6. In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. In a recent poll, 403 out of 1122 randomly selected adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. Has the proportion of families with children under the age of 18 who eat dinner together 7 nights a week decreased? Use a 0.05 level of significance.
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- B and C pleaseSuppose a marriage counselor believes that the proportion of married couples with three personality preferences in common is significantly different from the known value of 35%. A survey randomly given to her current and former clients found 130 of 432 couples who sharedthree personality preferences. Does this indicate that the proportion is significantly different (either higher or lower)? Use a 1% level of significance to test her claim and show all work.A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 321 people over the age of 55, 77 dream in black and white, and among 311 people under the age of 25, 13 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 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 hypothesis test? A. Ho: P1 P2 H₁: P₁ P2 OD. Ho: P1 P2 Н1:01A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 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. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is 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…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 284 people, under the age of 25, people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. dream in black and white. Use a 0.05 significance level to test the claim that the proportion of vvnat is tne conciusion pasea on tne contiaence intervai? Because the confidence interval limits V 0, it appears that the two proportions are Because the confidence interval limits include values, it appears that the proportion of people over 55 who dream in black and white is V 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 that explanation? O A. Yes. The results can be used to verify the given…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 315 people over the age of 55, 61 dream in black and white, and among 285 people under the age of 25, 12 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 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 hypothesis test? O A. Ho: P1 = P2 H1: P1 > P2 O B. Ho: P1 # P2 H1: P1 = P2 OC. Ho: P1 = P2 H;:PqQ: An online bookseller is considering selling an e-reader but will do so only if they have evidence that the proportion of customers who will likely purchase one is more than 0.4. Of a survey of 25 customers, 8 of them stated that they would likely purchase an e-reader. What should the bookseller do? Use a 5% significance level.A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 73 dream in black and white, and among 315 people under the age of 25, 18 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 and white proportion for those under 25. Complete parts (a) through (c) below. greater than the Identify the test statistic. z= 6.10 (Round to two decimal places as needed.) Identify the P-value. @ 2 P-value=0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? View an example Get more help. H₁: P₁ P₂ W S The P-value is less than the significance level of a 0.01, so dream in black and white is greater than the proportion for those under 25. reject b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is O L command F10 P H₁: Pg #P₂ L ; Clear all I…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 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 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. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval isAstudy 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 dreamn tackand 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 altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of 55, 78 dream in black and white, and among 291 people under the age of 25, 10 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 and white is greater than the proportion for those under 25. Complete parts (a) through (c) below indentify test statistic p value= the 90% confidence interval isBecause the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V 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 that explanation? O A. 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 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 are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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