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## QUESTION 1 1. Find the indicated critical z value. Find the critical value z?/2 that corresponds to

QUESTION 1
1.
Find the indicated critical z value.

Find the
critical value z?/2 that corresponds to a
91% confidence level.

1.34

1.75

1.645

1.70

QUESTION 2
1. Assume that a sample is
used to estimate a population proportion p. Find the margin of error E that
corresponds to the given statistics and confidence level. Round the margin of
error to four decimal places.

99%
confidence; n = 5900, x = 1770

0.0117

0.00878

0.0154

0.0135

QUESTION 3
1. Use the given data to find
the minimum sample size required to estimate the population proportion.

Margin of
error: 0.07; confidence level: 95%; from a prior study, ^ is
estimated by the decimal equivalent of 92%. p

58

174

51

4

QUESTION 4
1. Solve the problem. Round
the point estimate to the nearest thousandth.

32
randomly picked people were asked if they rented or owned their own home, 8
said they rented. Obtain a point estimate of the proportion of home owners.

0.781

0.750

0.200

0.250

QUESTION 5
1. Use the given degree of
confidence and sample data to construct a confidence interval for the
population proportion p.

Of 260
employees selected randomly from one company, 18.46% of them commute by
carpooling. Construct a 90% confidence interval for the true percentage of all
employees of the company who carpool.

13.7%
< p=””>< 23.2%=”” 12.9%=””>< p=””>< 24.1%=”” 12.3%=””>< p=””>< 24.7%=”” 14.5%=””>< p=””>< 22.4%=”” question=”” 6=”” 1.=”” do=”” one=”” of=”” the=”” following,=”” as=”” appropriate:=”” (a)=”” find=”” the=”” critical=”” value=”” z?/2,=”” (b)=”” find=”” the=”” critical=”” value=”” t?/2,=”” (c)=”” state=”” that=”” neither=”” the=”” normal=”” nor=”” the=”” t=”” distribution=”” applies.=”” 90%;=”” n=”10;” is=”” unknown;=”” population=”” appears=”” to=”” be=”” normally=”” distributed.=”” t?/2=”1.833″ t?/2=”1.812″ z?/2=”1.383″ z?/2=”2.262″ question=”” 7=”” 1.=”” use=”” the=”” given=”” information=”” to=”” find=”” the=”” minimum=”” sample=”” size=”” required=”” to=”” estimate=”” an=”” unknown=”” population=”” mean=”” margin=”” of=”” error:=”” \$126,=”” confidence=”” level:=”” 99%,=”” ==”” \$512=”” 56=”” 110=”” 63=”” 45=”” question=”” 8=”” ^=”” p-p=”” find=”” the=”” value=”” of=”” the=”” test=”” statistic=”” z=”” using=”” z=”pq” .=”” the=”” claim=”” is=”” that=”” the=”” proportion=”” of=”” accidental=”” deaths=”” of=”” the=”” elderly=”” attributable=”” to=”” residential=”” falls=”” is=”” more=”” than=”” 0.10,=”” and=”” the=”” sample=”” statistics=”” include=”” n=”800″ deaths=”” of=”” the=”” elderly=”” with=”” 15%=”” of=”” them=”” attributable=”” to=”” residential=”” falls.=”” -3.96=”” 4.71=”” 3.96=”” -4.71=”” question=”” 9=”” express=”” the=”” null=”” hypothesis=”” and=”” the=”” alternative=”” hypothesis=”” in=”” symbolic=”” form.=”” use=”” the=”” correct=”” symbol=”” (?,=”” p,=”” for=”” the=”” indicated=”” parameter.=”” an=”” entomologist=”” writes=”” an=”” article=”” in=”” a=”” scientific=”” journal=”” which=”” claims=”” that=”” fewer=”” than=”” 16=”” in=”” ten=”” thousand=”” male=”” fireflies=”” are=”” unable=”” to=”” produce=”” light=”” due=”” to=”” a=”” genetic=”” mutation.=”” use=”” the=”” parameter=”” p,=”” the=”” true=”” proportion=”” of=”” fireflies=”” unable=”” to=”” produce=”” light.=”” h0:=”” p=””> 0.0016
H1: p ? 0.0016

H0: p < 0.0016=”” h1:=”” p=”” 0.0016=”” h0:=”” p=”0.0016″ h1:=”” p=””>< 0.0016=”” h0:=”” p=”0.0016″ h1:=”” p=””> 0.0016

QUESTION 10
1. Formulate the indicated
conclusion in nontechnical terms. Be sure to address the original claim.

A
skeptical paranormal researcher claims that the proportion of Americans that
have seen a UFO, p, is less than 2 in every ten thousand. Assuming that a
hypothesis test of the claim has been conducted and that the conclusion is
failure to reject the null hypothesis, state the conclusion in nontechnical
terms.

There
is not sufficient evidence to support the claim that the true proportion is
less than 2 in ten thousand.

There
is sufficient evidence to support the claim that the true proportion is
greater than 2 in ten thousand.

There
is sufficient evidence to support the claim that the true proportion is less
than 2 in ten thousand.

There
is not sufficient evidence to support the claim that the true proportion is
greater than 2 in ten thousand.