Test all at a 5% significance level.
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A: Solution
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Q: you wish to test the following claim (HaHa) at a significance level of α=0.01.…
A: From the provided information,
1. For each below type in A, B, or C
A = reject the null hypothesis
B = fail to reject the null hypothesis
C = an error was made/ does not make sense.
Test all at a 5% significance level.
- p-value = 0.4
- p-value = 0.04
- p-value = 4
- p-value = 4*10-12
- p-value = 4*102
- p-value = 0.01
- p-value = -0.03
- p-value = 0.06
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- Suppose that we are testing a null hypothesis H0 about a populationproportion, using p-value techniques. If we are using a single set of data, which of the following are notpossible? (Select all that apply. You do not need to explain.)(a) We reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(b) We reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level.(c) We fail to reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(d) We fail to reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance levelThe null and alternate hypotheses are: He : Hd so на: на>0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of 4 days last month. Day 2 1 3 4 Day shift. 11 12 13 19 Afternoon shift 9 10 14 15 At the 0.03 significance level, can we conclude there are more defects produced on the day shift? Hint. For the calculations, assume the day shift as the first sample. Required: a. What is the p-value? NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-valueA series of tests are performed to test a particular hypothesis. The significance level is fixed to be 0.05. The characteristics of the tests are as follows Test 1: Has a significance level of 0.5, power of the test is 0.92 Test 2: Has a significance level of 0.1, power of the test is 0.73 Test 3: Has a significance level of 0.01, power of the test is 0.65 Test 4: Has a significance level of 0.2, power of the test is 0.99 Test 5: Has a significance level of 0.025, power of the test is 0.33 The most powerful test among the above mentioned tests is/are ______.
- A researcher is investigating the claim that the proportion of television viewers who identify one of four shows as their favorite is the same for all four shows. A x² goodness-of-fit test at a significance level of a = 0.05 produced the test statistic x? = 8.95 with a corresponding p-value of 0.03. Which of the following is correct? There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. There is sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. D There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. E There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the…Suppose 219 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea.Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
- You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.10)
- Assume a significance level of α=0.05and use the given information to complete parts (a) and (b) below. Original claim: More than 51% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0383. a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.) Choose the correct answer below. A.Reject H0 because the P-value is less than or equal to α. B. Fail to reject H0 because the P-value is greater than α. C. Fail to reject H0 because the P-value is less than or equal to α. D. Reject H0 because the P-value is greater than α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%. B. The percentage of…Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 373 positive signs, 333 negative signs, and 22 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. Wha are the null and alternative hypotheses? A. Ho: 1₁ #1₂ H₁:1₁ =11₂ C. Ho: 1₁ =1₂ H₁:1₁ <1₂ Find the test statistic. Test statistic = needed.) OB. Ho: 1₁ 2112 H₁:1₁ <1₂ D. Ho: 1₁ =112 H₁:1₁ #1₂ (Round to two decimal places asTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level. The null and alternative hypothesis would be: Но: дм — Мр Но: рм — МF Но: рм — Pr Но: рм — рF Но: им — МЕ Но: рм — РF PF Ho:HM = µf Ho:PM = Pf H1: µM + HF H1:µM PF H1:µM > µF H1:PM < PF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 40 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis