A Type I error is Select one: A. the probability that the null hypothesis is acc

Question

A Type I error is

Select one:

A. the probability that the null hypothesis is accpeted when it is really false.

B. the probability thst the alternative hypothesis is rejected when it is really false.

C. the probability that the null hypothesis is rejected when it is really true.

D. the probability that the alternative hypothesis is rejected when it is really true.

A type II error is

Select one:

A. the probability that the null hypothesis is accepted when it is really false

B. the probability that the alternative hypothesis is rejected when it is really false

C. the probability that the null hypothesis is accepted when it is really true.

D. the probability that the alternative hypothesis is rejected when it is really true.

The amount of liquid a paper towel can absorb will be use to marked the paper towel. Suppose a sample of 15 new towels average 12.5 grams with standard deviation of 1.15 grams. the previous version of this paper towel absorbed an average of 12 grams. Calculate the test statistics for this problem

Select one:

A. t=1.6839

B. z=1.6839

C. z=0.4348

D. t=0.4348

Select one:

A. the new towel absorbs more than the previous one since the critical test value is 1.645

B. the new towel absorbs more than the previous one since the critical test value is 1.761

C. the new towel does not absorb more than the previous one since the critical test value is 1.761

D. the new towel does not absorb more than the previous one since the critical test value is 1.645

Select one:

A. Z table where the 0.99 of the area is to the left of the Z value.

B. Z table where 0.98 of the area is to the left of the Z value.

C. t table where, with 25 degrees of freedom, the column heading is 0.02.

D. t table where, with 25 degrees of freedom, the column heading is 0.01.

Some financial theoreticians believe that the stock market's daily prices constitute a "random walk with positive drift." If this is accurate, then the Dow Jones Industrial Average should show a gain on more than 50% of all trading days. The average increased on 101 of 175 randomly chosen days. State the null and alternative hypothesis to verify the theory.

Select one:

Some financial theoreticians believe that the stock market's daily prices constitute a "random walk with positive drift." If this is accurate, then the Dow Jones Industrial Average should show a gain on more than 50% of all trading days. The average increased on 101 of 175 randomly chosen days. The test statistic for this problem is?

Select one:

A. t=0.0060

B. t=2.04

C. Z=0.0060

D. Z = 2.04

Select one:

A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. the chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. State the null and alternative hypothesis tests of interest to the rental chain.

Select one:

A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. the chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. The value of the test statistic in this problem is approximately equal to:

Select one:

A. 2.80

B. 2.60

C. 1.94

D. 1.30

Select one:

A. Since the critical test value is 1.96, we are going to reject the null hypothesis. The rental chain store should open a store in this area.

B. Since the critical test value is 1.96, we have failed to reject the null hypothesis. The rental chain store should not open a store in this area.

C. Since the critical test value is 1.96, we have failed to reject the null hypothesis. The rental chain store should not open a store in this area.

D. Since the critical test value is 1.96, we have failed to reject the null hypothesis. The rental chain store should open a store in this area.

An economist wishes to determine whether there is evidence that average family income in a certain community is not significantly different than $25,000. She can use either a one-tailed or two-tailed test with equivalent results.

Select one:

True

False

A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 16 cans of this soft drink, which were checked for calories, contained a mean of 31.8 calories with a standard deviation of 3 calories. Assume that the number of calories in 12-ounce soda cans is normally distributed. State the null and alternative hypotheses to test the manufacturer claim.

Select one:

Select one:

a. with test statistics of 2.40 and critical value of 2.602, we reject the null hypothesis. The manufacturer claims is not valid.

b. with test statistics of 2.40 and critical value of 2.326, we failed to reject the null hypothesis. The manufacturer claims can not be rejected.

c. with test statistics of 2.40 and critical value of 2.326, we failed to reject the null hypothesis. The manufacturer claims is not valid.

d. with test statistics of 2.40 and critical value of 2.602, we failed to reject the null hypothesis. The manufacturer claims can not be rejected.

Exact p-values can't be determined (from the table) when using the t distribution in a hypothesis test.

Select one:

True

False

Select one:

Explanation / Answer

1. C. the probability that the null hypothesis is rejected when it is really true.

a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis (a "false negative")

2. A. the probability that the null hypothesis is accepted when it is really false

A type II error is a statistical term used within the context of hypothesis testing that describes the error that occurs when one accepts a null hypothesis that is actually false. The error rejects the alternative hypothesis, even though it does not occur due to chance.

we are instructed to answer not more than 1 question at a time

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