Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LAUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.
Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LAUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.
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Transcribed Image Text:Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their
theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the
theoretical point, the production process will have to be modified.
LUSE SALT
(a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round
your answer to four decimal places.)
P-value = 0.1060
What would you advise the company to do?
Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will
have to be modified.
Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have
to be modified.
Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears
necessary.
Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears
necessary.
(b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield
distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the
process is necessary? (Round your answer to four decimal places.)
0.0068
x
You may have found the complement of the desired probability.
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