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In one survey, 1247 out of 1521 randomly selected people said that typing on a cell phone while driving a car should be illegal.
Consider a hypothesis test that uses a significance level of 0.03 to test the claim that over 80% of people believe that typing on a cell phone while driving a car should be illegal.
a. What is the value of the test statistic?
b. What is the interval in which the p-value is found (1=[0,0.01],2=(0.01,0.025],3=(0.025,0.05],4=(0.05,0.10],5=(0.10, 1])?
c. Can you reject the null hypothesis at the 3% significance level (Y = yes, N = no)?
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- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 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. 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? A. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in…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…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 320 people over the age of 55, 72 dream in black and white, and among 313 people under the age of 25, 15 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. H0: p1=p2 H1: p1≠p2 B. H0: p1=p2 H1: p1>p2 C. H0: p1≥p2 H1: p1≠p2 D. H0: p1≠p2 H1: p1=p2 E. H0: p1≤p2 H1: p1≠p2 F. H0: p1=p2 H1:p1<p2 Identify the test statistic. z=_____ (Round to…
- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:In a Gallup poll of 1003 randomly selected subjects, 370 said they have a gun in their home. The accompanying Minitab display shows the results from a test at the 0.05 significance level of the claim that 40% of homes have guns in them. a. Explain the meaning of the p-value in the context of the problem.A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 64 dream in black and white, and among 312 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 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 O E. Ho: P₁ SP₂ H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P₂ P2Suppose 230 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.20 H1:p>0.20 B. H0:p=0.20H1: p≠0.20 C. H0:p=0.20 H1:p<0.20 D. H0:p>0.20 H1:p=0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ___________ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ___________ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test.When asked the question, "Do you believe Big Foot exists," out of 3,268 responses, 51.4% were "yes." Using a 0.05 significance level to test a claim that most people believe in Big Foot, a P-value of 0.0466 is found. State the initial conclusion and the final conclusion of the claim.
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