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WorksheetsUnit 6 Extra Test Review MCQ
Total questions: 24
Worksheet time: 3hrs 5mins
The symbol for the sample proportion is __________.
z*
p̂
E
p
Find the value of z* for a 90% confidence interval.
-1.96
1.645
1.440
-1.598
In a survey of 104 students, it was found that 79 went to the homecoming game this year.
A 99% confidence interval for p is (0.652, 0.868). Interpret this interval.
99% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.
Based on this sample, I am 99% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
99% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year
Find the critical value, z*, for 91% confidence.
1.70
1.34
0.18
-1.34
Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?
97%, z* is larger for higher confidence intervals
97%, the standard error is larger for higher confidence intervals
91%, z* is larger for lower confidence intervals
91%, the standard error is smaller for lower confidence intervals
Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?
97%, z* is larger for higher confidence intervals
97%, the standard error is larger for higher confidence intervals
91%, z* is larger for lower confidence intervals
91%, the standard error is smaller for lower confidence intervals
For a sample, the 95% confidence interval is (0.202, 0.482).
What is the point estimate, p̂, of this sample?
0.28
0.14
0.342
0.684
For a sample, the 95% confidence interval is (0.202, 0.482).
What is the margin of error of this sample?
0.28
0.14
0.342
0.684
Which of the following actions would produce a confidence interval with a smaller width assuming all other contingencies remained constant?
Using a higher confidence level
Using a lower confidence level
Identify the correct null hypothesis:
Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.
H0: p = 0.50
H0: µ = 100
H0: p = 0.48
H0: µ = 96
When p-value is greater than alpha we:
Reject Ho
Fail to reject Ha
Fail to reject Ho
Reject Ha
Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?
a) Reject the null hypothesis
b) Reject the alternative hypothesis
c) Fail to reject the null hypothesis
d) Fail to reject the alternative hypothesis
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: μ > 21
Ha: μ < 21
Ho: p > .20
Ha: p < .20
Ho: p < .21
Ha: p > .21
Ho: p > .21
Ha: p < .21
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 p-value for this test?
0.160
0.319
0.508
0.492
A manufacturer has a set limit that the proportion of defective items is not to be over 18%. The buyer thinks the proportions of defective items exceeds the limit. The buyer take a random sample of 90 items and finds that 19 of them are defective. The p-value is:
0.2333
0.2212
.7788
.7682
The symbol for the significance level is ____.
α
θ
π
μ
In hypothesis testing, if the p-value is less than the significance level, what is the appropriate decision?
Fail to reject the null hypothesis
Reject the null hypothesis
Accept the null hypothesis
Accept the alternative hypothesis
The percentage of female CEOs in a group of companies was 5%. A survey of 300 randomly selected large companies said that 18 of them had female CEOs. Use a hypothesis test to determine whether the population proportion of female CEOs is not .05, using a significance level of .05. Determine if we accept or reject the null hypotheses and state the conclusion.
Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.
Do not reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.
Reject the null hypothesis. There is sufficient enough evidence to conclude that the proportion of female CEOs is not .05.
Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.
