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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)
- a hypothesis test produces a t statistic of t=2.3. if the researcher is using a two tailed test with a=0.05 how large does the sample have to bw in order to reject the null hypothesis?QUESTION 12 An educator estimates that the dropout rate for seniors at high schools in Colorado is 15%. Last year in a random sample of 300 Colorado seniors, 34 withdrew from school. At α = 0.05 level of significance, is there enough evidence to reject the educator’s claim? Yes, because the p-value is 0.075 No, because the p-value is 0.075 Yes, because the p-value is 0.038 Yes, because the p-value is greater than 0.15Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
- A hypothesis test produces a t statistic of t=2.01.If the researcher is using a two tailed test with x=0.05,how large does the sample have to be in order to reject the null hypothesis?QUESTION 13 A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Use the appropriate test at α = 0.05 level of significance to answer the following question: Is the success rate of “Instructor II” greater than success rate of “Instructor I”? Yes, because the p-value is 0.047 No, because the p-value is 0.047 No, because the p-value is 0.102 Yes, because the p-value is 0.102Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
- we run a hypothesis test for the difference of two means mu1 and mu2, with an alternative hypothesis of mu1 < mu2. And suppose that the test statistic is t = -1.68 (and the t-model has 20 degrees of freedom). What is the p-value for this test?Using the information provided in the SPSS output. You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesisThe closer the numerator of a t-test gets to zero, the more likely it is that there is no statistically significant difference between the two means we are testing. True False