Which situtaion below violates an assumption for conducting hypothesis tests using the t statistic?   Group of answer choices Two observations in a sample are independent from one another. The population from which a small sample (n < 30) is obtained for a hypothesis test is normally distributed. The population from which a large sample (n > 30) is obtained for a hypothesis test is not normally distributed. None of these situations violates an assumption for conducting hypothesis tests using the t statistic.

Which of the following most accurately describes a statistical hypothesis test? a technique that uses population data to make inferences about an unknown sample statistic a technique that allows researchers to describe a known sample O a technique that allows researchers to describe a known population O O O O a technique that uses sample data to draw inferences about an unknown population parameter

5 Hypothesis Test It is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). use this information to…

Dentists A toothpaste company wants to declare in an ad that more than 80% of dentists recommend their toothpaste.   The company performs a hypothesis test at the α = 0.05 significance level to test their claim. The company samples 800 dentists.  Of these, 653 recommend their toothpaste. Let p represent the population proportion of dentists that recommend their toothpaste. b.Calculate the z or t statistic. (Do not use continuity correction.  Round final answer to 4 decimal places) Statistic: c.  Find the p-value. (Do not use continuity correction.  Round final answer to 4 decimal places) p-value:

K Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1900 people with 1353 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁-P₂- What is the conclusion based on the hypothesis test? The test statistic is the critical region, so The 99% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p₁ the null hypothesis. There is in the interval, it indicates to evidence to conclude that p₁ # P₂. P₂, and the confidence interval suggests that p₁ VP2- D

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Cost of shopping Do consumers spend more on a trip toWalmart or Target? Suppose researchers interested in thisquestion collected a systematic sample from 85 Walmartcustomers and 80 Target customers by asking customersfor their purchase amount as they left the stores. The datacollected is summarized in the table below.To perform inference on these two samples, what condi-tions must be met? Are they? Explain. Walmart Targetn 85 80y $45 $53s $21 $19

Population 2 Assume that both populations are normally distributed. (a) Test whether µ, # H, at the a = 0.05 level of significance for the given sample data. Population 1 n 16 16 (b) Construct a 95% confidence interval about u, - 42. 10.9 8.7 2.2 2.6 ...

Drug Trial ProblemClinical trials for a drug was conducted using a treatment group and a placebo group.  The results are shown in the table below.   Treatment Placebo μ μ₁ μ₂ n 33 38 x̄ 2.31 2.87 s 0.85 0.71 Use a 0.05 significance level to test the claim that the two samples are from populations with different means. State the claim, null, and alternative hypothesis. Claim: μ1              μ2 HO: μ1                    μ2 H1: μ1             μ2

A college recently advertised that 92% of its students graduate debt-free. A student advocacy organization thinks that the college's claim is unlikely. The organization collected a random sample of 1051 recent graduates from the college and found that 90.2% of the sample graduated without any student debt. Use significance level of 10 % and employ the critical-v proportion of all students from this college that graduate debt-free is different than 92%. method to test the hypothesis that the State the null and alternative hypothesis for this test. О Н: р 0.92 О Но:р - 0.92, Ні:р 40.92 О Но:р 4 0.92, H:р - 0.92 О Но:р > 0.92, Нi:р <0.92 Determine the critical-value (s) for the hypothesis test. O-1.96, 1.96 O-1.64, 1.64 O-2.81, 2.81 01.64 Determine test statistic for the hypothesis test. O 3.38