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6.12. For a test of H0: π = 0.50, the z test statistic equals 1.04.
(a) Find the P-value for Ha: π> 0.50.
(b) Find the P-value for Ha: π = 0.50.
(c) Find the P-value for Ha: π< 0.50.
(d) Do any of the P-values in (a), (b), or (c) give strong evidence against H0? Explain
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- The p-value for the above problem is < 0.0001. Which of the following is a correct conclusion? There is not enough evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are the same as reported by the football agency. There is strong evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are different than reported by the football agency. There is strong evidence that all of the proportions of European football players who take magnesium in topical, pill, and powder form are the same as reported by the football agency. There is strong evidence that at least one of the proportion of European football players who take magnesium in topical, pill, and powder form is different than reported by the football agency. There is not enough evidence that at least one of the proportion of European football players who take magnesium in topical, pill, and…The research examining the effects of preschool childcare has found that children who spent time in daycare perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended daycare before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α= .01 a. Is this sample sufficient to conclude that the children with a history of preschool daycare are significantly better from the general population? b. Compute the 95% confidence interval. show all workThe research examining the effects of preschool childcare has found that children who spent time in day care perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended day care before starting school had an average score of M = 87 with SS = 1536 on standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α = .01. a. Is this sample sufficient to conclude that the children with a history of preschool day care are significantly better from the general population? b. Compute the 95% confidence interval.
- A random sample of n1 = 16 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 14 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 17. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: ?1 < ?2; H1: ?1 = ?2H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 ≠ ?2H0: ?1 = ?2; H1: ?1 < ?2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population…I'm having issue with E because I don't know the p-valueA random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 11. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=__ (c)Find (or estimate) the P-value. (Round your answer to four decimal places.=__
- A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 13. For Englewood (a suburb of Denver), a random sample of n2 = 10 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 11. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. what is the sample test statistic find or estimate p valueIf the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistentA researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the 10 participants in treatment A is 4 points higher than the mean for the 10 participants in treatment B and the data produce t = 2.095, what decision should be made? a. With a = .05, reject H0 for a one-tailed test but fail to reject for a two-tailed test b. With a = .05, reject H0 for a two-tailed test but fail to reject for a one-tailed test c. With a = .05, fail to reject H0 for both a one-tailed and a two-tailed test d. With a = .05, reject H0 for both a one-tailed and a two-tailed test
- A random sample of n1 = 20 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 11. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that ?2 = 15. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)b) Find (or estimate) the P-value. (Round your answer to four decimal places.)A test of H0H0:μ=1:μ=1 against HaHa:μ>1:μ>1 has test statistic zz = 1.74. Answer "Yes/Y" or "No/N" to the following questions. Is this test significant at the 2.5% level (αα = 0.025)? Is it significant at the 0.5% level (αα = 0.005)?In a test of H0: µ=75 against HA: µ<75, a sample of size 450 produces Z = -1.19 for the value of the test statistic. Thus the p-value is approximately equal to: