3 h0 pmptpwpthpfpsapsu claim ha at least one day has

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3. H0: Pm=Pt=Pw=Pth=Pf=Psa=Psu (claim) HA: At least one day has a different probability

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The expected values from Statcato are all greater than five. The data was randomly selected so it meets all the assumptions for a goodness of fit test. The test statistic was chi squared = 7.5478 and the p-value was 0.2731. Since the Pvalue was greater than the sig level of 0.01, we fail to reject the null. There is not sufficient sample evidence to reject the claim that the probability of dying in a car accident is the same on each day of the week. 4. H0: p1 = 0.57 , p2 = 0.31 , p3 = 0.03 , p4 = 0.06 , p5 = 0.03 Ha: at least one is not equal (claim) Expected Values are 1178.76 , 641.08 , 62.04 , 124.08 , 62.04 Degrees of freedom = 4 Test Statistic = 121.3667 P-value = 0 There is strong sample evidence to support the claim that the distribution does not match the NHTSA. The largest discrepancy was in deaths by head injury. We expected 641 deaths , but the actual sample data was 864. It is important to wear a helmet. Hypothesis Test Act 14 answers 3. b) P(business / male) = 112/357 = 0.314 P(business / female) = 89/335 = 0.266 Guess that gender and major are probably related (dependent) Hypothesis Test Act 15 answers 5. Ho: Distributions are same Ha: Distributions are different (claim) less than 3 3-5 months over 5 months Total Intended 593 (574.15) (0.62) 26 (36.14) (2.85) 33 (41.71) (1.82) 652 unintended 64 (73.09) (1.13) 8 (4.6) (2.51) 11 (5.31) (6.1) 83
mistimed 169 (178.76) (0.53) 18 (11.25) (4.04) 16 (12.99) (0.7) 203 Total 826 52 60 938 Chi-Square test: Statistic DF Value P-value Chi-square 4 20.301606 0.0004 Assumptions: Random. Expected value = 574, 36, 41.7, 73.1, 4.6 , 5.31 , 178.8 , 11.25 , 12.99 . We did have one expected value that fell below 5. Meaning the data is not large enough to handle this test. Chi-squared test stat = 20.3 (significant) P-value = 0.0004 (unlikely to happen by random chance) Sentence: If the Ho is true (distributions are same) then there was a 0.0004 chance of getting the sample data or more extreme. Pvalue < sig level 0.05 Reject Ho If this data had satisfied the assumptions then the conclusion would have been “there is significant sample evidence to support the claim that the distributions are different between the groups.” However this problem did not meet assumptions. Specifically the data set was too small. Hypothesis Test Activity 16 Answers 1. Ho: Mu1 = mu2 = mu3 Ha: at least one is not equal (CLAIM) F test stat = 5.627 Significant??? Original Data F value was in tail and looked significantly different than most of simulated dots. Pvalue = 0.013 was very small. Very unlikely that the groups could be the same and F probably did not happen by random chance.

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Pvalue < sig level 5% Reject Ho There is significant sample evidence to support the claim that the average amount of ants will be different depending on the type of sandwich. 2. Ho: Mu1 = mu2 = mu3 (CLAIM) Ha: at least one is not equal F test stat = 7.104 Significant??? Original Data F value was in tail and looked significantly different than most of simulated dots. Pvalue = 0.00067 was very small. Very unlikely that the groups could be the same and F probably did not happen by random chance.
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