*isA study was conducted to determine the proportion of people who dream in black and white Instead of color. Among 307 people over the age of 55, 69 dream in black and white, and among 301 people under the age of 25, 13 dream in black and white. Use a 0.05 significance level to test the claim that the proportion ofpeople 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?OA. Ho: P1 P2H₁: P1 P2OD. Ho: P1 SP2H₁: P1 P2Identify the test statistic.(Round to two decimal places as needed.)Identify the P-value.P-value=(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?the significance level of a 0.05, sob. Test the claim by constructing an appropriate confidence intervalThe 90% confidence interval is < (P1-P2) <(Round to three decimal places as needed.)What is the conclusion based on the confidence interval?The P-value isBecause the confidence interval limitsthose under 25.View an exampleGet more help -2080 F366#310, it appears that the two proportions are$888 FAthe null hypothesis. There isOB. Ho: P1 P2H₁: P1 P2%OE. Ho: P₁Hy: P15c. 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?OA. 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.OB. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significantOC. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.OD. 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.P2P2FS-CTDBecause the confidence interval limits includeevidence 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.MacBook AirFo&7Yvalues, it appears that the proportion of people over 55 who dream in black and white is* 00➤118FBOC. He: P1 P₂H₁: P₁ P₂caOF. Ho: P1 P2H₁: P1 P₂9CO1OF10the proportion forNextdelet

Given Information: The number of people over the age of 55, n1=307 The number of dreams in white and…

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 307 people over the age of 55, 69 dream in black and white, and among 301 people under the age of 25, 13 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 teat 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? OA Ho: P1 P2 H₁: P₁ P2 OD. Ho: P1 SP2 H₁: P1 P2 Identify the test statistic 2- (Round to two decimal places as needed.) identify the P-value P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is is the significance level of a 0.05, so b. Test the claim by constructing an appropriate confidence interval The 90% confidence interval is (Round to three decimal places as needed) What is the conclusion based on the confidence interval? <(P₁-P₂)< Because the confidence interval limits those under 25 OB. He: P1 P2 H₁: P1 P2 0 it appears that the two proportions are OE. Ho: P1 P2₂ H₁: P1 *P₂ the null hypothesis. There is evidence to support the claim that the proportion of people over 55 who dream i Because the confidence interval limits include OC. Ho: P1 P₂ H₁: D1 D₂ OF. Ho: P1 P2 H₁: P1 P₂ e is greater than the proportion for those under 25 values, it appears that the proportion of people over 55 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? OA 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 OB Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant OC. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant OD. 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. the proportion for