pawan01kamboj111

You are performing a right-tailed test. If a = .01, find the critical value, to three decimal places. zn = 2.33 Your claim results in the following alternative hypothesis: H: H = 182 which you test at a significance level of a = .10. Find the positive critical value, to three decimal places. 20/2 = Points nossible. 1 License You are performing a two-tailed test with test statistic z = 2.206, find the p-value accurate to 4 decimal places. p-value = Points possible: 1 License Inlimitad attomat It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? Ho: p= .08 Ha: p >.08 Ho: p= .08 Ha: p #.08 Ho: p= .08 Ha: p<.08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places) (c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z= (please round to two decimal places) (d) What is the p-value for this hypothesis test? p= (please round to four decimal places) Based on a sample of 80 textbooks at the store, you find an average of 105.96 and a standard deviation of 10. The point estimate is: (to 3 decimals) The 90 % confidence interval (use z*) is: (to 3 decimals) Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.05 significance level. The null and alternative hypothesis would be: Họ: 4 = 3.4 Ho:p > 0.85 Ho:p = 0.85 Ho:p < 0.85 H1:4 # 3.4 H1:p < 0.85 H1:P = 0.85 Hı:p > 0.85 Ho: 4 < 3.4 Ho:p > 3.4 H1:4 > 3.4 H1:4 < 3.4 The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 3.44 with a standard deviation of 0.06 The p-value is: (to 2 decimals) Test the claim that the proportion of people who own cats is smaller than 40% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p < 0.4 Houp > 0.4 H0:p = 0.4 H0: 4 = 0.4 Ha:p > 0.4 Ha:p < 0.4 Ha:p # 0.4 Ha:# 0.4 Ho:u > 0.4 Ho:u < 0.4 Haid < 0.4 Ha:p > 0.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 100 people, 39% owned cats The p-value is: (to 2 decimals) You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:= 65.9 Ha:u > 65.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 13 with mean M = 73.9 and a standard deviation of SD = 16.9. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

Are you smarter than a second-grader? A random sample of 62 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 56. Assume the standard deviation of test scores is a = 16. The nationwide average score on this test is 52. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the a=0.05 level of significance and the critical value method. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H.P = 52 H,p> 52 This hypothesis test is aright-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s):||

What is the probability of randomly selecting a score less than X = 52?

P(X < 52) =

 

What is the probability of selecting a random sample of n = 9 scores with a mean less than M = 52?

P(M < 52) =

(Look at photo)

 

What is the probability of selecting a random sample of n = 16 scores with a mean less than M = 52?

P(M < 52) =

Please help me for the Algebra question, thank you.