Question

The policy of the Suburban Transit Authority is to add a bus route if more than 63% of the potential commuters indicate they would use the particular route. A sample of 78 commuters revealed that 50 would use a proposed route from Bowman Park to the downtown area. Does the Bowman-to-downtown route meet the STA criterion? Use the 0.10 significance level.

**a.** What is the decision rule? **(Round
the final answer to 3 decimal places.)**

Reject *H*_{0}: *p* ≤ 0.63 and accept
*H*_{1}: *p* > 0.63 when the test
statistic is (Click to select) greater
than less than equal
to .

**b.** Compute the value of the test statistic.
**(Round the final answer to 3 decimal places.)**

Value of the test statistic

**c.** What is your decision regarding
*H*_{0}?

*H*_{0} is
(Click to
select) rejected not rejected.

Answer #1

The policy of the Suburban Transit Authority is to add a bus
route if more than 55% of the potential commuters indicate they
would use the particular route. A sample of 70 commuters revealed
that 42 would use a proposed route from Bowman Park to the downtown
area. Does the Bowman-to-downtown route meet the STA criterion? Use
the 0.05 significance level.
a. What is the decision rule? (Round
the final answer to 3 decimal places.)
Reject H0: p ≤ 0.55...

The policy of the Suburban Transit Authority is to add a bus
route if more than 55% of the potential commuters indicate they
would use the particular route. A sample of 70 commuters revealed
that 42 would use a proposed route from Bowman Park to the downtown
area. Does the Bowman-to-downtown route meet the STA criterion? Use
the .05 significance level.

The policy of the Suburban Transit Authority is to add a bus
route if more than 55% of the potential commuters indicate they
would use the particular route. A sample of 70 commuters revealed
that 42 would use a proposed route from Bowman Park to the downtown
area. Does the Bowman-to-downtown route meet the STA criterion? Use
the .05 significance level.

The following hypotheses are given.
H0: p ≤ 0.45
H1: p > 0.45
A sample of 140 observations revealed that
= 0.35. At the 0.10 significance level, can the null
hypothesis be rejected?
a. State the decision rule. (Round the
final answer to 3 decimal places.)
(Click to select) Reject Not
reject H0 and (Click to
select) and accept and
reject H1 if z
> or z < .
b. Compute the value of the test statistic.
(Round the final answer to 2 decimal places.)
Value of the test...

A new bus route has been established between downtown Denver and
Englewood (a suburb of Denver). Eric has taken the bus to work for
many years. For the old bus route, he knows from long experience
that the mean waiting time between buses at his stop was 20
minutes.
However, a random sample of 34 waiting times between buses using
the new route had a mean of 17.2 minutes with a sample standard
deviation of 6.4 minutes.
Does this indicate...

A sample of 66 observations is selected from one population with
a population standard deviation of 0.68. The sample mean is 2.67. A
sample of 45 observations is selected from a second population with
a population standard deviation of 0.68. The sample mean is 2.59.
Conduct the following test of hypothesis using the 0.1 significance
level:
H0: μ1 – μ2≤ 0
H1: μ1 – μ2 > 0
a. Is this a one-tailed or a two-tailed
test?
This is a (Click to...

The following sample information shows the number of defective
units produced on the day shift and the afternoon shift for a
sample of four days last month.
Day
1
2
3
4
Day shift
11
12
13
19
Afternoon shift
9
10
14
15
At the 0.01 significance level, can we conclude there are more
defects produced on the Afternoon shift?
a. State the decision rule. (Round the
final answer to 3 decimal places.)
H0 is (Click to
select) rejected not rejected if
t...

The null and alternative hypotheses are:
H0:μd≤0H0:μd≤0
H1:μd>0H1:μd>0
The following sample information shows the number of defective
units produced on the day shift and the afternoon shift for a
sample of four days last month.
Day
1
2
3
4
Day shift
13
12
13
17
Afternoon shift
11
9
12
15
At the 0.10 significance level, can we conclude there are more
defects produced on the Afternoon shift?
a. State the decision rule. (Round the
final answer to 3...

The manager of Tea for Us has been ordering stock based on the
assumption that 51% of her customers prefer black teas. The
following hypotheses are given:
H0: p = 0.51
H1: p ≠ 0.51
She sampled 158 of her customers and found that only 41% of
those preferred black teas. At the 0.10 significance level, can the
null hypothesis be rejected?
a. State the decision rule. (Negative
answer should be indicated by a minus sign. Round the final answers...

The Los Angeles County Metropolitan Transportation Authority has
set a bus mechanical reliability goal of 3,013 bus miles. Bus
mechanical reliability is measured specifically as the number of
bus miles between mechanical road calls. Suppose a sample of 64
buses resulted in a sample mean of 3,295 bus miles and a sample
standard deviation of 825 bus miles. Is there evidence that the
population mean bus miles is greater than 3,013 bus miles? Use
α=0.05 level of significance.
1. What...

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