidents are caused by driver error.
A researcher believes the percentage has decreased during the past year and tests the claim at the 10% level of
significance.
Question options:
H0 : p=0.54
H1 : p<0.54
Determine the expected count under the null hypothesis.
Is achieving a basic skill level in a subject independent to the location of the school? A random sample of students
categorized by the location of school and the number achieving basic skills in three subjects is shown in the table.
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, Subject
Location of School Reading Math Science Totals
Urban 43 42 38 123
Suburban 63 66 65 194
Totals 106 108 103 317
Under the null hypothesis for a Chi-square test of independence, what would be the expected number of students
achieving basic math skills in the urban schools?
Question options:
41.9
Select the most appropriate response.
In hypothesis testing, a Type I error occurs when:
Question options:
esis is rejected when the null hypothesis is true.
Construct the requested confidence interval.
A meteorologist was interested in the average speed of a thunderstorm in his area. He sampled 13 thunderstorms
and found that the average speed at which they traveled across the area was 15 miles per hour with
a sample standard deviation of 1.7 miles per hour.
Assuming the speed of a thunderstorm is approximately normal, construct a 99% confidence interval for the true
average speed of a thunderstorm in his area.
Question options:
Conduct the appropriate hypothesis test and compute the p-value.
Sunshine Air has determined that their no-show rate for passengers booked on a flight is 6%. The Airline has
recently increased the cost of its travel insurance and and suspects the no-show rate for passengers will decrease.
A random sample of 380 reservations resulted in 18 no-shows.
At the 0.10 significance level, is there strong enough sample evidence to suggest that the no-show rate in less
than 6%?
Question options:
he p-value = 0.15
Find the correlation coefficient.
A group of persons filled in a questionnaire their age and the number of states they visited. The results are
recorded in the table below.
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