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The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 696 drowning deaths of children with 30% of them attributable to beaches. Find the value of the test statistic z.
Select one:
a. -3.05
b. -2.88
c. 2.88
d. 3.05
Question 2
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The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of the seventh-graders at a neighboring school, which have variation described by = 14.7. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Select one:
a. There is sufficient evidence to support the claim that the standard deviation is less than 14.7.
b. There is sufficient evidence to support the claim that the standard deviation is greater than 14.7.
c. There is not sufficient evidence to support the claim that the standard deviation is less than 14.7.
d. There is not sufficient evidence to support the claim that the standard deviation is greater than 14.7.
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A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Express the null hypothesis and the alternative hypothesis in symbolic form. Use p, the true percentage of the population that suffers from extreme shyness.
Select one:
a. H0: p = 5.8% H1: p < 5.8%
b. H0: p = 5.8% H1: p > 5.8%
c. H0: p > 5.8% H1: p 5.8%
d. H0: p < 5.8% H1: p 5.8%
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Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a right-tailed test is z = 0.52.
Select one:
a. 0.3015; reject the null hypothesis
b. 0.0195; reject the null hypothesis
c. 0.6030; fail to reject the null hypothesis
d. 0.3015; fail to reject the null hypothesis
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A consumer advocacy group claims that the mean mileage for the Carter Motor Company's new sedan is less than 32 miles per gallon. Identify the type I error for the test.
Select one:
a. Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon.
b. Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon.
c. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32 miles per gallon.
d. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon.
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The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, , of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
Select one:
a. H0: 48° H1: < 48°
b. H0: 48° H1: > 48°
c. H0: = 48° H1: 48°
d. H0: 48° H1: = 48°
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Find the critical value or values of 2 based on the given information.
H1: < 0.629
n = 19
= 0.025
Select one:
a. 8.907
b. 8.231
c. 31.526
d. 7.015
Question 8
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Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Select one:
a. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
b. There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
c. There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
d. There is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
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An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Calculate the test statistic z.
Select one:
a. z = -2.18
b. z = 2.27
c. z = 2.18
d. z = -2.27
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An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Find the p –value and state the conclusion about the null hypothesis
Select one:
a. p = 0.0116; reject null hypothesis
b. p = 0.0146; reject the null hypothesis
c. p = 0.0146; fail to reject the null hypothesis
d. p = 0.0116; fail to reject the null hypothesis
Explanation / Answer
Solution:-
1) option d. 3.05
2) option a. there is sufficient evidence to support the claim that the standard deviation is less than 14.7
3) option b. H0:p=5.8% H1:p>5.8%
4) option d. 0.3015;fail to reject the null hypothesis.
5) option b. reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon.
6) option c. H0: = 48° H1: 48°
7) option c. 31.526
8) option a. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
9) option b. z = 2.27
10) option a. p = 0.0116; reject null hypothesis
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