Consider the hypothesis test of H9 : o² = 7 against H1:0 # 7. Approximate the P-value for each of the following test statistics. * Your answer is incorrect. (a) xã = 25.2 and n = 20. O 0.2 < P – value
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- You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:Ho : pA=0.4; pB=0.2p pC=0.3 pD=0.1Complete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 54 B 44 C 48 D 22 What is the chi-square test-statistic for this data?χ2=Report all answers accurate to three decimal places.VERY IMPORTANT NOTE: Answers are reported to 3 decimal places, but you should use all the decimal places to calculate the final chi-square test statistic...DO NOT use the rounded number you report in the table.Ex K A 2 Consider a sample of 49 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. W S Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.5 H₁: p>0.5 OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 D Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) X mmand дв Monroe's Temp....docx. Removed 3 8.0 E D C $ 4 FA R F W SAMPLE Persuas....pdf % 5 V V T G 6 A B MacBook Air & Y 5373255 (1) (1).docx H & 7 U N * 8 J A DII 1 M ( 9 5373255 (1).docx K O < 1 H O L F 10 Clear all P Л. ... I PR { + Check answer ? command option Show All 1 F12 X L 1 deThe federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the p-value for this hypothesis test would be ________.
- A researcher suspects that the mean birth weights of babies whose mothers did not see a doctor before delivery is less than 3000 grams. The researcher states the hypotheses as H:x = 3000 grams H, x 3000 grams; He:x< 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: x < 3000 grams; H,:x = 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: = 3000 grams; H # 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. Ho: i = 3000 grams; H:< 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. O Ho : š == 3000 grams; H. x 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery.Suppose are running a study/poll about the proportion of voters who prefer Candidate A. You randomly sample 102 people and find that 70 of them match the condition you are testing.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.68Ha:p<0.68Calculate the test statistic, rounded to 3 decimal places z=A coin was flipped 69 times and came up heads 39 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance. Reject H0 if z > 1.282 Reject H0 if z < 1.282 a b (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.) Test statistic (a-3) The null hypothesis should be rejected. False True (a-4) The true proportion is greater than .50. False True (b-1) Find the p-value. (Round your answer to 4 decimal places.) p-value (b-2) Is the coin biased toward heads? No Yes
- Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 6 H₁: μ #6 Suppose you also know the following information. The value of the test statistic based on the sample is 1.518 (rounded to 3 decimal places). The p-value is 0.129 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3 0.2 0.1-You are a consumer psychologist interested in holiday spending. A national census reports that the American family spent an average of µ = $81 for Halloween candy and costumes last year. A sample of N = 16 families this year produced a mean of $85 with s = 20. Based upon your obtained t and critical t, can you reject the null? Yes No Not enough information to decideYou are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:Ho : pA=0.2 pB=0.3; pC=0.1; pD=0.4Complete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 38 B 41 C 10 D 57 What is the chi-square test-statistic for this data?χ2=Report all answers accurate to three decimal places.VERY IMPORTANT NOTE: Answers are reported to 3 decimal places, but you should use all the decimal places to calculate the final chi-square test statistic...DO NOT use the rounded number you report in the table.
- Test the claim about the population variance o² at the level of significance a. Assume the population is normally distributed. Claim: o² ≤17.1; x = 0.01 Sample statistics: s² = 25.13, n = 41 Write the null and alternative hypotheses. Ho: H₂:0²which of the following statements is true if when using null hypothesis testing, our p value (in the sig column of spss output) is 0.069? -reject the null hypothesis -daily to reject the null hypothesis -reject the alternative hypothesis -fail to reject the alternative hypothesisSuppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the…