You are conducting a study to see if the proportion of men over the age of 50 who regularly have theirprostate examined is significantly less than 0.39. A random sample of 787 men over the age of 50 foundthat 200 have their prostate regularly examined. Do the sample data provide convincing evidence tosupport the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4decimal places.a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)Ho: pH₁: pBased on the hypotheses, find the following:b. Test Statistic = -7.8166 Xc. Critical-value= -2.3263Shade: [Left of a value-2.3d. 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 (thesevalues correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade tothe left, to the right, between or left and right of the z-score(s).-10.390.390Click and drag the arrows to adjust the values.OB1e. The correct decision is to Reject the null hypothesis23o that thef. The correct summary would be: There is enough evidence to support the claimproportion of men over the age of 50 who regularly have their prostate examined is significantly less than0.39.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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☐True ☐FalseThe null hypothesis in a paired-samples t-test is H0: ???????????=0.
Consider a sample of 50 football games, where 27 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one-half. Ho: p=0.5 H1: p>0.5 Identify the test statistic for this hypothesis test. (Round to two decimal places as needed.
Determine the test statistic
A headline read, "More Than Half of Americans Say Federal Taxes Too High." The headline was based on a random sample of 1023 adult Americans in which 534 stated the amount of federal tax they have to pay is too high. Is this an accurate headline? Assume the a =0.01 level of significance. Identify the null and alternative hypotheses for this test. O A. Ho: p>0.50 H1: p= 0.50 ОВ. Но: р%3 0.50 Ос. Но р#0.50 H1: p> 0.50 H,: p= 0.50 O F. Ho: p<0.50 H,: p = 0.50 O D. Ho: p= 0.50 O E. Ho: p = 0.50 H,: p<0.50 H,: p#0.50 Find the test statistic for this hypothesis test. E (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) tate the usion hypothesis V Ho. There V sufficient evidence at the a = 0.01 level of significance to conclude that V of Americans say that federal taxes are too high.
O Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses. the original claim. Among 2178 passenger cars in a particular region, 244 had only rear license plates. Among 356 commercial trucks, 48 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. OD. Fail to reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. b. Identify the confidence interval limits for the appropriate confidence interval. Let population 1 correspond to…
Only 20% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 317 randomly selected registered voters surveyed, 54 of them will vote in the upcoming election. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H: ? vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 20% at a = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be…
lume Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic, Do the results suggest that all of the child booster seats meet the specified requirement? 712 660 1192 616 588 534 O What are the hypotheses?
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State the hypotheses and identify the claim. Compute the test statistic Find the P-value. Make the decision. Write the conclusion. Assume all populations are normally distributed. Test all claims at 0.05. 7. In a random sample of 1020 U.S adults in a recent year, 459 approve of the job the Supreme Court is doing. In another random sample 1510 U.S. adults taken 3 years prior, 694 approved of the job the Supreme Court is doing. Can you support the claim that the proportion of U.S. adults who approve of the job the Supreme Court is doing is less than it was 3 years prior?
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