Find the expected counts in each category using the given sample size and null hypothesis. Ho: P₁ = 0.6, P2 = 0.1, P3 = 0.15, P4 = 0.15; n = 500 Enter the exact answers. Category Expected count 1 i 2 i 3 i 4
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- Find the expected counts in each category using the given sample size and null hypothesis. Ho: P₁ P₂ = P3 = P4 = 0.25; n Enter the exact answers. Category Expected count 1 2 = 700 3 i 4Given the following hypothesis ( null and alternative ), test statistic, and sample size, find the appropriate P- Value: A. H0: p= .3, p = .3 , Ha: p ≠ .3, n = 31, *z= -2.70 ( choose one ) a. .0035 b. .0060 c. .0070 d. .0120 B. H0: ? = .7, Ha: ? ≠ .7, n= 41, *t= -1.90 ( choose one ) a. .0287 b. .0320 c. .0574 d. .0640For a paired-sample study design, if the null hypothesis is true, then theoretically what value should be obtained for the sample mean? O Mp<0 O Mp = 0 O Mp20
- In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5For a two-tailed test with a sample size of 17 and a 0.20 level of significance, the t value is O a. 1.337 O b. 0.865 O c. 1.230 d. 1.734 ORamos has a spinning wheel. The Spining wheel has 18 blue numbers 18 white numbers and 2 yellow numbers the table provided shows the frequency with which the ball landed on each color in 200 trials. color blue frequency 18 white frequency 18 yellow frequency 2 . At the 5% significance level do the data suggest that the wheel is out of balance?you will need to compute the expected counts to do your calculations remember that the expected counts can be computed with the formula E = np, where n is the number of trials and P is the probability of each color.In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.05 significance level, test the claim that the responses occur with the same frequency. H0 : The responses to the questions occur with the same frequency. H1 : The responses to the questions do not occur with the same frequency. Response ObservedFrequency ExpectedFrequency (O−E)2E A 18 B 7 C 6 D 20 E 18 What is the χ2 test-statistic for this data? Round to four decimal places.χ2= _____________ What is the p -value? Round to four decimal places. p -value=__________A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 315 voters respond positively, we will conclude that at least 40% of the voters favor the use of these fuels. Question-1 Formulate the null and alternative hypothesis Question-2 Find the probability of type I error if exactly 40% of the voters favor the use of these fuels. Question-3 What is the type II error probability B if 38% of the voters favor this action? Question-4 Would increasing the sample size decrease the probability of rejecting the proportion that 40% are in favor of the use of oxygenated fuels-1 A.; B.; or C. ? 0 Z-distribution = 130 (approximately) 1 ABC + 2 3 Consider the figure above. A scientist tried performing an experiment with the following sample size: 3,5, and 20. Based from the figure, which of the following distribution is most likely for 20 sample size?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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