A significance test is going to be performed using a significance level of a = 0.05. Suppose that the null hypothesis is actually false. If the significance level was lowered to a = 0.01, which of the following would be true? %3D
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- A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair using 5% significant level. The data in the following table are the result of the 120 rolls. Face Value Frequency Expected Frequency 1 15 2 29 3 16 4 15 5 30 6 15 What are the null and alternate hypotheses?URGENT PLEASE ANSWER ASAP A researcher tested 300 independent null hypotheses using a significance level of α= 0.05 for each test. What significance level should the researcher have used for each test if they wanted the overall probability of making a type I error to be 5%?The test statistic of z=2.40 is obtained when testing the claim that p>0.7. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0?
- A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimete on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that th differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before After 4.8 6.3 2.4 2.6Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level. The sample consisted of 55 night students, with a sample mean GPA of 2.87 and a standard deviation of 0.04, and 59 day students, with a sample mean GPA of 2.30 and a standard deviation of 0.03. Use correct notation for all answers below. a.) The null and alternative hypothesis would be: b.) The p-value is: c.) State your conclusion. d.) Interpret your conclusion specific to this situation.You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.61. You use a significance level of a = 0.005. Ho:p = 0.61 H1:p > 0.61 You obtain a sample of size n = 572 in which there are 371 successes. 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? (Report answer accurate to four decimal places.) p-value = The p-value is. less than (or equal to) a greater than a This test statistic leads to a decision to.. reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.61. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.61. O The sample data support the claim that the probability of catching…Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.01 significance level.The null and alternative hypothesis would be: Based on a sample of 80 people, the sample mean GPA was 2.77 with a standard deviation of 0.02The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before-after" differences. Does hypnotism appear to be effective in reducing pain? Before After 6.3 6.8 2.4 7.3 11.8 8.3 7.5 3.4 5.4 2.3 7.9 8.6 8.1 6.3 3.3 2.7 Construct a 95% confidence interval for the mean of the "before-after" differences. -0.40More evidence against H0 is indicated by smaller p-values. smaller critical values. lower levels of significance. lower probabilities for the power of the test.Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significance level. The null and alternative hypotheses would be: Ho p=0.625 Hop=2.5 Ho: p=0.625 Ho: : H₁: p > 0.625 The test is: right-tailed left-tailed two-tailed о :p = 0.625 Hoμ = 2.5 H₁ μ = 2.5 o H₁:μ> 2.5 H₁: p < 0.625 H₁: p0.625 H₁: μ2.5 H₁: μ< 2.5 Based on a sample of 35 people, the sample mean GPA was 2.47 with a standard deviation of 0.06 The p-value is: -1.645 The positive significance level is: .10 Based on this we: OTT Reject the null hypothesis Fail to reject the null hypothesis X (to 3 decimals) o(to 2 decimals)The test statistic of z = 0.54 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho?A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before After 5.0 6.8 6.3 2.5SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON