The smaller screenshot is the current problem and the longer screenshot is the questions being asked on current problem that I currently need help with. **Identify the claim and state \( H_0 \) and \( H_a \).**The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country."Let \( p_1 \) represent the population proportion for Country A and \( p_2 \) represent the population proportion for Country B. State \( H_0 \) and \( H_a \).**Choose the correct answer below:**- A. \( H_0: p_1 > p_2 \) \( H_a: p_1 < p_2 \)- B. \( H_0: p_1 = p_2 \) \( H_a: p_1 \neq p_2 \)- C. \( H_0: p_1 \neq p_2 \) \( H_a: p_1 = p_2 \)- D. \( H_0: p_1 < p_2 \) \( H_a: p_1 > p_2 \)- E. \( H_0: p_1 = p_2 \) \( H_a: p_1 < p_2 \) ✓- F. \( H_0: p_1 = p_2 \) \( H_a: p_1 > p_2 \)---Find the standardized test statistic.\[ z = 1.84 \] (Round to two decimal places as needed.)---Use technology to calculate the P-value.\[ \text{P-value} = 0.066 \] (Round to three decimal places as needed.)---**Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.**- Fail to reject \( H_0 \) because the P-value is less than the significance level \( \alpha \).- Fail to reject \( H_0 \) because the P-value is greater than the significance level \( \alpha \).- Reject \( H_0 \) because the P-value is less than the significance level \( \alpha \).- Reject \( H_0 \) because the P-value is greater than the significance level \( \alpha \).**Can you reject the original claim? Choose the correct answer below.**- A **Transcription for Educational Website**---**Survey Analysis on Nuclear Power Plant Support**Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1047 adults from Country A, 1070 adults from Country B, 1128 adults from Country C, and 1026 adults from Country D. At α = 0.08, can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country? Assume the random samples are independent.**Bar Graph Explanation**- The bar graph displays the percentages of adults favoring new nuclear power plants for each country: - **Country A**: 49% favor - **Country B**: 51% favor - **Country C**: 44% favor - **Country D**: 36% favor**Hypothesis Testing**Identify the claim and state \( H_0 \) and \( H_a \).The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is [select an option: equal to, not equal to, greater than, less than] the proportion of adults from Country B who favor building new nuclear power plants in their country."--- In this context, the essence of the study is to determine if there's statistical evidence to support the difference in proportions between Country A and Country B at a significance level of 0.08.

Name: The smaller screenshot is the current problem and the longer screensho
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: The smaller screenshot is the current problem and the longer screenshot is the questions being asked on current problem that I currently need help with. **Identify the claim and state \( H_0 \) and \( H_a \).**The claim is "the proportion of adults i

Let p1 denotes the population proportion of adults in Country A who favor building new nuclear power plants in their country, and p2 denotes the population proportion of adults in Country B who favor building new nuclear power plants in their country. The claim of the test is that proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults in Country B who favor building new nuclear power plants in their country. The hypothesis is, Null hypothesis: H0:p1=p2 Alternative hypothesis: Ha:p1≠p2 The pooled estimate is, p¯=n1p^1+n2p^2n1+n2=1047×0.49+1070×0.511047+1070=1058.732117=0.5001 The pooled estimate is 0.5001.The standardized test statistic is, z=p^1-p^2p¯1-p¯n1+p¯1-p¯n2=0.49-0.510.50011-0.50011047+0.50011-0.50011070=-0.020.0217=-0.92 Thus, the standardized test statistic is -0.92. The hypothesis is two tail. The P-value for two tailed test is, P-value=Pz<-0.92 or z>0.92=2×Pz<-0.92 The probability of z less than –0.92 can be obtained using the excel formula “=NORM.S.DIST(–0.92,TRUE)”. The probability value is 0.179. The required P-value is, P-value=2×Pz<-0.92=2×0.179=0.358 Decision rule: If P-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The P-value (0.358) is less than the level of significance (0.06). Based on the decision rule, fail to reject the null hypothesis. Correct Answer: Fail to reject H0 because the P-value is greater than the significance level α. Thus, the original claim is not rejected. Correct Answer: No, at the 6% significance level, there is insufficient evidence to reject the claim.