1) Use the sample data and confidence level given below to complete parts(a) through(d).

In a study of cell phone use and brain hemisphericdominance, an Internet survey wase-mailed to 2365 subjects randomly selected from an online group involved with ears. 1178 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys.

a) Find the best point estimate of the population proportion p. ______(Round to three decimal places asneeded.)

b) Identify the value of the margin of error E.

E=________(Round to three decimal places asneeded.)

c) Construct the confidence interval._____

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B. 99% of sample proportions will fall between the lower bound and the upper bound.

C. One has 99% confidence that the sample proportion is equal to the population proportion.

D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

2) Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1079 adults, 84% said that they have a cell phone. Find the value of the test statistic.

The value of the test statistic is_______(Round to two decimal places asneeded.)

3)The test statistic of z=1.18 is obtained when testing the claim that p0.611.

a. Identify the hypothesis test as beingtwo-tailed, left-tailed, orright-tailed.

b. Find theP-value.

c. Using a significance level of =0.10, should we reject H0 or should we fail to reject H0?

a. This is a ______ test. ( left-tailed,right-tailed,two tailed)

b.P-value=_______(Round to three decimal places asneeded.)

c. Choose the correct conclusion below.

A.Reject H0. There isnot sufficient evidence to support the claim that p0.611.

B.Failtoreject H0. There isnot sufficient evidence to support the claim that p0.611.

C.Reject H0. There is sufficient evidence to support the claim that p0.611.

4) In a study of the accuracy of fast fooddrive-through orders, one restaurant had 34 orders that were not accurate among 356 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to10%. Does the accuracy rate appear to beacceptable?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.H0: p=0.1

H1: p0.1

B.H0: p0.1

H1: p=0.1

C.H0: p=0.1

H1: p<0.1

D.H0: p=0.1

H1: p>0.1

identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is_________(Round to two decimal places asneeded.)

Identify theP-value for this hypothesis test.

TheP-value for this hypothesis test is________(Round to three decimal places asneeded.)

Identify the conclusion for this hypothesis test.

A.Reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to10%.

B.Reject H0. There isnot sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to10%.

C.Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to10%.

D.Failtoreject H0. There isnot sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to10%.

Does the accuracy rate appear to beacceptable?

A.Since there isnot sufficient evidence to reject the claim that the rate of inaccurate orders is equal to10%, it is plausible that the inaccuracy rate is 10%. Thisratewouldbetoohigh, sotherestaurantshouldworktolowertherate.

B.Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to10%, the inaccuracy rate is acceptable.

C.Since there isnot sufficient evidence to reject the claim that the rate of inaccurate orders is equal to10%, the restaurant should work to increase that rate.

D.Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to10%, the inaccuracy rate isunacceptable, so the restaurant should work to lower that rate.

5)A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 295 vinylgloves, 55% leaked viruses. Among 295 latexgloves, 8% leaked viruses. Using the accompanying display of the technologyresults, and using a 0.01 significancelevel, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

What are the null and alternativehypotheses?

A.H0: p1=p2

H1: p1

B.H0: p1

H1: p1=p2

C.H0: p1=p2

H1: p1p2

D.H0: p1p2

H1: p1=p2

E.H0: p1>p2

H1: p1=p2

F.H0: p1=p2

H1: p1>p2

Identify the test statistic. _________(Round to two decimal places asneeded.)

Identify theP-value._______ (Round to three decimal places asneeded.)

What is the conclusion for thistest?

TheP-value is__________(greater than,less than) the significance level , so______(reject,fail to reject) the null hypothesis. There is _______(insufficient, sufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.

6) A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of55, 67 dream in black andwhite, and among 303 people under the age of25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts(a) through(c) below.

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesistest?

A.H0: p1=p2

H1: p1

B.H0: p1=p2

H1: p1p2

C.H0: p1=p2

H1: p1>p2

D.H0: p1p2

H1: p1p2

E.H0: p1p2

H1: p1p2

F.H0: p1p2

H1: p1=p2

Identify the test statistic.

z=______ (Round to two decimal places asneeded.)

Identify theP-value.

P-value=________(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

TheP-value is _________(less than, greater than) the significance level of =0.05, so _______(fail to reject, reject) the null hypothesis. There is _________(sufficient, insufficient) evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.

b. Test the claim by constructing an appropriate confidence interval.

The 90% confidence interval is______

What is the conclusion based on the confidenceinterval?

Because the confidence interval limits ________(include, do not include)

0, it appears that the two proportions are ________(not equal, equal)

Because the confidence interval limits include_________( positive and negative, only positive, only negative) values, it appears that the proportion of people over 55 who dream in black and white is________(not significantly different from, greater than, lesser than) the proportion for those under 25.

c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify thatexplanation?

A.No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black andwhite, but the results are not statistically significant enough to verify the cause of such a difference.

B.Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.

C.Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.

D.No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black andwhite, but the results cannot be used to verify the cause of such a difference.

7)Listed below are systolic blood pressure measurements(mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can beconcluded?

Right arm

150

139

142

131

136

Left-arm

168

178

184

141

148

In thisexample, d is the mean value of the differences d for the population of all pairs ofdata, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesistest?

A.H0: d0

H1: d=0

B.H0: d=0

H1: d<0

C.H0: d0

H1: d>0

D.H0: d=0

H1: d0

Identify the test statistic.

t=________(Round to two decimal places asneeded.)

Identify theP-value.

P-value=_______(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

Since theP-value is _______(greater, less) than the significancelevel,________(reject, fail to reject) the null hypothesis. There _______(is, is not ) sufficient evidence to support the claim of a difference in measurements between the two arms.