Which of the following is the FIRST step of a hypothesis test?

State your null & alternative hypotheses

A Type I error is when:

We reject the null hypothesis when it is actually true

We obtain the wrong test statistic

We fail to reject the null hypothesis when it's actually false

We reject the alternate hypothesis when it's actually true

Which of the following represents the appropriate null & alternative hypotheses? The mean height of women is greater than 64"

H₀: μ > 64" Hₐ: μ ≠ 64"

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01. Which is the correct conclusion for this test?

Since p-value = 0.319 > 0.01, I fail to reject H 0 . There is not enough evidence to suggest a difference.

Since p-value = 0.319 < 0.01, I reject H 0 . There is enough evidence to suggest a difference.

Since p-value = 0.319 > 0.01, I reject H 0 . There is enough evidence to suggest a difference.

Since p-value = 0.319 < 0.01, I fail to reject H 0 . There is enough evidence to suggest a difference.

What is the Power of a test?

The probability that we correctly reject a false null.

The probability that we correctly accept a true null.

Margin of error equals:

Critical Value ∗ standard Error

What does it mean when a test is statistically significant?

the test statistic had a P-value lower than the alpha level

it has reached alpha level status

the test statistic had a P-value higher than the alpha level

it is important in practical terms

A random sample of 49 medical doctors in LA showed that they worked an average of 53.1 hours/week with a standard deviation of 7.2 hours/week. If the California average is 60 hours/week, does this give evidence that the LA doctors work significantly less than the rest of California?

One-Sample T Test for a Proportion

One-Sample Z Test for a Proportion

USA Today reported that in 1992, 39% of all elementary school children claimed that when they grow up they want to do something to help other people. However, in 1995, 128 of a random sample of 317 of these same children claimed that when they grow up they want to do something to help other people. Does this information indicate that there has been an attitude change either way?

One-Sample Z Test for a Proportion

Two-Sample Z Test for the Difference in Proportions

Two-Sample T Test for the Difference in Means

A tire manufacturer claims that one particular type of tire will last at least 50,000 miles. A group of angry customers do not believe this is so. They take a sample of 14 tires to test if the mean mileage of the tires is really less than 50,000. What set of hypotheses are they interested in testing?

a) H0: m = 50,000 vs. Ha: m < 50,000

b)H0: x̅ = 50,000 vs. Ha: x̅ < 50,000

c)H0: m = 50,000 vs. Ha: m ≠ 50,000

d)H0: m = 50,000 vs. Ha: m > 50,000

An SRS of 100 postal employees found that the average time these employees had worked at the postal service was 7 years with a standard deviation of 2 years. Do the data provide convincing evidence that the mean time of employment for the population of postal workers has changed from the value of 7.5 that was true 20 years ago? What conclusion should you draw at the 5% significance level?

There is convincing evidence that the mean time working with the postal service has changed

There is not convincing evidence that the mean time working with the postal service has changed

There is convincing evidence that the mean time working with the postal service is still 7.5 years

There is convincing evidence that the mean time working with the postal service is now 7 years

We cannot draw a conclusion at the 5% significance level. The sample size is too small

The reason we use t procedures instead of z procedures when carrying out a test about a population mean is that

z requires that you know the population standard deviation σ

z requires that the sample size be large

z requires that the data come from a random sample or randomized experiment

z requires that the population distribution be perfectly Normal

z can only be used for proportion

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

obtaining data with a small p-value

using a small level of significance

using a large level of significance

obtaining data with a low test statistic

An SRS of 100 postal employees found that the average time these employees had worked at the postal service was 7 years with a standard deviation of 2 years. Do these data provide convincing evidence that the mean time of employment for the population of postal workers has changed from the value of 7.5 that was true 20 years ago? What conclusion should you draw at the 5% significance level?

There is convincing evidence that the mean time working with the postal service has changed

There is not convincing evidence that the mean time working with the postal service has changed

There is convincing evidence that the mean time working with the postal service is still 7.5 years

There is convincing evidence that the mean time working with the postal service is now 7 years

We cannot draw a conclusion at the 5% significance level. The sample size is too small

A medical assistant sampled the blood pressures of 20 randomly selected patients with high blood pressure before and after they receive a dose of a new medicine. Which hypothesis test should she run?

Paired t-test. Since the patients are the same in both sample 1 and sample 2, the two samples are linked.

2-sample t-test. Since the blood pressures were taken for 20 patients in sample 1 and the same 20 patients in sample 2, use a two-sample t-test to see if the results are statistically significant.

1-sample t-test. The medical assistant should compare the mean of the first sample of 20 patients to the mean of the second sample of 20 patients.

2-sample t-test. There is no natural pairing between the two samples.

What is the Power of a test?

The probability that we correctly reject a false null.

The probability that we correctly accept a true null.

Statistics

12th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the only option for the null hypothesis?

H_0: p= k

H₀ :p > k

H₀: p < k

H₀: p ≠ k

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is not an option for an alternate hypothesis?

H_a: μ= k

H_a: μ > k

H_a: μ < k

H_a: μ ≠ k

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Slab avalanches studied in Canada have an average thickness of μ = 67 cm. The ski patrol at Vail Colorado, is studying slab avalanches in their region. A random sample of 16 avalanches showed that x-bar = 61.8cm and s = 10.6 cm. Assuming the slab thickness is normally distributed, test the claim that the mean slab thickness is the Vail region is different from that in Canada with a level of significance of 1%.

Do not reject H₀ (t = -1.96)

Reject H₀ (t = -1.57)

Do not reject H₀ (t = -1.96)

Reject H₀ (t = -1.57)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A two-tailed test with n = 41 has a test statistic z = 1.56. Which is the correct p-value?

0.0594

Between 0.10 and 0.15

Between 0.050 and 0.075

0.1188

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A left-tailed test with n = 41 has a test statistic t = 2.72. Which is the correct p-value?

0.0033

Between 0.0025 and 0.005

Between 0.010 and 0.0010

0.9967

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the correct null hypothesis:

H₀: p = 0.50

H₀: µ = 100

H₀: p = 0.48

H₀: µ = 96

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?

Ho: p=.21
Ha: p > .21

Ho: p< .21
Ha: p= .21

Ho: p> .21
Ha: p= .21

Ho: p= .21
Ha: p< .21

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Statistics

What is the only option for the null hypothesis?

Which of the following is not an option for an alternate hypothesis?

A two-tailed test with n = 41 has a test statistic z = 1.56. Which is the correct p-value?

A left-tailed test with n = 41 has a test statistic t = 2.72. Which is the correct p-value?

Identify the correct null hypothesis:

5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles. The manufacturer hopes that the redesign of one of the engine's components has solved this problem. Write the null and alternative hypotheses for this situation.

Which of the following is the FIRST step of a hypothesis test?

A Type I error is when:

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