A friend tells you that she has conducted a survey to find the proportion of people in her university that utilize
A friend tells you that she has conducted a survey to find the proportion of people in her university that utilize
the campus internet cafe at least once a day. She has collected a sample and calculated a sample proportion of p = 0.66. She uses this value to calculate a confidence interval for the population proportion. Your friend says that she is not going to tell you the sample size or the level of confidence used in her construction, but she does tell you that the upper bound for the interval is 0.81.
From the following list, select the values that, based on the information given, could possibly be the lower bound of the confidence interval your friend calculated:
| 0.66 |
| 0.51 |
| 0.56 |
| 0.61 |
| 0.46 |
A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 163 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.70.
The student decides to construct a 95% confidence interval for the population proportion. You may find this standard normal table useful for the following questions.
a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 3 decimal places.
Margin of error =
A different high school student sees this survey and decides to try and repeat it. This second high school student also surveys 163 mortgage holders, but this student finds that the proportion of these that do expect to own their house within 10 years is 0.85. This student also constructs a 95% confidence interval for the population proportion.
b)Calculate the margin of error that the second student will have. Give your answer as a decimal to 3 decimal places.
Margin of error =
A survey of 116 small business owners found that a proportion of 0.716 of the owners had decided to downsize in the year following the Global Financial Crisis (GFC).
a)Calculate the number of surveyed small business owners that downsized. Give your answer to the nearest whole number.
Number of owners that downsized =
A 95% confidence interval is to be constructed for the proportion of all small business owners that decide to downsize after the GFC. You may find this standard normal table useful for the following questions.
b)Calculate the lower bound for the confidence interval. Give your answer as a decimal to 3 decimal places.
Lower bound for confidence interval =
c)Calculate the upper bound for the confidence interval. Give your answer as a decimal to 3 decimal places.
Upper bound for confidence interval =
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