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Exam 9: Hypothesis Tests About the Mean and Proportion

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Question 41

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When is unknown and the sample size is larger than 76,use:

A) a t test.
B) a test for proportions.
C) a z test.
D) cannot perform a test.

E) None of the above
F) A) and C)

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Question 42

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The p-value is the:

A) largest significance level at which the null hypothesis can be rejected
B) largest significance level at which the alternative hypothesis can be rejected
C) smallest significance level at which the null hypothesis can be rejected
D) smallest significance level at which the alternative hypothesis can be rejected

E) All of the above
F) B) and C)

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Question 43

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In a two-tailed hypothesis test,the two critical points are the points that divide the area under the sampling distribution of a:

In a hypothesis test with hypotheses and ,a random sample of 61 elements selected from the population produced a mean of 90.7.Assuming that 29.8,what is the approximate p-value for this test? (round your answer to four decimal places)

A researcher wants to test if elementary school children spend less than 30 minutes per day on homework.The alternative hypothesis for this example will be that the population mean is:

Use the following to answer questions : A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000.A random sample of 53 lawyers selected from the city reveals a mean annual salary of $114,000.Assume that $17,000,and that the test is to be made at the 1% significance level. -What is the p-value for this hypothesis test,rounded to four decimal places?

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Use the following to answer questions : A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework.A random sample of 64 children from the school shows that they spend an average of 24.5 minutes per day on homework.Assume that 15.3 minutes,and that the test is to be made at the 1% significance level. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 809 produced a sample proportion of 0.2400.The test is to be made at the 5% significance level. -What is the p-value for this hypothesis test,rounded to four decimal places?

Use the following to answer questions : A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000.A random sample of 53 lawyers selected from the city reveals a mean annual salary of $114,000.Assume that $17,000,and that the test is to be made at the 1% significance level. -What are the critical values of z?

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 809 produced a sample proportion of 0.2400.The test is to be made at the 5% significance level. -What are the critical values of z?

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 1,165 produced a sample proportion of 0.6160.The test is to be made at the 2.5% significance level. -What is the p-value for this hypothesis test,rounded to four decimal places?

In a hypothesis test with hypotheses and ,a random sample of 37 elements selected from the population produced a mean of 62.5.Assuming that 5.2 and the population is normally distributed,what is the approximate p-value for this test? (round your answer to four decimal places)

Use the following to answer questions : In a hypothesis test with hypotheses H₀ : μ=90 and H₁ : μ ≠ 90 , a random sample of 103 elements selected from the population produced a mean of 94.3. Assume that σ = 22.1, and that the test is to be made at the 5% significance level. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

In a right-tailed hypothesis test,the sign in the alternative hypothesis is:

Use the following to answer questions : Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 46.3 pounds was collected, with a standard deviation of 9.2 pounds. The significance level is 2%. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed. -Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 1,165 produced a sample proportion of 0.6160.The test is to be made at the 2.5% significance level. -What is the value of the test statistic,z,rounded to three decimal places?

Which of the following conditions is not required to use the t distribution to perform a hypothesis test about a population mean?