You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho : p = 0.27 Ha : p 0.6 H1 : p> 0.6 H1 : u # 0.6 H1 :p 0.2 You obtain a sample of size n = 659 in which there are 163 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming H. is true) the probability of observing... at most 163 successful observations O at least 163 successful observations What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) o O greater than o This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that.. There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.2. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.2. The sample data support the claim that the population proportion is greater than 0.2. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.2.You wish to test the following claim (H.) at a significance level of a = 0.02. Ho : P1 = P2 Ha : pi # p2 You obtain 57.1% successes in a sample of size nj = 770 from the first population. You obtain 50.1% successes in a sample of size n2 = 704 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data support the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.You wish to test the following claim (H.) at a significance level of a = 0.02. Ho : P1 = P2 Ha : pi # p2 You obtain 57.1% successes in a sample of size nj = 770 from the first population. You obtain 50.1% successes in a sample of size n2 = 704 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data support the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.You wish to test the following claim (H.) at a significance level of o = 0.02. Ho : P1 = P2 Ha : Pi > P2 You obtain 204 successes in a sample of size n1 = 459 from the first population. You obtain 77 successes in a sample of size n2 = 224 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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) o greater than o This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. The sample data support the claim that the first population proportion is greater than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.Given p =0.4 and N = 35 for the high income group, Test the claim that the proportion of children in the high income group that drew the nickel too large is smaller than 50%. Test at the 0.1 significance level. a) Identify the correct alternative hypothesis: Ou > .50 Op > .50 Ou = .50 Op <.50 op=".50" ou give all answers correct to decimal places. b the test statistic value is: c using p-value method d based on this we o reject ho fail e which means there is not sufficient evidence warrant rejection of claim support sample data supports claimou wish following at a significance level : p="0.49" ha> 0.49 You obtain a sample of size n = 508 in which there are 255 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming H. is true) the probability of observing... at most 255 successful observations O at least 255 successful observations Use a calculator. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) o O greater than o This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.49. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.49. The sample data support the claim that the population proportion is greater than 0.49. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.49.Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 52 stocks traded on the NYSE that day showed that 18 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of o = 0.10. 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... O less than (or equal to) o greater than o This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3 There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3 The sample data support the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3