An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%.
To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle.
The following is the setup for this hypothesis test:
H0:p=0.65
Ha:p>0.65
In this example, the p-value was determined to be 0.026.
Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%.)
Solution:
This is a right tailed,
P- value = 0.026
The p-value is p = 0.026, and since p = 0.026 < 0.05, it is concluded that the null hypothesis is rejected.
There is sufficient evidence to claim that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. at 0.05 level of significance.
An economist claims that the proportion of people who plan to purchase a fully electric vehicle...
A researcher claims that the proportion of college students who plan to participate in community service after graduation is greater than 35%. To test this claim, a survey asked 500 randomly selected college students if they planned to perform community service after graduation. Of those students, 195 indicated they planned to perform community service. The following is the setup m the following hypothesis test: H0:p=0.35 Ha:p>0.35 In this example, the p-value was determined to be 0.030. Come to a conclusion...
Test the claim that the proportion of people who own cats is
larger than 20% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≤0.2H0:μ≤0.2
Ha:μ>0.2Ha:μ>0.2
H0:μ≥0.2H0:μ≥0.2
Ha:μ<0.2Ha:μ<0.2
H0:p≤0.2H0:p≤0.2
Ha:p>0.2Ha:p>0.2
H0:p≥0.2H0:p≥0.2
Ha:p<0.2Ha:p<0.2
H0:p=0.2H0:p=0.2
Ha:p≠0.2Ha:p≠0.2
H0:μ=0.2H0:μ=0.2
Ha:μ≠0.2Ha:μ≠0.2
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 100 people, 26% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
Test the claim that the proportion...
Test the claim that the proportion of people who own cats is larger than 80% at the 0.10 significance level. The null and alternative hypothesis would be: H0:p=0.8H0:p=0.8 Ha:p≠0.8Ha:p≠0.8 H0:p≤0.8H0:p≤0.8 Ha:p>0.8Ha:p>0.8 H0:μ=0.8H0:μ=0.8 Ha:μ≠0.8Ha:μ≠0.8 H0:μ≥0.8H0:μ≥0.8 Ha:μ<0.8Ha:μ<0.8 H0:p≥0.8H0:p≥0.8 Ha:p<0.8Ha:p<0.8 H0:μ≤0.8H0:μ≤0.8 Ha:μ>0.8Ha:μ>0.8 The test is: two-tailed left-tailed right-tailed Based on a sample of 400 people, 89% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 90% at the 0.05 significance level. The null and alternative hypothesis would be: H0:p≤0.9H0:p≤0.9 Ha:p>0.9Ha:p>0.9 H0:μ=0.9H0:μ=0.9 Ha:μ≠0.9Ha:μ≠0.9 H0:p≥0.9H0:p≥0.9 Ha:p<0.9Ha:p<0.9 H0:μ≤0.9H0:μ≤0.9 Ha:μ>0.9Ha:μ>0.9 H0:μ≥0.9H0:μ≥0.9 Ha:μ<0.9Ha:μ<0.9 H0:p=0.9H0:p=0.9 Ha:p≠0.9Ha:p≠0.9 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 89% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is larger than 20% at the 0.05 significance level. 1. The null and alternative hypothesis would be: H0:μ=0.2H0:μ=0.2 Ha:μ≠0.2Ha:μ≠0.2 H0:μ≥0.2H0:μ≥0.2 Ha:μ<0.2Ha:μ<0.2 H0:p≤0.2H0:p≤0.2 Ha:p>0.2Ha:p>0.2 H0:p=0.2H0:p=0.2 Ha:p≠0.2Ha:p≠0.2 H0:p≥0.2H0:p≥0.2 Ha:p<0.2Ha:p<0.2 H0:μ≤0.2H0:μ≤0.2 Ha:μ>0.2Ha:μ>0.2 2. The test is: two-tailed right-tailed left-tailed 3. Based on a sample of 300 people, 28% owned cats The p-value is: (to 2 decimals) 4. Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ≥0.8H0:μ≥0.8 Ha:μ<0.8Ha:μ<0.8 H0:p=0.8H0:p=0.8 Ha:p≠0.8Ha:p≠0.8 H0:p≥0.8H0:p≥0.8 Ha:p<0.8Ha:p<0.8 H0:p≤0.8H0:p≤0.8 Ha:p>0.8Ha:p>0.8 H0:μ≤0.8H0:μ≤0.8 Ha:μ>0.8Ha:μ>0.8 H0:μ=0.8H0:μ=0.8 Ha:μ≠0.8Ha:μ≠0.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 200 people, 78% owned cats The p-value is:
A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. . The following is the setup for this hypothesis test: H0:p = 0.12 Ha:p ≠ 0.12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal...
A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: H0:p = 0.35 Ha:p ≠ 0.35 Find the p-value for this hypothesis test for a proportion and round your answer to...
Test the claim that the proportion of people who own cats is larger than 60% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p = 0.6 Ho:p > 0.6 Ho:4 > 0.6 Ho:u < 0.6 Ha:p + 0.6 Ha:p < 0.6 Ha:4 < 0.6 Ha:> 0.6 Ho:u = 0.6 Ho:p < 0.6 Haiu + 0.6 Ha:p > 0.6 The test is: left-tailed right-tailed two-tailed Based on a sample of 500 people, 65% owned cats The p-value...
A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.55, but given the number of people you've talked to about this same issue, you believe it is different from 0.55. The hypotheses for this test are Null Hypothesis: p = 0.55, Alternative Hypothesis: p ≠ 0.55. You take a random sample and perform a hypothesis test, getting a p-value of 0.0165. What is the appropriate conclusion? Conclude at the 5%...