Question

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 80 students shows that 38
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.

What are we testing in this problem?

single meansingle proportion

(a) What is the level of significance?

State the null and alternate hypotheses.

*H*_{0}: *p* = 0.35;
*H*_{1}: *p* > 0.35*H*_{0}:
*p* = 0.35; *H*_{1}: *p* ≠
0.35 *H*_{0}: *μ* =
0.35; *H*_{1}: *μ* >
0.35*H*_{0}: *μ* = 0.35;
*H*_{1}: *μ* < 0.35*H*_{0}:
*μ* = 0.35; *H*_{1}: *μ* ≠
0.35*H*_{0}: *p* = 0.35;
*H*_{1}: *p* < 0.35

(b) What sampling distribution will you use? What assumptions are
you making?

The standard normal, since *np* < 5 and *nq*
< 5.The Student's *t*, since *np* < 5 and
*nq* < 5. The Student's
*t*, since *np* > 5 and *nq* > 5.The
standard normal, since *np* > 5 and *nq* >
5.

What is the value of the sample test statistic? (Round your answer
to two decimal places.)

(c) Find (or estimate) the *P*-value.

*P*-value > 0.2500.125 < *P*-value <
0.250 0.050 < *P*-value <
0.1250.025 < *P*-value < 0.0500.005 <
*P*-value < 0.025*P*-value < 0.005

Sketch the sampling distribution and show the area corresponding to
the *P*-value.

(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis? Are the data statistically
significant at level *α*?

At the *α* = 0.05 level, we reject the null hypothesis
and conclude the data are statistically significant.At the
*α* = 0.05 level, we reject the null hypothesis and conclude
the data are not statistically
significant. At the *α* = 0.05 level,
we fail to reject the null hypothesis and conclude the data are
statistically significant.At the *α* = 0.05 level, we fail
to reject the null hypothesis and conclude the data are not
statistically significant.

(e) Interpret your conclusion in the context of the
application.

There is sufficient evidence at the 0.05 level to conclude that more than 35% of the students have jobs.There is insufficient evidence at the 0.05 level to conclude that more than 35% of the students have jobs.

Answer #1

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 80 students shows that 37
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
What are we testing in this problem?
single proportionsingle mean
(a) What is the level of significance?...

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 82 students shows that 37
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
(a) State the null and alternate hypotheses. Options:
H0: μ = 0.35; H1: μ <
0.35
H0:...

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professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 76 students shows that 36
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
What are we testing in this problem?
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Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 84 students shows that 40
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance. What are we testing in
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67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.67;
H1: p ≠...

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 80 students shows that 38
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
what is the value of the sample test statistic?

In a fishing lodge brochure, the lodge advertises that 75% of
its guests catch northern pike over 20 pounds. Suppose that last
summer 56 out of a random sample of 81 guests did, in fact, catch
northern pike weighing over 20 pounds. Does this indicate that the
population proportion of guests who catch pike over 20 pounds is
different from 75% (either higher or lower)? Use α =
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(a) What is the level of significance?
State the null and...

In a fishing lodge brochure, the lodge advertises that 75% of
its guests catch northern pike over 20 pounds. Suppose that last
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population proportion of guests who catch pike over 20 pounds is
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(a) What is the level of significance?
State the null and...

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 84 students shows that 37
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
What is the value of the sample test statistic? (Round your
answer to two decimal places.)

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