sample of months and carry out a hypothesis test to see if its suspicions have support. State the null hypothesis H, and the alternative hypothesis H, that is would use for this test. Ho: O H₁: O μ ô Oso |x X X O < 0=0 0*0 p S <0 020
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- Test the null hypothesis H0:μ=3.9 against the alternative hypothesis HA:μ≠3.9, based on a random sample of 29 observations drawn from a normally distributed population with x¯=4.1 and σ=0.89 calculate the appropriate p-value.Test the claim about the difference between two population means H, and l, at the level of significance a. ASsume the samples are random and independent, and the populations are normally distributed. Claim: μ1 μ2 α= 0.01 Population statistics: o, = 3.5, o2 = 1.4 Sample statistics: x, = 17, n, = 31, x2 = 15, n2 = 30 Determine the alternative hypothesis. Hai H1 H2 Determine the standardized test statistic. (Round to two decimal places as needed.)Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 = H2; a = 0.01 Population statistics: o, = 3.5, o2 = 1.4 Sample statistics: x, = 17, n, = 31, X2 = 15, n2 = 30 Determine the alternative hypothesis. Ha: H1 # H2 Determine the standardized test statistic. z= 2.95 (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.)
- 14What type of test would you conduct for the following pair of hypotheses?H0:μ1−μ2=0H1:μ1−μ2≠0 a left-tailed test a right-tailed test a two-tailed test a half-way test none of the aboveTest 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 ommand
- A large nationwide poll recently showed an unemployment rate of 9% in the US. The mayor of a local town wonders this national result holds true for her town, so she plans on taking a sample of her residents to see if the unemployment rate is significantly different than 9% in her town. Let T represent the unemployment rate in her town. Here are the hypotheses she'll use: Null Hypothesis: T = 0.09 %3D Alternative Hypothesis: T 0.09 Which type of Error has been committed in the following situation? • She concludes the town's unemployment rate is not significantly different to 9% when it is actually 9%. Type II Error Type I Error No Error1Let population 1 represent teenagers. Let population 2 represent young adults. A person collected two independent, random samples to test if the average teenager get enough sleep per week is more than the average number of sleep that a young adult gets per week. The following hypotheses were used: Ho:μ1 = μ2 Ha: μ1> μ2 The hypothesis test will completed the using significant level .05. Random samples, one from each population, were selected. The resulting study produced a p-value = .265. 1.) What conclusion should the person draw in regard to the study between teenagers and young adults. Sum up your results. 2.) A p-value= .265 would be considered a.) High significant b.) Not significant c.) Little information to tell.
- Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.4 versus H₁: p> 0.4 n = 125; x = 65, α = 0.1 Is npo (1-Po) ² ≥ 10? No Yes ...Let n₁ = 50, X₁ = 40, n₂ = 50, and X₂ = 20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: ₁2π₂ H₁: π₁ π₂ C. Ho: π₁ #1₂ H1: П1 =П2 Calculate the test statistic, ZSTAT, based on the difference P₁ - P2. The test statistic, ZSTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. O D. Ho: ₁ = π₂ H₁: π₁ #π₂ 퍼 The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.)Based 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…