Question

The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 366 convicted sex offenders who were also drug addicts, 26 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance?

- For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
- The null and alternative hypotheses would be:

Ho: ? μ p Select an answer ≥ = < ≤ > ≠ (please enter a decimal)

H_{1}: ? p μ Select an answer ≤ ≠ ≥ = < > (Please enter a decimal)

- The test statistic ? t z = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? > ≤ αα
- Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly different from 11% at αα = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 11%.
- The data suggest the population proportion is not significantly different from 11% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is equal to 11%.
- The data suggest the populaton proportion is significantly different from 11% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 11%.

- Interpret the p-value in the context of the study.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 366 convicted sex offender drug addicts are observed then there would be a 1.72% chance that either fewer than 7% of the 366 convicted sex offender drug addicts in the study become repeat offenders or more than 15% of the 366 convicted sex offender drug addicts in the study become repeat offenders.
- There is a 1.72% chance of a Type I error.
- If the sample proportion of convicted sex offender drug addicts who become repeat offenders is 7% and if another 366 convicted sex offender drug addicts are observed, then there would be a 1.72% chance that we would conclude either fewer than 11% of all convicted sex offender drug addicts become repeat offenders or more than 11% of all convicted sex offender drug addicts become repeat offenders.
- There is a 1.72% chance that the percent of all convicted sex offender drug addicts become repeat offenders differs from 11%.

- Interpret the level of significance in the context of the
study.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is different from 11% and if another 366 convicted sex offender drug addicts are observed then there would be a 10% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is equal to 11%.
- There is a 10% chance that Lizard People aka "Reptilians" are running the world.
- There is a 10% chance that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 11%.
- If the population proportion of convicted sex offender drug addicts who become repeat offenders is 11% and if another 366 convicted sex offender drug addicts are observed, then there would be a 10% chance that we would end up falsely concluding that the proportion of all convicted sex offender drug addicts who become repeat offenders is different from 11%.

Answer #1

The recidivism rate
for convicted sex offenders is 12%. A warden suspects that this
percent is lower if the sex offender is also a drug addict. Of the
330 convicted sex offenders who were also drug addicts, 36 of them
became repeat offenders. What can be concluded at the αα = 0.05
level of significance?
For this study, we should use Select an answerz-test for a
population proportiont-test for a population mean
The null and alternative hypotheses would be:
Ho:...

The recidivism rate for convicted sex offenders is 16%.
A warden suspects that this percent is
different
if the sex offender is also a drug addict. Of the 383 convicted sex
offenders who were
also
drug addicts, 77 of them became repeat offenders.
a)
What can be concluded at the level of significance?
b) For this study, should we use a t-test or a
z-test?
c) Identify the null and alternative
hypotheses.
d) If p-value is greater than should we...

1.
The average final exam score for the statistics course is 78%. A
professor wants to see if the average final exam score for students
who are given colored pens on the first day of class is different.
The final exam scores for the 11 randomly selected students who
were given the colored pens are shown below. Assume that the
distribution of the population is normal.
77, 58, 53, 90, 83, 77, 51, 72, 53, 68, 81
What can be...

The recidivism rate for convicted sex offenders is 55%. A warden
has implemented a new therapy with the hope that the rate will
decrease. Of the 280 convicted sex offenders who had the new
therapy before being released, 142 of them became repeat offenders.
What can be concluded at the 0.05 level of significance?
H0: p = 0.55
1. Ha: p__0.55: a. >
b. <
c. Not equal to
2. Test Statistic: a. 1.81
b. -1.44
c. -1.31
d. 2.62...

Only 11% of registered voters voted in the last election. Will
voter participation change for the upcoming election? Of the 300
randomly selected registered voters surveyed, 48 of them will vote
in the upcoming election. What can be concluded at the αα = 0.01
level of significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? μ p Select an answer =...

Only 13% of registered voters voted in the last election. Will
voter participation change for the upcoming election? Of the 306
randomly selected registered voters surveyed, 55 of them will vote
in the upcoming election. What can be concluded at the αα = 0.10
level of significance?
For this study, what sampling distribution would be used? Select
an answer -
Student's t distribution
binomial distribution
uniform distribution
standard normal distribution
The null and alternative hypotheses would be:
H0:
H1:
The...

15% of all Americans suffer from sleep apnea. A researcher
suspects that a higher percentage of those who live in the inner
city have sleep apnea. Of the 314 people from the inner city
surveyed, 50 of them suffered from sleep apnea. What can be
concluded at the level of significance of αα = 0.05?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would...

12% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
students receiving financial aid? Of the 311 randomly selected
students who receive financial aid, 56 of them volunteered their
time. What can be concluded at the αα = 0.10 level of
significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? p...

12% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
students receiving financial aid? Of the 336 randomly selected
students who receive financial aid, 24 of them volunteered their
time. What can be concluded at the αα = 0.10 level of
significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
H0:H0: ? μ...

You are conducting a study to see if the proportion of voters
who prefer the Democratic candidate is significantly smaller than
59% at a level of significance of αα = 0.10. According to your
sample, 51 out of 88 potential voters prefer the Democratic
candidate.
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
Ho: ? p μ Select an answer < > =...

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