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- For T:P5P3 and nullity(T)=4, find rank(T).Match each p-value to the most appropriate conclusion. A 0.0001 B 0.0735 C 0.6082 D 0.0361______ “The evidence against the null and in favor of the alternative is very strong.”______ “The result is significant at the 5% level but not at the 1% level.”______ “There is really no evidence supporting the alternative hypothesis.”______ “The evidence against the null is significant, but only at the 10% level.”Given the information, sketch the p-value,determine the p value, compare the p value to alpha and form a conclusion about the null hypothesis. show all work H1 : p does not equal 98.6 z=2.37
- An instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…A stationery store owner claims that the average price of greeting cards that it has in inventory is less than R25. The null and alternative hypotheses is: A. H0: µ = 25 H1: µ ≠ 25 B. H0: µ > 25 H1: µ < 25 C. H0: µ = 25 H1: µ < 25 D. H0: x ̅ = 25 H1: x ̅ < 25A researcher has boiled her hypothesis test down to the following information.H0H0: μ=40μ=40, HaHa: μ>40μ>40, α=0.08α=0.08¯x=40.719x¯=40.719, s=5.8914s=5.8914, n=21n=21Find the p-value.
- The test statistic of z equals 1.86 is obtained when testing the claim that pnot equals 0.778. a. Find the P-value.Conduct the hypothesis test for H0: µ = 10 versus Ha: µ < 10 where x bar = 9.6 and s = 3, n = 50. Use alpha = .01. Explain whether we should reject or accept the null hypothesis.A researcher believes that the average amount of calories consumed daily differs between adult males and adult females between the ages of 25 and 35. Suppose she collected data to test her belief and found a p-value of 0.023. Fill in the information for her hypothesis test below. Fail to reject/reject H0 since a. Fail to reject H0 since p = 0.023 < 0.05 b. Fail to reject H0 since p = 0.05 > 0.023 c. Reject H0 since p = 0.023 < 0.05 d. Reject H0 since p = 0.05 > 0.023
- Given the Data:Test the hypothesis that p(rho)xy is not equal to 0 at the 0.05 level of significance.A researcher believes that more than half of college students average less than 6 hours of sleep per night during the week. Suppose she collected data to test her belief and found a p-value < 0.0001. Fill in the information for her hypothesis test below. Fail to reject/reject H0 since a. Fail to reject H0 since p = 0.05 > 0.0001 b. Fail to reject H0 since p < 0.0001 < 0.05 c. Reject H0 since p < 0.0001 < 0.05 d. Reject H0 since p = 0.05 > 0.0001Consider the following hypotheses. H0: p= 0.46 H1: p≠ 0.46 Given that p= 0.35, n= 160, and a = 0.10 a) what conclusions should be drawn? b) determine the p-value for this test. I need help please!!!
