II. Complete the table below. Usez-Critical Value Table ort-Critical Value Table. Type of Test a Sample Size Computed Value 0.01 n=15 2.545 n230 1.345 1. two-tailed 2 Critical Value 1.28 Decision
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- Determine which of the following statements are true about the critical region. The critical region is a term used when the null hypothesis is rejected. The critical region is comprised of extreme sample values that are very unlikely to be obtained if the alternative hypothesis is true. The critical regions is determined by the alpha level. The critical region is comprised of extreme samples values that are very unlikely to be obtained if the null hypothesis is true1. What does it imply if if more values are concentrated above the mean? (Skewness) And would the value of skewness be less than, greater than, or equal to 0? 2. In case the data is highly skewed, can we still rely on the kurtosis coefficient? Why or why not? 3. Can the z-score be a real measure of dispersion?Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30
- An education researcher claims that 57% of college students work year-round. In a random sample of 500 college students, 285 say they work year-round. At α=0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s) (c) Find the standardized test statistic z . (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%Suppose a company claims that its market share is less than 16 percent, on average. Several of coworkers do not believe this, so a director decides to do a hypothesis test, at a 1% significance level, to persuade them. He conducts 21 surveys, collects the proper data, and works through the testing procedure: H0: μ≥16; Ha: μ<16 x¯=15.8 σ=1.8 α=0.01 (significance level) The test statistic is z0=x¯−μ0σn√=15.8−161.821√=−0.51 The critical value is −z0.01=−2.33. Conclude whether to reject or not reject H0, and interpret the results. Select the correct answer below: Reject H0. At the 1% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. Reject H0. At the 1% significance level, the data provide sufficient evidence to conclude that the mean market share is less than 16 percent. Do not reject H0. At the 1% significance level, the test results are not statistically significant…
- An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 4% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. A. Identify the claim and state HO and Ha B. Find the Critical Value(s) and identify the rejection region(s) C. Find the standardized test statistic d. Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.#1 The Pastry shop claims that its chocolate cookies have exactly 60% chocolate per cookie. A chemist invents an additive to increase the life of an automobile battery. He claims that now the lifetime of the automobile battery with the additive is more than 24 months. The 50Cents Store claims that their daily profit is at most $1000. For each of the following claims: Mention what kind of test should be used (one-tail, two-tail) and set up the null and alternate hypothesis. Consider that the critical value is = CV (cv represents a number already retrieved from table, for example 1.96). For each H0, mentioned the acceptance range.A researcher is using a two-tailed hypothesis test with α = .05 to evaluate the effect of a treatment. If the boundaries for the critical region are t = ± 2.080, then how many individuals are in the sample? Group of answer choices
- Suppose a mechanic claims that a machine filling bottles with saline solution is not equal to 153 ml, on average. Several of his coworkers do not believe him, so the mechanic decides to do a hypothesis test, at a 1% significance level, to persuade them. He fills 18 bottles, collects the proper data, and works through the testing procedure: H0: μ=153; Ha: μ≠153 x¯=156 σ=13 α=0.01 (significance level) The test statistic is: z0=x¯−μ0σn√=156−1531318√=0.98 The critical values are −z0.005=−2.58 and z0.005=2.58 Conclude whether to reject or not reject H0, and interpret the results. -Reject H0. At the 1% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. -Reject H0. At the 1% significance level, the data provide sufficient evidence to conclude that the mean filled bottle of saline solution is not equal to 153 ml. -Do not reject H0. At the 1% significance level, the test results are not statistically…Q1/ Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? .............................................................................................................................. Q2/ Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?Q1/Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? ........................................................................................................................ Q2 /Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
