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- Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. (a) How many business owners in the survey plan to provide a holiday gift to their employees this year? business owners (b) Suppose the business owners in the sample did as they plan. Compute the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? O Do not reject Ho. There is sufficient evidence to conclude that the proportion of business owners providing…The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected seven outlets and sold the MP3 player at the reduced price. At another seven randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the reduced and regular prices at the randomly selected outlets. Number of units sold at Reduced price 138 137 125 131 137 131 130 Number of units sold at Regular price 135 135 120 130 130 135 120 At the .01 significance level, can the manufacturer conclude that average number of units sold at reduced price is more than average number of units sold at regular price? a. What are the null and alternate hypotheses? (Choose 1, 2, or 3.) 1. H0: μReduced ≤ μRegular H1: μReduced > μRegular 2. H0: μReduced > μRegular H1: μReduced ≤ μRegular 3 H0: μReduced ≤…Last year, 54% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 40% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. (a) How many business owners in the survey plan to provide a holiday gift to their employees this year? business owners (b) Suppose the business owners in the sample did as they plan. Compute the p-value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Reject Ho. There is insufficient evidence to conclude that the proportion of business owners providing holiday…
- In a sales pitch TriCon, a strategic security company, claims they have been able to decrease the sales lost to theft in their previous clients by any average of 3%. A sample of quarterly lost sales reports of other companies before and after hiring TriCon is provided below (also available for download here Sales.xlsx). Given σBEFORE = 1.89 and σAFTER = 2.23, at a 1% level of significance can you conclude that, for other companies, hiring TriCon has lead to a reduction in lost sales? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Quarterly lost sales ($1,000s) Before TriCon Plan After TriCon Plan 4.9 4.43 7.06 4.95 5.75 6.13 6.85 3.14 7.46 3.89 7.11 4.41 6.13 3.38 4.67 4.79 7.5 4.9 4.52 5.91 5.91 3.61 7.4 6.22 5.43 3.74 4.83 5.94 7.55 5.73 7.11 6.73 7.33 4.3 4.35 5.24 5.38 4.07 6.07 6.65 6.63 3.95 5.85 6.88 7.3 5.36 7.83 a) Properly state the mathematical hypotheses: b) p-value: c) Conclusion:Determine the heteroscedasticity in a scatter plot?Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 400 voters finds that 208 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? Based on your result, comment on the dangers of using exit polling to call elections. 5: 5 on (7: StatC Comment on the dangers of using exit polling to call elections. Choose the correct answer below. O A. The result is not unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if exit polling alone is considered. O B. The result is unusual because the probability that p is equal to or more extreme than the sample proportion is less than…
- Many states have attempted to reduce the blood alcohol level at which a driver is declared to be legally drunk. There has been resistance to this change in the law by certain business groups who have argued that the current limit is adequate. A study was conducted to demonstrate the effect on the reaction time of a blood-alcohol level of .1%, the current limit in many states. A random sample of 25 persons of legal driving age had their reaction time recorded in a standard laboratory test procedure before and after drinking a sufficient amount of alcohol to raise their blood alcohol to a .1% level. The difference (After − Before) in their reaction times in seconds was recorded as follows: 0.01 0.02 0.04 0.05 0.07 0.09 0.11 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.31 0.31 0.32 0.33 0.35 0.36 0.38 0.39 0 .39 0.40 Graph the data and assess whether the population has a normal distribution. Is there…A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At a = 0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. %3D Ta·マー TaPー D. Ho pS E. Ho: p2 O F. Ho:p# Haip> Ha:p< Haip= W (b) Use technology to find the P-value. Identify the standardized test statistic. Z= (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ?Many states have attempted to reduce the blood-alcohol level at which a driver is declared to be legally drunk. There has been resistance to this change in the law by certain business groups who have argued that the current limit is adequate. A study was conducted to demonstrate the effect on reaction time of a blood-alcohol level of .1%, the current limit in many states. A random sample of 25 persons of legal driving age had their reaction time recorded in a standard laboratory test procedure before and after drinking a sufficient amount of alcohol to raise their blood alcohol to a .1% level. The difference (After − Before) in their reaction times in seconds was provided in data 2. Graph the data and assess whether the population has a normal distribution. Is there sufficient evidence that a blood-alcohol level of .1% causes any increase in the mean reaction time?