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Chapter 8: Q.1.1 (page 487)

In each of the following settings, check whether the conditions for calculating a confidence interval for the population proportion p are met.

1. An AP Statistics class at a large high school conducts a survey. They ask the first 100 students to arrive at school one morning whether or not they slept at least 8 hours the night before. Only 17 students say "Yes."

2. A quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, 3 had too much salt.

Short Answer

Expert verified

No, the condition of the random sample is not satisfied.

Step by step solution

01

Given Information

Number of success (x)=17

Number of trials (n)=100

02

Explanation

The sample was picked based on the school's convenience for children who arrive early, and using the basic random sampling technique is one of the conditions for generating the confidence interval for population percentage. As a result, in this circumstance, the criteria of a simple random sample is not met.

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Most popular questions from this chapter

In preparing to construct a one-samplet interval for a population mean, suppose we are not sure if the population distribution is Normal. In which of the following circumstances would we not be safe constructing the interval based on an SRS of size 24from the population?

(a) A stem plot of the data is roughly bell-shaped.

(b) A histogram of the data shows slight skewness.

(c) A stem plot of the data has a large outlier.

(d) The sample standard deviation is large.

(c) The tprocedures are robust, so it is always safe.

Refer to Exercise 12. As Gallup indicates, the 3percentage point margin of error for this poll includes only sampling variability (what they call “sampling error”). What other potential sources of error (Gallup calls these “non-sampling errors”) could affect the accuracy of the59% estimate?

Define the parameter of interest.

Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion pof all registered voters in the city who plan to vote for Chavez with 95% confidence and a margin of error no greater than 0.03. How large a random sample do we need? Show your work.

Interpret your interval in context.
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