Math quiz AMU 302

Will someone please help me with these questions

A.Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79.

B.Cannot determine

C.Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79.

D.More seniors are going to college Reset Selection

Question 4 of 20 1.0 Points

A two-tailed test is one where:

A.results in either of two directions can lead to rejection of the null hypothesis

B.negative sample means lead to rejection of the null hypothesis

C.results in only one direction can lead to rejection of the null hypothesis

D.no results lead to the rejection of the null hypothesis Reset Selection

Question 5 of 20 1.0 Points

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.

State the null and alternative hypotheses.

A.H0: 75, H1: > 75

B.H0: = 75, H1: ? 75

C.H0: = 75, H1: > 75

D.H0: 75, H1: < 75

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Question 6 of 20 1.0 Points

The form of the alternative hypothesis can be:

A.one or two-tailed

B.two-tailed

C.neither one nor two-tailed

D.one-tailed

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Question 7 of 20 1.0 Points

If a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:

A.two-tailed test

B.confidence interval

C.point estimate of the population parameter

D.one-tailed test

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Question 8 of 20 1.0 Points

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

Compute the z or t value of the sample test statistic.

A.z = 1.96

B.z = 0.69

C.z = 0.62

D.t = 1.645

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Question 9 of 20 1.0 Points

You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value

of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?

A.The p – value stays the same

B.The p – value increases

C.The p – value decreases

D.The p – value may increase or decrease

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Question 10 of 20 1.0 Points

A type II error occurs when:

A.the null hypothesis is incorrectly accepted when it is false

B.the null hypothesis is incorrectly rejected when it is true

C.the sample mean differs from the population mean

D.the test is biased

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Question 11 of 20 1.0 Points

The alternative hypothesis is also known as the:

A.null hypothesis

B.optional hypothesis

C.research hypothesis

D.elective hypothesis

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Part 2 of 3 -

Question 12 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.

Test of H0: 1500 versus H1: > 1500

Sample mean 1509.5

Std error of mean 4.854

What is the test value that you would use to conduct this test? Place your answer, rounded to 3

decimal places in the blank. For example, 1.234 would be a legitimate entry.

Question 13 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.

Test of H0: 1500 versus H1: > 1500

Sample mean 1509.5

Std error of mean 4.854

Assuming the life length of this type of lightbulb is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For

example, .123 would be a legitimate entry.

Question 14 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below.

Test of H0: = 100 versus H1: 100

Sample mean 98.5

Std error of mean 0.777

Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example,

0.234 would be a legitimate entry.

Question 15 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.

Test of H0: 1500 versus H1: > 1500

Sample mean 1509.5

Std error of mean 4.854

Assuming the life length of this type of lightbulb is normally distributed, if you wish to conduct this test using a .05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a

legitimate entry.

Question 16 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip.

Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.

P-value: Round your answer to four decimal places as necessary.

Question 17 of 20 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

At a university, the average cost of books per student has been $400 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $400. He surveys a sample of 40 students and finds that for the most recent semester their average cost was $430 with a standard deviation of $80. What is the test value for this hypothesis test?

Test value: Round your answer to two decimal places as necessary.

Part 3 of 3 -

Question 18 of 20 1.0 Points

In order to determine the p-value, it is unnecessary to know the level of significance.

True

False

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Question 19 of 20

1.0 Points

The p-value of a test is the smallest level of significance at which the null hypothesis can be rejected.

True

False Reset Selection

Question 20 of 20

1.0 Points

The smaller the p–value, the more evidence there is in favor of the alternative hypothesis.

True

False Reset Selection