A random sample of 154 recent donations at a certain blood bank reveals that 86 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01.   (b) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z  =    P-value  =

A random sample of patient records from a large medical facility were taken and subjects were classified by smoking status and cholesterol levels. The results are summarized in the table with observed counts next to expected values in parentheses followed by the Chi-square component for each cell in brackets. Cholesterol Level Never Smoked 80 (68.86) [1.80] 49 (48.55) [0.00] 28 (39.59) [3.40] Totals 157 Low Moderate High Smoking Status Former Smoker 63 (63.16) [0.00] 37 (44.53) [1.27] 44 (36.32) [1.63] 144 Current Smoker 57 (67.98) [1.77] 55 (47.93) [104] 43 (39.09) [0.39] 155 Discuss briefly if the conditions for this test have been met. Totals 200 141 115 456

A data set includes data from student evaluations of courses. The summary statistics are n=97​, x=3.44​, s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative​hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.       What are the null and alternative​ hypotheses?     A. H0​: μ=3.50 H1​: μ≠3.50   B. H0​: μ=3.50 H1​: μ>3.50   C. H0​: μ=3.50 H1​: μ<3.50   D. H0​: μ≠3.50 H1​: μ=3.50 Determine the test statistic.   nothing ​(Round to two decimal places as​ needed.) Determine the​ P-value.   nothing ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   ▼   Fail to reject Reject H0. There is ▼   sufficient not sufficient evidence to conclude that the mean…

Suppose you had obtained a test statistic of 2.45 (this is incorrect). What would the P-value be? Draw a conclusion based on a = 0.01. Select one: O a. 0.01 < P-value < 0.02, we fail to reject Ho and do not have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O b. 0.005 < P-value < 0.01, we fail to reject Ho and do not have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O c. 0.01 < P-value < 0.02, we reject Ho and have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet for 6 weeks is not the same for men and women. O d. 0.005 < P-value < 0.02, we reject Ho and have sufficient evidence to conclude that the mean difference in LDL from switching from an omnivorous to a plant-based diet…

A psychologist examines retention of a learned task in monkeys. At 90 days 5 monkeys are trained on a discrimination task. Then their performance is tested again at 4 months, 6 months, and 1 year. A partial ANOVA summary table follows. The data were analyzed using a repeated-measures ANOVA. Answer the following: Describe the null and alternative hypotheses. Then complete the source table. Source Between treatments SS df MS F 11 Within treatments Between subjects Error 40 Total 143

Please answer the incorrect ones only.

An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?   With that p value, the results are not significant.    With that p value, the differences are very close, but not statistically significant.   The salary differences are not statistically significant.   The salary differences are statistically significant.