Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1= 971  n2=n2= 707  ¯x1=375  ¯x2=448 s1=150 s2= 179       Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for α=0.01α=0.01. H0H0: μ1=μ2 HaHa: μ1>μ2 Given the alternative hypothesis, the test is       Determine the test statistic. Round to four decimal places. t=t= Find the pp-value. Round to 4 decimals. pp-value =  Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis.

Find the P-value for the indicated hypothesis test. Round all proportions and standard scores to two decimal places.In a sample of 47 adults selected randomly from one town, it is found that 10 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ1=μ2Ho:μ1=μ2      Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 52 60.1 61.7 56.9 52 59.7 45 49.9 71.9 31.1 47.1 56.1 54.9 45 85.1 67 66.1 51.2 87.2 50.7 73.1 43.3 65.2 58.5 50.3 71.3 60.5 48 62.2 78.6 50.7 56.5 37.8 45.6 41.5 58.5 54.9 76.8 62.6 29.5 71.3 83.5 71.3 64.3 63 74.5 76.8 50.7 78.6 59.3 31.1 54.9 61.2 50.3 75.1 72.3 68.5 85.7 63.3 50.3 79.1 73.5 65.2 58.4 62.3 57 52.9 72.3 88.2 57.4 75.8 68.5 84.1 45 60 79.7 58.1 56.6 77.1 60.9 68.5 67.3 62 45 66.4 79.7 53.5 52.9 79.7 63.5 67.1 74.8 53.5 66.1 68.7 64.2 72.3 55.2 75.5   What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer…

State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.

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:

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A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1                 s = 2.3             n = 18              α = 0.01 H0: µ = 10 H1: µ < 10 The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)

Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…