Testing: Ho:p = 0.62 Hi :p # 0.62 Your sample consists of 147 subjects, with 84 successes. Calculate the test statistic, rounded to 2 decimal places 2You are conducting a study.r to see if the proportion of men over 5|] who regularly.r have their prostate examined is significantly different from 0.39. Thus you are performing a two-tailed test. Your sample data produce the test statistic : = 3.235. Find the p-value accurate to 4 decimal places. p-value = You wish to test the following claim {Ha} at a significance level of or = 0.001. H0233 = 0.85 Hag:- % 0.85 You obtain a sample of size n = 707 in which there are 57'3 successful observations. 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 = A: I I What is the test statistic for this sample? [Report answer accurate to three decimal places} test statistic =| | The test statistic is... "3' in the critical region If; not in the critical region This test statistic leads to a decision to... 53' reject the null '1'; accept the null 53' fail to reject the null As such, the final conclusion is that... "3' There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. ".3 There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. 53' The sample data support the claim that the population proportion is not equal to 0.35. '1'; There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.35. You Wish to test the following claim {H9} at a significance level of o: = 0.002. H0313 = 0.75 III :p 0.?5 You obtain a sample of size n. = 732 in which there are 534 successful obser-rations. 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.j p-ualue = l l The ps'alue is... ":1 less than [or equal to] CE '1'} greater than or This test statistic leads to a decision to... 53' reject the null ":1 accept the null '1': fail to reject the null As such, the final conclusion is that... 53' There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.?5. '1': There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.?5. 53' The sample data support the claim that the population proportion is greater than 0.?5. ":3 There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.?5. Many investors and financial analysts believe the Dow Jones Industrial Average [DJIAJ 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, Februaly 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. Asample of 58 stocks traded on the NYSE that day showed that 14 went up. You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of ct = 0.02. What is the test statistic for this sample? [Report answer accurate to three decimal places} test statistic =| | What is the pvalue for this sample? [Report answer accurate to four decimal places.) p-value = l l The p-value is... '1': less than [or equal to] ct 113' greater than ctr This test statistic leads to a decision to... ".7 reject the null Ci accept the null ".7 fail to reject the null As such, the final conclusion is that... ". .3 "here is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is less than 0.3. U "here is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is less than 0.3. ". .3 "he sample data support the claim that the proportion of stocks that went up is less than 0.3. ". .i "here is not sufficient sample evidence to support the claim that the proportion of stocks that went up is less than 0.3. Test the claim that the proportion of people who own dogs is less than 30%. A random sample of 1000 people found that 26.1% owned dogs. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer v ? v Hy: Select an answer v ? v Based on the hypotheses, find the following: b. Test Statistic = C. p-value = d. Based on the above we choose to Select an answer v e. The correct summary would be: Select an answer that the proportion of people who own dogs is less than 30%.You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.35. A random sample of 747 men over the age of 50 found that 206 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer v ? v Hy: Select an answer v ? v Based on the hypotheses, find the following: b. Test Statistic = c. Critical-value= d. Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the z-score(s). Shade: Left of a value v. Click and drag the arrows to adjust the values. - 2 2 -1.5 e. The correct decision is to Select an answer v f. The correct summary would be: Select an answer that the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.35