suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims are percentage of blue candies is equal to 22%. use a .05 significance level to test the claim.
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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.
suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims are percentage of blue candies is equal to 22%. use a .05 significance level to test the claim.
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- 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?105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 36, 98, 95A 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…14) n gall up poll of 1125 adults, it was found that 47% fly never or rarely. Use a 5% significance level to test that the percentage of adults who fly never or rarely is 50%. (use p-value approach) a. Claim b. Ho H1 c. P-value d. Reject Ho Do not reject Ho e. Write a statement about the claimChoose the correct answer.If the P-value of a test of significance is 0.999 then:A. the null hypothesis should be rejected.B. the null hypothesis should not be rejected.C. the alternative hypothesis provides a plausible explanation of the data.D. Both A and C are true.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;:PqA 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…It has been claimed that at a university at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. What is the test value for testing the claim at a=.02? O A. - 2.33 B. 1.32 O C. -1.32 O D. - 1.29Astudy 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,Because 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…Suppose that you wanted to buy a new Honda Civic and you want to wait until you can get a good deal. You want to see if the usual/average price of a Honda Civic is below the blue book value of $21,550. You are unsure that the prices of the current listings around you are lower than the blue book value of a Honda Civic so you randomly sample 49 listings from the area and find their sample mean selling price is $20,015 and their sample standard deviation is $1750.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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