Q20. A popular app, Zolo, has come on the market for streaming pet-friendly music while others in the household are away from home for work or errands. Every month, the app attracts 20% of non-subscribing households; in other words, these households decide to subscribe. Meanwhile, 40% of already subscribing households decide to unsubscribe each month. Suppose 20% of households are current subscribers. Using the probabilities and states as described, what percentage of households will likely be subscribers two months from now? (Enter numerical value only. Do not enter % sign. Round the percentage to 1 decimal place, or to the nearest tenth of a percent.)

After post-graduate study, Mike found a job as HR analyst in London. Thecompany is currently recruiting Chief Marketing Officer. The HR departmentrecently sent out a knowledge test to the applicants after the initial CVscreening. At this stage of selection, the company does not invite the lowestscoring 30% (the opposite is the highest 70%.) back for the next face-to-faceinterview. According to the historical data, the test scores on this test arenormally distributed and has a mean of 70 with standard deviation of 10. a.What mark (to the nearest whole number) must a candidate achieve inorder to secure an interview? Show your workings.b. Explain the characteristics of standard normal distribution and normaldistribution, respectively.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 12 went up. You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of a = 0.005. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O…