A die is flipped 100 times with P(H) level of significance a = = p. suppose the head appear 60 times in the experiment. At 0.01 .By using the LRT to test the hypothesis 1 against H,: not equal , 1-2log A < C or - 2log A > c2 Ho: P = 1 the decision will be reject the hypothesis as follows p(z) = otherwise then your decision is Select one: а. -2log A > c, then, don't reject H, at a =0.01 b. -2log A > c, then, reject H, at a =0.01 C. -2log A
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- For a hypothesis test of H0:μ=μ0H0:μ=μ0 against the alternative Ha:μ<μ0Ha:μ<μ0, the z-test statistics is found to be 2.00. This finding is a.significant at neither the 0.01 nor the 0.05 levels. b.significant at the 0.01 level but not at the 0.05 level. c.significant at both the 0.01 and the 0.05 levels. d.not large enough to be considered significant. e.significant at the 0.05 level but not at the 0.01 level.A hypothesis test produces a t statistic of t = +2.19. If the researcher is conducting a two-tailed hypothesis test with α = .05, how large does the sample have to be in order to reject the null hypothesis?A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample?A. n = 23B. n = 22C. n = 21D. n = 20E. cannot be determined from the information given
- If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?If X1, X2, ... , Xn constitute a random sample of size nfrom a geometric population, show that Y = X1 + X2 +···+ Xn is a sufficient estimator of the parameter θ.For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.212, P-value=0.139, and y=7.59−0.256x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.05 significance level.
- For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.4, y=6.0, r=−0.170, P-value=0.238, and y=7.31−0.198x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=8. Use a 0.01 significance level. The best predicted value of y when x=8 isA company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?Resistors 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?
- If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.228, P-value=0.111, and y=7.81−0.280x. Find the best predicted value of y(attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.10 significance level. The best predicted value of ywhen x=5 is nothing. (Round to one decimal place as needed.)A study found that 1 out of 200 adult males have green eyes. If a random sample of 400 adult males is obtained, is the sampling of the sample proportion of males that have green eyes approximately normal? A. Yes, the sample size is greater than 10% of the population. B. Yes, the sample was randomly selected C. No, because np < 10 D. No, because nq < 10