ne sample proportion hypothesis test: atcomes in: Black Friday Shopping ccess : 357 Proportion of successes · :p= 0.69 :p#0.69 vpothesis test results: Variable Count Total Sample Prop. Std. Err. Z-Stat P-value Black Friday Shopping 550 0.019720778| -34.988477| <0.0001
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What if a significance level of 0.01 was used instead? Would your decision and conclusion change? State the decision and conclusion based on this new significance level in two complete sentences.
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- What is meant by the sample space of an experiment?The manufacturer of a new hybrid sports utility vehicle (SUV) states that, on average. it gets at least 4 miles per gallon (mpg) when driving on the highway. A consumer group disagrees with the manufacturer's statement. Since gas prices are rising, you want to get a car that averages 48mpg or more on the highway. 13 of the new SUVs are randomly tested under similar highway conditions with results shown below. Test the consumer group's claim at the a - .05 level of significance 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50 a) Use symbols to write the hypotheses statements, briefly describe the meaning in words, and identifythe claim being tested: Ho meaning: Ha meaning: Which one is the claim? b) Calculate all relevant descriptive statistics in this case (the mean or proportion, standard deviation, ect. c What type of hypothesis test will you perform to test the consumer group's claim? Explain how you decided. d) Perform the hypothesis test (show work)The anime club at IVC conducts a survey to determine if people prefer watching anime series with voice dubbing or subtitles. The data is listed in the table below. Is there compelling statistical evidence to support the claim that students prefer dubbing over subtitles (first group rate higher than second group rate)?Test and CI for Two Proportions Sample X N Sample p Voice Dubbing 38 85 0.447 Subtitles 23 90 0.256 Null Hypothesis, H0 Alternative Hypothesis, H1 Pooled Proportion (p-bar) Test Statistic, z P-value Significance level Conclusion
- The U.S. Federal Bureau of Investigation compiles data on crimes and crime rates. A violent crime is classified as Murder, Forcible Rape, Robbery, and Aggravated Assault. Relative Frequency distribution for Violent crimes in 2010 Murder. 1.1% Forcible Rape 6.3% Robbery 28.6% Aggravated Assault. 64% To compare the distribution of crimes between the year 2010 and 2020, a sample of 500 violent crimes were randomly selected: Murder 3 Forcible Rape 37 Robbery 154 Aggravated Assault. 306 Perform a hypothesis test at the 5% significance level to determine if the distribution of violent crimes in 2020 has changed from the distribution in 2010. 1) State null and alternative hypothesis 2) Find Test Statistics 3) Find the p-value 4) ConclusionIndependent samples of the opinions of registered Republican and Democratic party memberswas taken concerning the weakening of the Endangered Species Act (ESA). The results are listedin the table below.Party Affiliation For Weakening ESA Against Weakening ESARepublican 38 62Democrat 26 74Let p1 denote the proportion of Republicans who are in favor of weakening the EndangeredSpecies Act and p2 denote the proportion of Democrats who are in favor of weakening theEndangered Species Act.(1) Give point estimates of p1, p2, and p1 - p2.(2) Suppose the estimated standard error of the point estimate of p1 - p2 from its bootstrapdistribution is 0.07. Compute a 95% confidence interval for p1 - p2 and interpret theconfidence interval. What is your conclusion based on confidence interval?