Suppose in a sample of 400 apples  79 are damaged  You want to test the claim the proportion that are damaged  is less  than 20%.  Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than  -1.645.  Which option is the correct hypothesis test.  Select one: a. H0: p= 0.8,  H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084,  reject H0 because there is  strong evidence the proprotion is above 80%  b. H0: p= 0.2,  H1 p <  0.2, standard error =0.02  test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20%  c. H0: p> 0.8  H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is  strong evidence the proprotion is above 80%  d. H0: =0.2,  H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80%

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You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 20 Model A washing machines is $211. Assume the population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). The mean repair cos Tor iModel A IS less tnan Model B. D. The mean repair costs for Model A and Model B are equal. Let be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O A. Ho: H1 H2 C. Ho: H12 H2 Ha: H1 H2 O D. Ho: H1 # H2 Hại H1 = H2 E. Ho: H1= H2 Hai H1 # H2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are - 2.58, 2.58 . (Round to two…

A survey claims that 9 out of 10 doctors recommend brand Wfor their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Wis less than 90%, a random sample of 100 doctors results in 85 who indicate that they recommend brand W. 1. What decision should you makeusing a significance level of 5%? 2. Summarize your conclusions in the context of the problem.

A sociologist claims that the students’ college GPA’s in unrelated to their families’ incomes. For a random sample of 20 students the coefficient of correlation was computed as 0.40. Using the 0.01 significance level, do the formal hypothesis test.Remember to show your steps (including all relevant information) show the steps on how to solve it

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 101.13, y = 103.5, r=0.867, P-value = 0.000, and y = 6.25 +0.96x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 101? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of ŷ is. (Round to two decimal places as needed.)

What is the P(-2.5 < t < 2.5) with a sample size of 15 ?

A random sample of n1 = 299 voters registered in the state of California showed that 146 voted in the last general election. A random sample of n2 = 211 registered voters in the state of Colorado showed that 120 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. I need help with the wrong ones. level of Significance: .05 | H0: p1 = p2; H1: p1 < p2 |

The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o = 8. A random sample of 92 matchboxes shows the average number of matches per box to be 42.9. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 40; H1: H + 40 O Ho: p = 40; H: p > 40 O Ho: H = 40; H1: µ 40 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic?…

It has been claimed that at UCLA at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. Does the evidence support the claim at  = .01?