• Question 39 For a hypothesis test, alpha 0.01 %3D The computed P-Value 0.001 Should Ho be rejected?: O Reject Ho Fail to Reject Ho What is the correct conclusion? There is NOT sufficient evidence to reject the Null Hypothesis and accept the alternative. O There IS sufficient evidence to reject the Null Hypothesis and accept the alternative. Check Answer
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- Refer image to questions -What is the appropriate test to answer this question? -The null and alternative hypotheses are (choose from below) H0: π = 0.7, H1: π ≠ 0.7 H0: β = 0, H1: β ≠ 0 H0: μ = 0, H1: μ ≠ 0 H0: μ = 70, H1: μ ≠ 70 H0: μ1- μ2 = 0, H1: μ1- μ2 ≠ 0 - How can you justify the assumption for this test? (choose from below) -Since nπ and n(1-π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution -The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population -The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread -The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the…14At a magic shop, the salesperson shows you a coin that he says will land on heads more than 70% of the times it is flipped. In an attempt to convince you he's correct, the salesperson asks you to try the coin yourself. You flip the coin 65 times. (Consider this a random sample of coin flips.) The coin lands on heads 49 of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the salesperson's claim that the proportion, p, of all times the coin lands on heads is more than 70%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho H: 0 D=D (b) For your hypothesis test, you will use a Z-test. Find the values of np andn (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 and n(1-p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
- Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test Ho:p=0.7 versus H,: p>0.7 n= 125; x = 93, a 0.1 ***** Is npo (1-Po) 2 10? O Yes ON O Use technology to find the P-value. P-value= (Round to three decimal places as needed.) the null hypothesis, because the P-value is than a. Time Remaining: 03:45:30 Next DEC 15 MacBook Air 08 DD F5 F6 F8 * # % 2$ 3. N ommand1Consider the following hypothesis test. 2 H: 0,² 2 (a) What is your conclusion if n₁ = 21, s, ² = 4.2, n₂ = 26, and s₂² = 2.0? Use α = 0.05 and the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H₂. We cannot conclude that o, ² = 0,². 1 O Do not reject H. We cannot conclude that o O Reject H. We can conclude that a ²0₂². 2 O Do not reject H. We can conclude that , ² *0,² 2 (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.) test statistics test statistic 2 State your conclusion. O Reject H. We cannot conclude that ,2 # 0,₂². O Do not reject H. We cannot conclude that o 2 O Reject H. We can conclude that σ₂² # ₂². O Do not reject H. We can conclude that o
- Find the P-value for a left-tailed hypothesis test with a test statistic of z = - 1.68. Decide whether to reject H, if the level of significance is a= 0.10. P-value = (Round to four decimal places as needed.) State your conclusion. Choose the correct answer below. O Since P>a, fail to reject Ho- O Since P>a, reject Ho- O Since Psa, fail to reject Ho- OS ince Psa, reject Ho-You may need to use the appropriate echnology to answer this questiol Consider the following hypothesis test. Ha: Hd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 1 2 Difference 1 21 19 2 28 25 18 17 4 20 17 26 25 (b) Compute d. (c) Compute the standard deviation (d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value %3DBased on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 458 depressed individuals is selected and treated with Resithan, and 206 find relief from their depression. A random sample of 429 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion P, of all depressed individuals taking Resithan who find relief from depression is greater than the proportion P₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in…
- 16In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the…You are conducting a hypothesis test at the 0.05 alpha level for the claim that a coin is fair. In other words, the coin is equally likely to land heads as it is tails. The table below shows how the coin landed after many flips. Category How coin landed ObservedFrequency Heads 70 Tails 60 Report all answers accurate to two decimal places.What is the chi-square test-statistic for this data? χ2=χ2= What are the degrees of freedom for this test?d.f.= What is the p-value for this sample? p-value =