Basic Methods of Testing Quiz - Statistics B U3L2

A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser's claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

0.0001

While testing gas pumps for accuracy across the state, the research team found that out of 6985 pumps, 1299 were inaccurate. Use a normal distribution and a known test statistic of z = -2.93. The claim is that less than 20% of the gas pumps across the state are inaccurate. Use a 0.01 significance level. Find the P-value.

0.0017

In a survey of senior executives, 47.3% said that the most common job interview mistake is to have little or no knowledge of the company. The claim is that in the population of all senior executives, 50% say that the most common job interview mistake is to have little or no knowledge of the company. Assuming a 0.01 significance level and a test statistic of z = 2.98, find the P-value.

0.0028

In a survey of randomly selected workers, 61% got their jobs through networking. Use the sample data with a 0.05 significance level to test the claim that most (more than 50%) workers get their jobs through networking. Given a P-value of 0.0026, state the initial and final conclusion on the claim.

Reject the null hypothesis; there is sufficient evidence to support the claim that most workers get their jobs through networking.

Adults were randomly selected for a poll and asked if they favored or opposed federal tax dollars being used for foreign aid. Of the 882 polled, 415 were opposed. A politician claims that more than 50% of adults are opposed to federal tax dollars being used for foreign aid. Use a 0.01 significance level to test the claim. State the final conclusion.

There is not sufficient evidence to support the claim that more than 50% of adults are opposed to federal tax dollars being used for foreign aid.

Among 1501 respondents to a survey, 20% said that there is no solid evidence to support global warming. Use a 0.01 significance level to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. State the final conclusion.

There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.

A company that created a basic knowledge exam claims that more than 70% of adults should pass the test. In a recent study, 584 out of 875 people were able to pass the test. Find a test statistic for the proposition.

z = -2.10

In a recent taste test, 1017 out of 1250 people could not tell the difference between a popular soda's original flavor and the new calorie-free flavor. The company claims that more than 80% of people cannot tell the difference. Find a test statistic for the proportion.

z = 1.20

In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won. The claim is that among voters, the percentage who believe that they voted for the winning candidate is equal to 43%. Find a test statistic for the proportion.

z = 3.70

Clinical trials involved treating flu symptoms with a new medicine. Among 724 patients treated with the medicine, 72 experienced a side effect of nausea. The claim is that the rate of nausea is greater than the 6% rate experienced by flu patients given a placebo. Find a test statistic of the proportion.

z = 4.47