Question

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 registered voters and found that 620 would vote for the Republican candidate. Let pp represent the proportion of registered voters in the state who would vote for the Republican candidate. How large a sample nn would you need to estimate pp with a margin of error 0.01 with 95 percent confidence? Use the guess p=.5p=.5 as the value of pp.

**A.** 9604

**B.** 49

**C.** 1500

**D.** 4800

(b) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 registered voters and found that 620 would vote for the Republican candidate. Let pp represent the proportion of registered voters in the state who would vote for the Republican candidate. A 90 percent confidence interval for pp is:

**A.** 0.517 ±± 0.024

**B.** 0.517 ±± 0.028

**C.** 0.517 ±± 0.014

**D.** 0.517 ±± 0.249

(c) A radio talk show host with a large audience is interested
in the proportion pp of adults in his listening area who think the
drinking age should be lowered to 18. He asks, 'Do you think the
drinking age should be reduced to 18 in light of the fact that 18
year olds are eligible for military service?' He asks listeners to
phone in and vote 'yes' if they agree the drinking age should be
lowered to 18, and 'no' if not. Of the 100 people who phoned in, 70
answered 'yes.' Which of the following assumptions for inference
about a proportion using a confidence interval are violated?

**A.** The sample size is large enough so that the
count of failures n(1?p^)n(1?p^) is 15 or more.

**B.** The sample size is large enough so that the
count of successes np^np^ is 15 or more.

**C.** The population is at least ten times as large
as the sample.

**D.** The data are an SRS from the population of
interest.

Answer #1

A newspaper conducted a statewide survey concerning the 1998
race for state senator. The newspaper took a random sample (assume
it is an SRS) of registered voters. Let p represent the proportion
of registered voters in the state that would vote for the
Republican candidate. How large a sample n would you need to
estimate p with margin of error 0.03 with 99% confidence

A newspaper conducted a statewide survey concerning the 1998
race for state senator. The newspaper took a SRS of n=1100
registered voters and found that 570 would vote for the Republican
candidate. Let p represent the proportion of registered voters in
the state who would vote for the Republican candidate. We test
H0:p=.50 Ha:p>.50 (a) What is the z-statistic for this test? (b)
What is the P-value of the test?

A polling organization conducted a statewide survey concerning
the race for governor. In a random phone number survey, 400
registered voters responded. It was found that 230 would vote for
the Democratic candidate. Let p represent the proportion of
registered voters in the state that would vote for the Democratic
candidate. Assume the sample of respondents is equivalent to a
random sample from the population of registered voters in the
state.
1. Calculate the standard error for the estimate of...

Physicians at a clinic gave what they thought were drugs to 920
asthma, ulcer, and herpes patients. Although the doctors later
learned that the drugs were really placebos, 51 % of the patients
reported an improved condition. Assume that if the placebo is
ineffective, the probability of a patients condition improving is
0.46. For the hypotheses that the proportion who improve is 0.46
against that it is greater than 0.46, find the P-value.
P-value =
A newspaper conducted a statewide...

A random sample of ?=1000 registered voters and found that 520
would vote for the Republican candidate in a state senate race. Let
? represent the proportion of registered voters who would vote for
the Republican candidate.
Consider testing
?0:?=.50
??:?>.50
(a) The test statistic is ?z =
(b) Regardless of what you acutally computed, suppose your
answer to part (a) was z = 1.28. Using this z, p-value =

For each of the following problems, you must:
a) Define the population and the parameter of interest;
b) Identify the given and unknown information and write them in
correct notations,
c) Verify if the sampling distribution is approximately normal
by checking the conditions np > 5 and nq > 5),
d) Compute the probability.
e) Interpret the answer.
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1) The article “Should Pregnant Women Move? Linking Risks for
Birth Defects with Proximity to Toxic Waste Sites” (Chance (1992):
40-45)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 10 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 13 minutes ago

asked 17 minutes ago

asked 27 minutes ago

asked 44 minutes ago

asked 48 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 53 minutes ago