A company knows from past experience that 50% of its employees have chosen to participate in a voluntary pre-tax savings plan. The company makes some changes to the plan and conducts a telephone survey of 100 randomly selected employees to ask if they will still participate in the plan with the new changes. 43 out of the 100 employees surveyed say that they will participate in the plan. The company wants to test the null hypothesis that the percentage of employees who will participate in the plan is unchanged from past years (50% of employees). (a) Carry out all the steps of the z test to evaluate the whether the percentage of employees who will participate in the plan is unchanged from past years. You should show the null and alternative

A company knows from past experience that 50% of its employees have chosen to participate in a voluntary pre-tax savings plan. The company makes some changes to the plan and conducts a telephone survey of 100 randomly selected employees to ask if they will still participate in the plan with the new changes. 43 out of the 100 employees surveyed say that they will participate in the plan. The company wants to test the null hypothesis that the percentage of employees who will participate in the plan is unchanged from past years (50% of employees). (a) Carry out all the steps of the z test to evaluate the whether the percentage of employees who will participate in the plan is unchanged from past years. You should show the null and alternative

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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In a staff meeting called to address the problem of returned cheques at the supermarkets where you areinterning as a financial analyst, the bank reports that 12 percent of all cheques are returned for insufficientfunds, and of those, in those 50 percent of cases, there was cash given back to the customer. overall ,10percent of customers ask for cash back at the end of their transaction with the store. For 1,000 customervisits, how many transactions will involve: (f) insufficient funds?(g) Cash back to the customer?(h) Both insufficient funds and cashback?(i) Either insufficient funds or cash back?
If the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A?
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1079 in 2018. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention. : is greater than or equal to 1,079 : is less than 1,079 b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on prior experience a population standard deviation of =1600 may be assumed. What is the -value (to 4 decimals)?
7. Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least OMR 11000. You plan on taking a sample to test her claim. The correct set of hypotheses is
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $ 1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15) (a.) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention. (b.) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $ 910. Based on prior experience a population standard deviation of ! = $ 1600 may be assumed. What is the p-value? (c.) At ↵ = 0. 05, what is your conclusion? (d.) Repeat the preceding hypothesis test using the critical value approach.
An article in a 2006 issue of Journal of Behavioral Decision Making reported on a study involving 47 undergraduate students in a class at Harvard. All of the participants were given $50, but some (randomly assigned) were told that this was a "tuition rebate", while the others were told that this was "bonus income". After one week, the students were contacted again and asked how much of the $50 they had spent and how much they had saved. Those in the "rebate" group had spent an average of $22.04 while those in the "bonus" group had spent an average of $9.55." (a) Did this study make use of random sampling, random assignment, both, or neither? Explain. (b) If the difference in average spending amounts between the two groups is determined to be statistically significant, would it be appropriate to draw a cause-and-effect conclusion in this case? Explain. (c) If the difference in average spending amounts between the two groups is determined to be statistically significant, would it be…
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. Test the researcher's assertion using the critical value approach. Use α = 0.05 (Please include all the 7 steps in hypothesis testing) Steps in hypothesis testing p-value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Calculate the test statistic Use the value of the…
4. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.