Week 7 Hypothesis Testing Q & A

Week 7 Hypothesis Testing Q & A1. Steve listens to his favorite streaming music service when he works out. He wonders whether the service algorithm does a good job of finding random songs that he will like more often than not. To test this, he listens to 50 songs chosen by the service at random and finds that he likes 32 of them. Use Excel to test whether Steve will like a randomly selected song more than not and then draw a conclusion in the context of a problem. Use = 0.05. Typeequationhere.Ho: p = 0.5 (50%) p = 0.5Ha: p = > 0.5 (strictly )P-value = 0.02 which is < = 0.05 we reject Ho and support the Ha Hypothesis Test for p population proportionLevel of Significance 0.05 (decimal)Proportion under H0 0.5000 (decimal)n 50Number ofSuccesses 32Sample Proportion 0.640000StDev 0.500000SE 0.070711Test Statistic (z) 1.979899One-Sided p-value 0.023852Two-Sided p-value 0.047704Right-Tailed (>) 1.644854Left-Tailed () 1.644854Left-Tailed () 1.644854Left-Tailed (0.65Find the p-value for this hypothesis test for a proportion & round to 3 decimal places. Hypothesis Test for p population proportionLevel of Significance 0.05Proportion under H0 0.6500n 750Number ofSuccesses 513Sample Proportion 0.684000StDev 0.476970SE 0.017416Test Statistic (z) 1.952175One-Sided p-value 0.025588Two-Sided p-value 0.051176Answer: 0.0267. Colton makes the