WorksheetsHypothesis Testing for Proportions chapter 19
Total questions: 15
Worksheet time: 25mins
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Select the correct hypotheses. (2 answers)
H0: p = 0.42
Ha: p = 0.42
H0: p = 775/1100
Ha: p ≠ 0.42
Ha: p ≠ 775/1100
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Which is the correct p-value for this test?
5.08 x 10 -12
2.84 x 10 -91
2.56 x 10 -12
0
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Which is the correct conclusion for this test?
Snice p-value = 5.08 x 10 -12 < 0.05, I reject H0. There is enough evidence to suggest a difference.
Snice p-value = 5.08 x 10 -12 < 0.05, I fail to reject H0. There is enough evidence to suggest a difference.
Snice p-value = 5.08 > 0.05, I fail to reject H0. There is not enough evidence to suggest a difference.
Snice p-value = 5.08 > 0.05, I reject H0. There is enough evidence to suggest a difference.
A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.
Select the correct hypotheses. (2 answers)
H0: p = 0.50
Ha: p = 0.50
H0: p = 660/1500
Ha: p < 660/1500
Ha: p < 0.50
A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.
Which is the correct p-value for this test?
0.002
0.999
0.500
0.000
A nationwide survey of 1500 adults asked about attitudes toward “alternative medicine” such as acupuncture, massage therapy, etc. Among the 1500 respondents, 660 said they would use alternative medicine if traditional medicine was not producing the results they wanted. Do these data provide enough evidence to suggest that less than half of all adults would use alternative medicine if traditional medicine didn’t produce their desired results? Use a 5% level of significance.
Which is the correct conclusion for this test?
Snice p-value = 0.000 < 0.05, I reject H0. There is enough evidence to suggest that the proportion is less than half.
Snice p-value = 0.000>0.05 I reject H0. There is enough evidence to suggest that the proportion is less than half.
Snice p-value = 0.000 < 0.05, I fail to reject H0. There is enough evidence to suggest that the proportion is less than half.
Snice p-value = 0.000 < 0.05, I fail to reject H0. There is not enough evidence to suggest that the proportion is less than half.
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.
Select the correct hypotheses. (2 answers)
H0: p = 0.12
Ha: p = 0.12
H0: p = 9/55
Ha: p ≠ 0.12
Ha: p ≠ 9/55
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
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?
Snice p-value = 0.319 < 0.01, I reject H0. There is enough evidence to suggest a difference.
Snice p-value = 0.319 > 0.01, I reject H0. There is enough evidence to suggest a difference.
Snice p-value = 0.319 > 0.01, I fail to reject H0. There is not enough evidence to suggest a difference.
Snice p-value = 0.319 < 0.01, I fail to reject H0. There is enough evidence to suggest a difference.
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"
H₀: μ < 64"
Hₐ: μ > 64"
H₀: p > 64"
Hₐ: p ≠ 64"
H₀: p = 64"
Hₐ: p > 64"
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
When p-value is greater than alpha we:
Reject Ho
Fail to reject Ha
Fail to reject Ho
Reject Ha
