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A test of the breaking strength of two different types of cables was conducted using samples of n = n2 = 100 pieces of each type of cable. Cable I Cable II *1 = 1,930 x2 = 1,910 S = 39 S2 = 32 Do the data provide sufficient evidence to indicate a difference in the mean breaking strength of the two cables? Use a = 0.05. State the null and alternative hypotheses. Ho: (57 - H2) = 0 versus Ha: (hy - H2) > 0 HO: (H1 - Hy) < 0 versus Ha: (M1 – Hla) > 0 Hoi (My - H₂) = 0 versus H: (4, -H2) <0 Hoi (M-H2) = 0 versus H : ( HH) = 0 O Holly - My) = 0 versus H: (M-1) = 0 Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic Z rejection region Z> ZZ State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate a difference in mean breaking strengths for the two cables. OH, is rejected. There is insufficient evidence to indicate a difference in mean breaking strengths for the two cables. He is not rejected. There is sufficient evidence to indicate a difference in mean breaking strengths for the two cables. He is rejected. There is sufficient evidence to indicate a difference in mean breaking strengths for the two cables. o

A random sample of n = 1,000 observations from a binomial population contained 337 successes. You wish to show that p < 0.35. A USE SALT State the null and alternative hypothesis. O Ho: P = 0.35 versus H : p > 0.35 Ho: P<0.35 versus H : p > 0.35 OH.: + 0.35 versus H 'a: p = 0.35 O Ho: p = = 0.35 versus Ha: p<0.35 Ho: p = 0.35 versus H : D+ 0.35 a Calculate the appropriate test statistic. (Round your answer to two decimal places.) Z = Provide an a = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z> Z < State your conclusion. Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.35. p OHO is rejected. There is insufficient evidence to indicate that p is less than 0.35. Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.35. O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.35.

MY NOTES A random sample of n = 1,400 observations from a binomial population produced x = 538 successes. You wish to show that p differs from 0.4. I USE SALT State the null and alternative hypothesis. Ho: P = 0.4 versus Ha: P = 0.4 Ho: P = 0.4 versus Ha: P = 0.4 Ho: p = 0.4 versus H. H: P < 0.4 Ho: P < 0.4 versus H: P > 0.4 O Ho: P = 0.4 versus H.: P > 0.4 Calculate the appropriate test statistic. (Round your answer to two decimal places.) 고 Provide an a = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Zर State your conclusion. O Ho is rejected. There is sufficient evidence to indicate that p differs from 0.4. Ho is not rejected. There is sufficient evidence to indicate that p differs from 0.4. H. is not rejected. There is insufficient evidence to indicate that p differs from 0.4. O Ho is rejected. There is insufficient evidence to indicate that p differs from 0.4. You may need to use the appropriate appendix tahle torinou