If the chi-square statistic/value is 26.88 and the chi-square critical is 5.99, what do you do with the null hypothesis?
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A: Decision rule : Reject H0 if P-value < α
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Q: chi-square test statistic by hand
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Q: You are a research assistant at a zoo. The question of your study is "Has the proportion of baby…
A: From the provided information, The question of your study is "Has the proportion of baby zebras born…
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- If you have do not have enough evidence to reject the null hypothesis at the 5% significance level using the critical value method, you will not have enough evidence to reject at the 10% significance level. True O FalseAlthough the samples are actually related, an investigator ignores this fact in the statistical analysis and uses a t test for two independent samples. How will this mistake affect the probability of a type II error?A grocery store says their mangoes are fresher than most. A typical grocery store has roughly 10% go bad before they sell. A random sample of 135 mangoes from the store showed that 13 of the mangoes were rotten. Assume we have a significance level of 0.05. 1. null hypothesis____________ the alternative hypothesis is__________ 2. Our z-test statistic is 3. Our p-value is 4. evidence supporting the alternative?
- USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 481 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.47; H1: p > 0.47H0: p = 0.47; H1: p < 0.47 H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The Student's t, since np > 5 and nq > 5.The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True FalseUSA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 487 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 H0: p = 0.47; H1: p < 0.47H0: p = 0.47; H1: p > 0.47 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…
- The 2x5 table below shows the results of a random sample of 2200 adults classified by 2 variables: gender and preferred way to eat ice cream. At the 5% significance level, test the claim that the two variables are independent. Your solution must include the claim, the null and alternate hypothesis, your test statistic, the degrees of freedom, the p-value, your decision, and the interpretation of your decision as it relates to the claim. Calculate the chi-square test statistic by hand and show all workWhat is the name of the statistical test that is used to find power of a test that has two replicates?We use the results of our first step to calculate a test-statistic. Why is this important and how does it relate to the concept of z-score, What is a p-value? What role does it play in the rejection of the null hypothesis? What does it mean to reject the null hypothesis? Does that guarantee that the null hypothesis is false?
- A change is made that should improve student satisfaction with the parking situation at your school. Before the change, 37% of students approve of the parking that's provided. The null hypothesis Ho : p = 0.37 is tested against the alternative H.: p > 0.37 The given hypotheses are incorrect. What are the appropriate hypotheses for performing this significance test? Ho : p = 0.37; Ha :p> 0.37, where p= the true proportion of students that approve of the parking that's provided. Ho : p = 0.37; Ho : p + 0.37, where p= the true proportion of students that approve of the parking that's provided. Ho : p > 0.37; Họ : p = 0.37, where p= the true proportion of students that approve of the parking that's provided. Ho : p = 0.37; H, : p + 0.37, where p the sample proportion of students that approve of the parking that's provided. Ho : p > 0.37; Họ : p = 0.37, where p the sample proportion of students that approve of the parking that's provided.What is the null hypothesis? Why do we want to reject our null hypothesis? The first step is the find the mean of our sample and compare it to the "hypothesized" mean of our null hypothesis—why do we do that? We use the results of our first step to calculate a test-statistic. Why is this important and how does it relate to the concept of z-score, which we learned a few weeks ago? What is a p-value? What role does it play in the rejection of the null hypothesis? What does it mean to reject the null hypothesis? Does that guarantee that the null hypothesis is false?A researcher was doing a study for a new Coronavirus Drug and conducted a hypothesis test like this one: H0: μ = 18 Ha: μ ≠ 18 a. What type of test is this? left-tailed right-tailed two-tailed b. She obtained a test statistic of 0.75, with a p-value of 0.4648. So she concluded that her true mean must be equal to 18. Is this interpretation correct? Yes No Why or why not?