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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- Auto Loans-George works for a credit union that serves a large, urban area. For his annual report, he wants to estimate the mean interest rate for 60- month fixed-rate auto loans at lending institutions (banks, credit unions, auto dealers, etc.) in his area. George selects a random sample of 12 lending institutions and obtains the following rates: 3.79 5.01 5,16 3.12 4.49 5.02 n = 5.58 4.08 4.01 7.02 4.33 3.64 Round all calculated answers to 4 decimal places. George calculates a sample mean of 4.6042 and a sample standard deviation of 1.0421. 1. Calculate a 90% confidence interval for the mean interest rate for 60-month fixed-rate auto loans at lending institutions in George's area. Assume necessary conditions have been met and round your result to 4 decimal places. After calculating the interval, George decides he wants to estimate the interest rate for 60-month fixed-rate auto loans at 90% confidence with a margin of error of no more than 0.13. 2. Using George's initial sample…atched Ani... 00Watch Invincible S... You can retry this question below ▼ Part 1 of 4 One study indicates that the number of televisions that American households have is distributed as in the following table. Percent of U.S. Households that Own Certain Number of TVs Number of TVs Percent of Households 0 1 2 3 4+ 0 1 2 3 4+ A random sample of 544 households in North Dakota resulted in the data in the following table. Number of TVs Reported Owned by 544 households in North Dakota Number of TVs At the 4% significance level, does it appear that the distribution "number of televisions" of households in North Dakota is different from the distribution for U.S. households as a whole? Step 1: State the null and alternative hypotheses. Number of TVs 0 Pokemon Jigglypu... Number of Households Ho: The distribution of the number of televisions in households in North Dakota matches the distribution of households in United States as a whole. ✓ 1 H₂: The distribution of the number of televisions in…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 4
- 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.answer the followingAnswer for this word bank questionNEED ANSWER ASAPWhat 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 5In 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=__________The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. minutes Frequency 3 0.22 4 0.36 5 0.28 6 0.10 7 0.04 Determine the drying time for these 5 random numbers: 0.13, 0.09, 0.19, 0.81, and 0.12. 3, 3, 3, 5, 5 3, 3, 4, 5, 3 3, 3, 3, 5, 3 3, 3, 4, 5, 4The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. P₂ P3 O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 Ho: P₁ = P₂ = P3 H: Not all population proportions are equal. O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ = P3 H: All population proportions are not equal. (b) Conduct the hypothesis test with a 0.05 level of significance. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Need Help? Read It State your conclusion. Reject H. We cannot conclude that not all of the population proportions are equal. O Do not reject Ho. We conclude that not all of the population proportions are equal. O Reject H. We…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 = 5SEE MORE QUESTIONS