Question

**1.**

Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 303 millionaires surveyed, 48 could wiggle their ears. What can be concluded at the α

= 0.10 level of significance?

- For this study, we should use

- The null and alternative hypotheses would be:

H0:

(please enter a decimal)

H1:

(Please enter a decimal)

- The test statistic
- The p-value = (Please show your answer to 3 decimal places.
- The p-value is α
- Based on this, we should the null hypothesis.
- Thus, the final conclusion is that

a The data suggest the population proportion is not
**significantly** higher than 15% at α = 0.10, so
there is statistically significant evidence to conclude that the
population proportion of millionaires who can wiggle their ears is
equal to 15%.

b The data suggest the populaton proportion is
**significantly** higher than 15% at α = 0.10, so
there is statistically significant evidence to conclude that the
population proportion of millionaires who can wiggle their ears is
higher than 15%.

c The data suggest the population proportion is not
**significantly** higher than 15% at α = 0.10, so
there is statistically insignificant evidence to conclude that the
population proportion of millionaires who can wiggle their ears is
higher than 15%.

**2.**

You wish to test the following at a significance level of
α=0.05.

H0:p=0.85

H1:p>0.85

You obtain a sample of size n=250 in which there are 225 successful
observations.

For this test, we use the normal distribution as an approximation
for the binomial distribution.

For this sample...

a The test statistic (z) for the data = (Please show your answer to three decimal places.)

b The p-value for the sample = (Please show your answer to four decimal places.)

c The p-value is... greater than α or less than (or equal to) α

d Base on this, we should...

- fail to reject the null hypothesis
- accept the null hypothesis
- reject the null hypothesis

As such, the final conclusion is that...

- The sample data suggest that the population proportion is
**significantly**greater than 0.85 at the significant level of α = 0.05 - The sample data suggest that the population proportion is not
**significantly**greater than 0.85 at the significant level of α = 0.05

Answer #1

Only 15% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 355
randomly selected registered voters surveyed, 67 of them will vote
in the upcoming election. 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: ? μ p Select an answer ≤...

15% of all college students volunteer their time. Is the
percentage of college students who are volunteers larger for
students receiving financial aid? Of the 354 randomly selected
students who receive financial aid, 60 of them volunteered their
time. What can be concluded at the α = 0.10 level of significance?
For this study, we should use The null and alternative hypotheses
would be: H 0 : (please enter a decimal) H 1 : (Please enter a
decimal) The test...

Only 16% of registered voters voted in the last election. Will
voter participation decline for the upcoming election? Of the 389
randomly selected registered voters surveyed, 43 of them will vote
in the upcoming election. What can be concluded at the α = 0.10
level of significance? For this study, we should use The null and
alternative hypotheses would be: H0: (please enter a decimal) H1:
(Please enter a decimal) The test statistic = (please show your
answer to 3...

Only 12% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 321
randomly selected registered voters surveyed, 51 of them will vote
in the upcoming election. 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 μ Select an answer ≠...

15% of all college students volunteer their time. Is the
percentage of college students who are volunteers larger for
students receiving financial aid? Of the 366 randomly selected
students who receive financial aid, 62 of them volunteered their
time. What can be concluded at the α = 0.05 level of significance?
For this study, we should use z-test for a population proportion
The null and alternative hypotheses would be: H 0 : p = (please
enter a decimal) H 1...

Only 10% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 316
randomly selected registered voters surveyed, 47 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 t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
H0:H0: ? p μ ? < ≠ >...

Only 16% of registered voters voted in the last election. Will
voter participation decline for the upcoming election? Of the 347
randomly selected registered voters surveyed, 45 of them will vote
in the upcoming election. What can be concluded at the αα = 0.05
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 ? ≠ > <...

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...

The average test score for the statistics course is 74%. A
professor wants to see if the average test score for students who
are given colored pens on the first day of class is higher. The
test scores for the 12 randomly selected students who were given
the colored pens are shown below. Assume that the distribution of
the population is normal.
81, 61, 86, 63, 74, 91, 62, 70, 80, 94, 70, 87
What can be concluded at the...

20% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
students receiving financial aid? Of the 363 randomly selected
students who receive financial aid, 58 of them volunteered their
time. What can be concluded at the α = 0.10 level of significance?
For this study, we should use The null and alternative hypotheses
would be: H 0 : (please enter a decimal) H 1 : (Please enter a
decimal) The test...

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