Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black andwhite is greater than the proportion for those under 25. Complete parts (a) through (c) below.(Round to two decimal places as needed)Identify the P-valueP-value=(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?the null hypothesis. There isevidence 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.The P-value isthe significance level of a = 0.01, sob. Test the claim by constructing an appropriate confidence interval.The 98% confidence interval is< (P1 P2) U(Round to three decimal places as needed.)What is the conclusion based on the confidence interval?ack and white isthe proportion for those under 25.Because the confidence interval limits includevalues, it appears that the proportion of people over 55 who dream inBecause the confidence interval limits0, it appears that the two proportions areC. 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 that explanation?O A. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.O C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference.O D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.

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Ashudy w conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 001 sigrlicance level to test ihe cam that he proportion of pecple over 55 uhto dream a tack and whe gter than the proportion for those under 25 Complete parts (a) through (c) below (Round to two decmal places as needed) dentty the Pvalue Pralue (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? The Pvalue is the signticance level of a=001, so V the null hypothesis. There is 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 appropnate confidence interval The 98% contidence interval is (P -P:) O Round to three decimal places as needed) What is the conclusion baced on the confidence interval? the proportion for those under 25 V Because the confidence interval limits include values, it acpears that the proportion of people over 55 who dream in black and white is Because the confidence interval imits 0, t appears that the two proportons are CAn planation for the results is that those over the age of 55 grew up exposed to media that was dsplayed in black and white Can these results be used to verty that explanation? O A. Yes The results can be used to verty the given explanation because the diference in proportions is statistically signdicant OB. No The results speak to a possible diference between the proportions of people over 55 and under 25 who dream in black and whte, but the results cannot be used to verity the cause of such a diference OC. No The results speak to a possble diference between the proportions of people over 55 and under 25 who dream in black and white, but the resuts are not statistically signficant enough to verity the cause of such a difference O D. Yes The results can be used to verify the given explanation because the difference in proportions is practically significant

Ashudy w conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 001 sigrlicance level to test ihe cam that he proportion of pecple over 55 uhto dream a tack and whe gter than the proportion for those under 25 Complete parts (a) through (c) below (Round to two decmal places as needed) dentty the Pvalue Pralue (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? The Pvalue is the signticance level of a=001, so V the null hypothesis. There is 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 appropnate confidence interval The 98% contidence interval is (P -P:) O Round to three decimal places as needed) What is the conclusion baced on the confidence interval? the proportion for those under 25 V Because the confidence interval limits include values, it acpears that the proportion of people over 55 who dream in black and white is Because the confidence interval imits 0, t appears that the two proportons are CAn planation for the results is that those over the age of 55 grew up exposed to media that was dsplayed in black and white Can these results be used to verty that explanation? O A. Yes The results can be used to verty the given explanation because the diference in proportions is statistically signdicant OB. No The results speak to a possible diference between the proportions of people over 55 and under 25 who dream in black and whte, but the results cannot be used to verity the cause of such a diference OC. No The results speak to a possble diference between the proportions of people over 55 and under 25 who dream in black and white, but the resuts are not statistically signficant enough to verity the cause of such a difference O D. Yes The results can be used to verify the given explanation because the difference in proportions is practically significant

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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