1) Perform a hypothesis test for the following problems Clearly identify the parameters in the hypotheses You dont have to find the confidence intervals, although they are easily obtained using technology A Pew Research Center poll asked randomly selected subjects if they agreed with the statement that It is morally wrong for married people to have an affair Among the 386 women surveyed, 347 agreed with the statement Among the 359 men surveyed, 305 agreed with the statement Use a 0 05 significance level to test the claim that the percentage of women who agree is different from the percentage of men who agree Does there appear to be a difference in the way women and men feel about this issue a)Null hypothesis b)Alternative hypothesis c)Test statistic d)Critical value(s) and region(s) sketch the distribution e)P value f)Conclusion Statewhetheryouareacceptingorrejectingthenull ALSOTOBESURETOADDRESSTHEORIGINALCLAIM QUESTION BEINGWORDYISO K g)Inthisproblem,thesamplesneedtobelargeenoughtouseanormalsamplingdistribution Showtheseconditionsaremet 2)Listed below are amounts of strontioum 90 (in millibecquerels or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from An Unexpected Rise in Strontium 90 in U S Deciduous Teeth in the 1990s, by Mangano et al , Science of the Total Environment , Vol 317) Use a 0 05 significance level to test the claim that the mean amount of strontiuim 90 from Pennsylvania residents is greater than the mean amount from New York residents Assume the variances are not equal Pennsylvania 155 142 149 130 151 163 151 142 156 133 138 161 New York 133 140 142 131 134 129 128 140 140 140 137 143 a)Null hypothesis b)Alternative hypothesis c)Test statistic d)Critical value(s) and region(s) sketch the distribution e)P value f)Conclusion State whether you are accepting or rejecting the null ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM QUESTION BEING WORDY IS O K g)Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error Explain 3)As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self reported heights and measured heights for males aged 12 16 All measurement are in inches Listed below are sample results Subject A B C D E F G H I J Reported Height (x) 67 71 63 70 71 60 65 54 63 66 Measured Height (y) 67 9 69 9 64 9 68 3 70 3 60 6 64 5 67 0 55 6 74 2 Is there sufficient evidence to support the claim that there is a difference between self reported heights and measured heights of males aged 12 16 Use a 0 05 significance level Null hypothesis Alternative hypothesis Test statistic Critical value(s) and region(s) sketch the distribution P value Conclusion State whether you are accepting or rejecting the null ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM QUESTION BEING WORDY IS O K Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error Explain 4) An office furniture manufacturer installed a new adhesive application process and claims that the new process has on average pounds of pressure that is greater than the old process To compare the new process with the old process, random samples were selected from the two processes and pull tests were performed to determine the number of pounds of pressure that were required to pull apart the glued parts (This kind of test is an example of destructive testing ) Let the following be the data collected Pounds of pressure needed for the new process 1250 1210 990 1310 1320 1200 1290 1360 1120 1360 1310 1110 1320 980 950 1430 960 1050 1310 1240 1420 1170 1470 1060 Pounds of pressure needed for the old process 1180 1360 1310 1190 920 1060 1440 1010 1310 980 1310 1030 960 800 1280 1080 930 1050 1010 1310 940 860 1450 1070 At 0 05, is there enough evidence to support the manufacturers claim Assume the population variances are equal Null hypothesis Alternative hypothesis Test statistic Critical value(s) and region(s) sketch the distribution P value Conclusion State whether you are accepting or rejecting the null ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM QUESTION BEING WORDY IS O K Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error Explain

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1) Perform a hypothesis test for the following problems. Clearly identify the parameters in the hypotheses. You dont have to find the confidence intervals, although

1) Perform a hypothesis test for the following problems. Clearly identify the parameters in the hypotheses. You dont have to find the confidence intervals, although they are easily obtained using technology.

A Pew Research Center poll asked randomly selected subjects if they agreed with the statement that It is morally wrong for married people to have an affair. Among the 386 women surveyed, 347 agreed with the statement. Among the 359 men surveyed, 305 agreed with the statement. Use a 0.05 significance level to test the claim that the percentage of women who agree is different from the percentage of men who agree. Does there appear to be a difference in the way women and men feel about this issue?

1. a)Null hypothesis:
2. b)Alternative hypothesis:
3. c)Test statistic:
4. d)Critical value(s) and region(s); sketch the distribution:
5. e)P-value:
6. f)Conclusion:Statewhetheryouareacceptingorrejectingthenull.ALSOTOBESURETOADDRESSTHEORIGINALCLAIM/QUESTION.BEINGWORDYISO.K.
7. g)Inthisproblem,thesamplesneedtobelargeenoughtouseanormalsamplingdistribution.Showtheseconditionsaremet.
2)Listed below are amounts of strontioum-90 (in millibecquerels or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s, by Mangano et al., Science of the Total Environment, Vol. 317). Use a 0.05 significance level to test the claim that the mean amount of strontiuim-90 from Pennsylvania residents is greater than the mean amount from New York residents. Assume the variances are not equal.

Pennsylvania: 155 142 149 130 151 163 151 142 156 133 138 161

New York: 133 140 142 131 134 129 128 140 140 140 137 143

a)Null hypothesis:
b)Alternative hypothesis:
c)Test statistic:
d)Critical value(s) and region(s); sketch the distribution:
e)P-value:
f)Conclusion: State whether you are accepting or rejecting the null. ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM/QUESTION. BEING WORDY IS O.K.
g)Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error? Explain.
3)As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self-reported heights and measured heights for males aged 12-16. All measurement are in inches. Listed below are sample results:

Subject	A	B	C	D	E	F	G	H	I	J
Reported Height (x)	67	71	63	70	71	60	65	54	63	66
Measured Height (y)	67.9	69.9	64.9	68.3	70.3	60.6	64.5	67.0	55.6	74.2

Is there sufficient evidence to support the claim that there is a difference between self-reported heights and measured heights of males aged 12-16? Use a 0.05 significance level.

1. Null hypothesis:
2. Alternative hypothesis:
3. Test statistic:
4. Critical value(s) and region(s); sketch the distribution:
5. P-value:
6. Conclusion: State whether you are accepting or rejecting the null. ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM/QUESTION. BEING WORDY IS O.K.
7. Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error? Explain.

4) An office furniture manufacturer installed a new adhesive application process and claims that the new process has on average pounds of pressure that is greater than the old process. To compare the new process with the old process, random samples were selected from the two processes and pull tests were performed to determine the number of pounds of pressure that were required to pull apart the glued parts. (This kind of test is an example of destructive testing.) Let the following be the data collected:

Pounds of pressure needed for the new process:

1250 1210 990 1310 1320 1200 1290 1360 1120 1360 1310 1110 1320 980 950 1430 960 1050 1310 1240 1420 1170 1470 1060

Pounds of pressure needed for the old process:

1180 1360 1310 1190 920 1060 1440 1010 1310 980 1310 1030 960 800 1280 1080 930 1050 1010 1310 940 860 1450 1070

At = 0.05, is there enough evidence to support the manufacturers claim?

Assume the population variances are equal.

Null hypothesis:
Alternative hypothesis:
Test statistic:
Critical value(s) and region(s); sketch the distribution:
P-value:
Conclusion: State whether you are accepting or rejecting the null. ALSO TO BE SURE TO ADDRESS THE ORIGINAL CLAIM/QUESTION. BEING WORDY IS O.K
Based on whether you failed to reject the null hypothesis or rejected the null hypothesis, what type of error might have been committed, a Type I error or a Type II error? Explain.