Define the alpha level and the critical region for a hypothesis test.
Q: 9-Step Complete hypothesis testing steps: Step 1: Make the Problem Statement Step 2: State the null…
A: Step 1: Make the Problem Statement The problem is to determine if there is a significant difference…
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A: Consider that p is the true proportion of Americans, who claimed to have seen a UFO.
Q: If a hypothesis test produces a z-score in the critical region, which decision should be made?…
A: The critical region is also called as rejection region which is the set of test statistic values for…
Q: Use hypothesis testing process. A random sample of n = 40 individuals is obtained from a population…
A: The hypothesis is, Null hypothesis: H0:μ=724 Alternative hypothesis: Ha:μ≠724 The sample standard…
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A: Null Hypothesis: H0: SBP of the volunteers after pill is not less than the SBP of the volunteers…
Q: An energy company wants to choose between two regions in a state to install energy-producing wind…
A: Given, n1=n2=90 For A : x¯=13.8, σx=2.9 For B : y¯=15.3, σy=3.2 α=0.05
Q: According to a recent study annual per capita consumption of milk in the United States is 21.5…
A: 1) From the provided information, The hypotheses can be constructed as: H0: µ = 21.5 H1: µ > 21.5…
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A: One prop Z test is applicable
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A: To test:H0:μ1=μ2H1:μ1≠μ2
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A:
Q: ical value(s) for a two-tailed test of a population mean at the α=0.10 level of significance…
A: Given: n=14. α=0.10 Two-tailed test Ths, Degrees of freedom = n-1 = 14-1=13
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A: Given, The sample proportion is,
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A: From the given information,
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A: Null hypothesis is a statement of no difference between population parameter and hypothesized value…
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A: Given : significance level,α= 0.05
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A: Sample of size(n)=1600Sample proportion()=0.47Population proportion(P)=0.44and =0.02
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Q: Determine the critical value(s) for a one sample hypothesis test for proportions that has a two…
A:
Q: Sketch the test for ? = 0.03. Shade the rejection region when the null hypothesis is considered for…
A: two tail = 0.03 / 2 = 0.03 / 2 = 0.015 Z / 2 = Z0.015 = ±2.17 ( Using z table ) critical…
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A: We know that if we want to test, H0 : μ=μ0 Vs H1 : μ≤μ0 Then the test statistics is t = x¯-μ0Sn…
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A: Given that, a poll done for Newsweek magazine found that 13% of Americans have seen or felt the…
Q: If a test statistic does not lie in the critical region, we should the null hypothesis.
A: Rejection Rule: IF the test statistic value lies within the critical region, then reject the null…
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A: A null hypothesis could be a statement, during which there's no relationship between two variables.…
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A: Given information- Sample size, n = 16 Sample mean, MD = 4.7 points SS = 2160 Significance level, α…
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A: Given: α=0.1
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A: It is given that sample size (n) is 1,000 and hypothesized proportion value p is 0.82.
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A: Given: p 0.026 x 10 n 500 α 0.01
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A: Given that Expected national rate =20% Sample size (n)=120 The number of people observed who…
Q: Question: A survery conducted reveals that 35 out of 150 females and 78 out of 180 males like to…
A: n1=150, x1=35n2=180, x1=78α=0.05
Q: Step 1. State Ho and H1 Step 2. Specify the level of significance. Step 3. Select the test…
A: The t-test statistic for a provided sample mean is, t=x¯-μ0snwhere x¯=sample means=sample standard…
Define the alpha level and the critical region for a hypothesis test.
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- The Admissions Office at a small university has developed a new 10-minute video about the university to send to prospective students. Before mass-producing the DVD, they would like to test whether it is more effective than the current video. Suppose that you have 12 high school student volunteers who have agreed to take part in an experiment. The explanatory variable to be studied is the type of video, with two levels OLD and NEW. Would you describe your study as a randomized comparative experiment, a matched pair experiment, or an observational study? Briefly explain.female results male results sample size=14 sample mean= 1800 sample stand dev= 400 sample size= 11 sample mean= 2500 sample stand dev= 250 5% significance level 1. state the null and alternative hypotheses 2. what is the test statistic and p-value (show work ) 3. make a decision about the null hypothesis and whyWill the critical value approach and the p-value approach return the same conclusion for a hypothesis test?
- Use the calculator to conduct a hypothesis test for the percentage of women who are in the directory. (Stage 1).Should you reject the claim? What is the level of significance? (Hint: 1-PropZTest)In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? \pm1.96±1.96 \pm1.645±1.645 \pm2.575±2.575 \pm2.05±2.05 \pm2.33±2.33A sample of 1200 computer chips revealed that 48 % of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 49% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim? Step 7 of 7: State the conclusion of the hypothesis test.
- A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 6 Neema Toads of Species I, 0.8% had the mutation while in a sample of 14 Neema Toads of Species II, 0.7% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of α=0.01α=0.01.a) The hypotheses for this test are: H0: pI - pII = 0Ha: pI - pII ≠ 0 H0: pI - pII = 0Ha: pI - pII < 0 H0: pII = 0.008Ha: pII ≠ 0.008 H0: pI - pII = 0Ha: pI - pII > 0 What is the test statistic for this test?test statistic = (Report answer accurate to 2 decimal places.)What is the p-value for this test?p-value = (Report answer accurate to 4 decimal places.)The decision reached is Fail to reject H0 Reject H0 and accept Ha As such, the final conclusion is that The prevalence of the mutation is the same for both species. There is…A legal researcher was interrested in gender differences in the willingness of prosecutrs to plea bargain. She recorded the number of times they plea bargained out of their last 10 cases for a sample of eight female prosecutors and seven male prosecutors. Table 2 shows the number of plea bargain cases by gender. Females Males 9 4 3 5 5 7 9 4 9 3 5 4 7 3 5 From performing a hypothesis test to determine if female and male prosecutors differ in their plea bargaining of cases what is the p value?Please help with the following question: for the following hypothesis test: H0: μ = 200 H1: μ ≠ 200 a= 0.01 With n=64, pop standard dev=9, sample mean= 196.5, state •The decision rule in terms of the critical value of the test statistics •The calculated value of the test statistic. •The conclusion.
- The critical region and critical value for a hypothesis test are shown below. The test statistic is Z = -1.7. Should you rejcet or fail to reject the null hypothesis. -2 -1.41 2 1 1.41 -3 3 Reject O Fail to Reject Submit QuestionUse the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach. x= 345, n = 1000, Ho: p= 0.35, Hạ: p > 0.35, a= 0.01 A. z= - 0.33; critical value =2.575; do not reject Ho B. z=0.62; critical value = 2.33; do not reject Ho C. z= 0.62; critical value =2.575; reject Ho D. z= - 0.33; critical value = 2.33; do not reject HoYou are a manufacturing engineer with a machine company. The company buys 55 gallon drums of pentrating lubricant. These drums are expensive. The weight of a drum should be 400 pounds. As a new engineer you have been asked to use your Six Sigma Green Beit to determine if these barrels really weigh 400 pounds. Your company knows statistics and has asked you to use a hypothesis test at the 5% level of significance. You select 9 barreis at random and weigh. You find the average weight of the barrels to be 398 pounds with a standard deviation of 22 pounds. Answer the following Your null hypothesis is equal to what? (no decimals) What is the hypothesis test? (greater than or less than) What is your sample size? (no decimal) What is your sample mean? (no decimal) What is your sample standard deviation? (one decimal) What is your test statistic (T test? two decimais) What is your crntical value? (two decimaln) What is your p-value? (wo decimals) What is your conclusion? (reject or fail to…
