1.
A research group conducted an extensive survey of 2896 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1517 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.)
lower limit = _______
upper limit = _______
2.
A research group conducted an extensive survey of 3019 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1603 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed it we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 3.0% of the population percentage? (Mint: Use P+ 0.53 as a preliminary estimate. Round your answer up to the nearest whole number.)
_______ workers
1)
sample success x = | 1517 | |
sample size n= | 2896 | |
pt estiamte p̂ =x/n= | 0.5238 |
for 90 % CI value of z= | 1.645 | from excel:normsinv((1+0.9)/2) |
margin of error E=z*std error = | 0.0153 | |
lower bound=p̂ -E = | 0.509 | |
Upper bound=p̂ +E = | 0.539 |
2)
here margin of error E = | 0.030 | |
for95% CI crtiical Z = | 1.960 | from excel:normsinv((1+0.95)/2) |
estimated prop.=p= | 0.530 | |
sample size n= p*(1-p)*(z/E)2= | 1064 | (rounding up) |
A research group conducted an extensive survey of 2896 wage and salaried workers on issues ranging
A research group conducted an extensive survey of 3156 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1497 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find...
A research group conducted an extensive survey of 2949 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1598 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find...
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A research group conducted an extensive survey of 2948 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1541 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find...
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A research group conducted an extensive survey of 2995 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1583 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find...
A research group conducted an extensive survey of 3146 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1540 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find...
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A research group conducted an extensive survey of 3186 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1641 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How...