3. A recent report stated that the proportion of teens that vape has decreased from the prior year. The authors randomly selected a group of 600 teens from the current year and 126 of them vape. They randomly selected 800 teens the prior year and 216 of them vaped. Is there significant evidence that the proportion decreased? e. Based on a 5% significance level, what conclusion should be made?
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
3. A recent report stated that the proportion of teens that vape has decreased
from the prior year. The authors randomly selected a group of 600 teens
from the current year and 126 of them vape. They randomly selected 800
teens the prior year and 216 of them vaped. Is there significant evidence
that the proportion decreased?
e. Based on a 5% significance level, what conclusion should be made?
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- If a fair coin is tossed 10 times what is the probabilty that the first five are the same side? Ans. 1/16 .25%.I am being told that the sample size answer of 384 given to me was incorrect. Is there any way this was miscalculated?A marketing agency wanted to determine if a new commercial changed people's opinion about a company. They recruited n=30 participants to watch the commercial. First, everyone was givien a survey to determine their attitudes toward the company. Then, everyone watched the new commercial. Finally, they were given the same survey again and asked about their attitudes toward the comapny after seeing the commercial. The agency wanted to see if attitudes were changed by the commercial. What statistical test should they use?
- E NOLI Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens? No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values. Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both the lower limit and the…105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 36, 98, 957. Is there a relationship between gender and the type of car driven? A random sample of 1000 adults was obtained. The subjects sampled were asked their gender and what type of car they drive given choices: car, truck, or SUV. Of the females sampled, 210 drive a car, 110 drive a truck, and 180 drive a SUV. Of the males sampled, 175 drive a car, 140 drive a truck, and 185 drive a SUV. At the 5% significance level what conclusion can be reached? Would your decision change at the 2.5% significance level? prk oubu buogncs br bolk A 102 4 c hto
- 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…8A 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;:PqA 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 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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