### Holiday Gift Survey Analysis**Background:**Last year, 47% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 41% planned to provide a holiday gift to their employees. The survey results are based on a sample of 55 business owners.---#### a. Calculation of Business Owners Planning to Provide a Holiday GiftHow many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number.**Answer:**- 23 (This is the count of business owners who planned to give gifts based on the given percentage and sample size).---#### b. Hypothesis TestingSuppose the business owners in the sample did as they planned. Conduct a hypothesis test to determine whether the proportion of business owners providing holiday gifts had decreased from last year.**State the hypotheses:**- $ H_0 : p \geq 0.47 $- $ H_a : p < 0.47 $**Compute the test statistic and $ p $-value:**Here, inputs for the test statistic (z-value) and p-value need to be computed:- $ z $-value (to 2 decimals)- $ p $-value (to 4 decimals)---#### c. Conclusion Using a 0.01 Level of Significance:Using a 0.01 level of significance, would you conclude that the proportion of business owners providing gifts has decreased from last year to this year?**Decision and Conclusion:**- **Decision Rule:** Do not reject $ H_0 $. - **Conclusion:** We cannot conclude that the proportion of business owners providing gifts has decreased from last year to this year using a 0.01 level of significance.---#### Additional Analysis:**Question:** What is the smallest level of significance for which you could draw such a conclusion?- Provide this significance level (to 4 decimals).(Note for Students: Calculation details for the above analysis need to be filled in with computed z-values and p-values from your data.)

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Answered: Last year, 47% of business owners gave…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a list of the over 2300 Henry Clay high School is compiled. from that list 250 names are randomly chosen and given a survey to complete. of those surveyed 72% said they intended to attend college after completing high school what would the 250 students surveyed would be an example of?
X 6.3.10 Question Help Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 4, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.)
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Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adults must you survey in order to be 90% confident that your estimate is in error by no more than one percentage point? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n=0 (Round up to the nearest integer.) b. Assume that 18% of all adults gamble online. n= (Round up to the nearest integer.)
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