A researcher is investigating the claim that the proportion of television viewers who identify one of four shows as their favorite is the same for all four shows. A  χ2 goodness-of-fit test at a significance level of α=0.05 produced the test statistic χ2=8.95 with a corresponding p-value of 0.03. Which of the following is correct?       There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. A There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. B There is sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. C There is not sufficient evidence to reject the null hypothesis at the 0.05 level since the p-value is less than the significance level. D There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the significance level.

An institute conducted a clinical trial of its methods for gender selection. The results showed that 153 of 276 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? O A. Ho: p=0.5 H₂₁: p20.5 O C. Ho: p=0.5 H₁: p=0.5 O B. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p > 0.5 Find the test statistic. Test statistic = Find the P-value. P-value = (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is (Round to two decimal places as needed.) than the significance level, evidence that the method used is effective in increasing the likelihood of a boy. the null hypothesis. There is

A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 566 women and 465 men were independently and randomly selected and that 322 women and 172 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )?  Use a significance level of α=0.1 for the test.   Step 1 of 6 :   State the null and alternative hypotheses for the test. Step 2 of 6 :   Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places.     Step 3 of 6 :   Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 :   Compute the value of the test statistic. Round your answer to two decimal places.     Step 5 of 6 :   Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of…

Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p) equals 30%. Specifically, Prof.Johnson has H0:p=0.3 versus HA:p≠0.3. He obtains a P-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected? A. There is insufficient information to tell.B. Yes.C. No.