# A+ Answers

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 3.179, state your conclusion about the relationship between gender and colorblindness.

A. Do not reject H0.

B. Reject H0.

C. There is sufficient evidence to support the claim that gender and colorblindness are not related.

D. There is not sufficient evidence to accept or reject H0.

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 If gender and colorblindness are independent, find the expected values corresponding to the four combinations of gender and colorblindness, and enter them in the following table along with row and column totals. Colorblind Not Colorblind Total Male Female Total

A. Male Colorblind 6.0; Male Not Colorblind 54.0

B. Male Colorblind 7.0; Male Not Colorblind 53.0

C. Male Colorblind 8.0; Male Not Colorblind 52.0

D. Male Colorblind 6.0; Male Not Colorblind 53.0

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 24.8. What is the margin of error?

A. 4.4

B. 4.6

C. 4.8

D. 5.0

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 Find the value of the X2 statistic for the data above.

A. 1.463

B. 1.852

C. 1.947

D. 1.949

A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error?

A. 4.6

B. 4.4

C. 4.2

D. 5.6

The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? Explain your answer.

A. Smaller. E decreases as the square root of the sample size gets larger.

B. Smaller. E increases as the square root of the sample size gets larger.

C. Larger. E decreases as the square root of the sample size gets larger.

D. Larger. E increases as the square root of the sample size gets larger.

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 3.427, state your conclusion about the relationship between gender and colorblindness.

A. Do not reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

B. Do not reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.

C. Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

D. Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 State the null and alternative hypothesis for the test associated with this data.

A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way.

B. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are related in some way.

C. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way.

D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way.

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100 If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness.

A. Colorblind Female 4.8; Not Colorblind Female 55.2

B. Colorblind Female 3.2; Not Colorblind Female 36.8

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 24.8. What is the margin of error?

A. 4.4

B. 4.6

C. 4.8

D. 5.0

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 Find the value of the X2 statistic for the data above.

A. 1.463

B. 1.852

C. 1.947

D. 1.949

A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error?

A. 4.6

B. 4.4

C. 4.2

D. 5.6

The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? Explain your answer.

A. Smaller. E decreases as the square root of the sample size gets larger.

B. Smaller. E increases as the square root of the sample size gets larger.

C. Larger. E decreases as the square root of the sample size gets larger.

D. Larger. E increases as the square root of the sample size gets larger

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100 State the null and alternative hypothesis for the test associated with this data.

A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way.

B. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are related in some way.

C. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way.

D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way.

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed. Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100 If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness. A. Colorblind Female 4.8; Not Colorblind Female 55.2

B. Colorblind Female 3.2; Not Colorblind Female 36.8

C. Colorblind Female 4.8; Not Colorblind Female 35.2

D. Colorblind Female 3.8; Not Colorblind Female 36.2

The __________ test statistic is for the one-way analysis of variance.

A. P-Value

B. t

C. F

D. p

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