Question 1 Which of the following are true about two independent samples? Select all that apply. C] Sample values from each population are not related. C] The two samples always have the same sample size. [:1 It is not necessary for the two samples to have the same size. [:1 Sample values from each population are related. Question 2 Which of the following are true about two dependent samples? Select all that apply. [:1 It is not necessary for the two samples to have the same size. C] Sample values from each population are related. C] Sample values from each population are not related. [:1 The two samples always have the same sample size. Question 1 Which of the following are true about two independent samples? Select all that apply. C] Sample values from each population are not related. C] The two samples always have the same sample size. [:1 It is not necessary for the two samples to have the same size. [:1 Sample values from each population are related. Question 2 Which of the following are true about two dependent samples? Select all that apply. [:1 It is not necessary for the two samples to have the same size. C] Sample values from each population are related. C] Sample values from each population are not related. [:1 The two samples always have the same sample size. According to the book...Select Are you supposed to "pool" when performing a hypothesis test for the difference between two means? Answer: [ sElect] v Are you supposed to "pool" when performing a hypothesis test for the difference between two proporons? Answe l Yes No Question 4 2 pts When performing a hypothesis test for the difference between proportions, the null hypothesis: Ho: p1 = p2 , would imply that the standard deviations would be the same for the two populations. With that, "pooling" is performed to get better results. Pooling involves determining the overall proportion of successes from the two samples. In the book has some typos within Comparing Two independent Population Proportions with regard to the formula for calculating the pooled proportion of successes, pc. Which of the following is the correct formula for pc? 0 xA+x+B nA+n3 O XianXE nA_nB nA+nB According to the book...Select Are you supposed to "pool" when performing a hypothesis test for the difference between two means? Answer: [ sElect] v Are you supposed to "pool" when performing a hypothesis test for the difference between two proporons? Answe l Yes No Question 4 2 pts When performing a hypothesis test for the difference between proportions, the null hypothesis: Ho: p1 = p2 , would imply that the standard deviations would be the same for the two populations. With that, "pooling" is performed to get better results. Pooling involves determining the overall proportion of successes from the two samples. In the book has some typos within Comparing Two independent Population Proportions with regard to the formula for calculating the pooled proportion of successes, pc. Which of the following is the correct formula for pc? 0 xA+x+B nA+n3 O XianXE nA_nB nA+nB Which one of the following is the formula for calculating the test statistic for the hypothesis test for paired samples? O (3A_s)_ (DA-p3) Pc(1Dc)[i + i] "A "B O (31'Y2)'(H1_V2) Last week we looked at the data used in the preliminary analysis for the COVlD-19 vaccine for use in children 5 through 11 years of age (FDA authorization Pzer-BioNTech COVlD-19 Vaccine for Maggy Use in Children 5 through 11 Years of Age Within this announcement it was indicated that of the 1305 that received the vaccine, 3 cases of COVlD-19 occurred, and of the 663 that received a placebo, 16 cases of COVlD-19 occurred. Perform a hypothesis test, at the 0.01 signicance level to determine if the COVlD-19 vaccine reduced the proportion of children that contracted COVID-19. Let .01 represent the true proportion of those children 5 through 11 years of age that received the vaccine and contracted COVlD-19. Let .02 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVlD-19. H1._,:p1-p2 [Select] v 0 H03p1p2- [Select] v 0 32 = [Select] v p c = [Select] v z-statistic = [Select] v P-value = [Select] V Last week we looked at the data used in the preliminary analysis for the COVID-19 vaccine for use in children 5 through 11 years of age (FDA authorization Pfizer-BioNTech COVID-19 Vaccine for Emergency Use in Children 5 through 11 Years of Age Within this announcement it was indicated that of the 1305 that received the vaccine, 3 cases of COVID-19 occurred, and of the 663 that received a placebo, 16 cases of COVID-19 occurred. Perform a hypothesis test, at the 0.01 significance level to determine if the COVID-19 vaccine reduced the proportion of children that contracted COVID-19. Let P 1 represent the true proportion of those children 5 through 11 years of age that received the vaccine and contracted COVID-19. Let P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19. Ho: P1 - p- V [ Select ] 0 > Ha: P1 - Pz Ha: P1 - Pz p1 = [ Sele [ Select ] 1.423 0.0096 Since the 0.0000 0.01 we [ Select ] the null 0.0022 hypothesis. I his data [erect] give evidence that the proportion of childrenLet P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19 Ho: P1 - P2 [ Select ] 0 Ha: P1 -P2 [ Select ] 0 p1 = [ Select ] p 2 = [ Select ] Pc= [ Select ] z-statistic = [ Select ] P-value = [ Select ] Since the P-value v [ Select ] 0.01 we [ Select ] the null > hypothesis. This = give evidence that the proportion of children 5-11 years of age that contract COVID-19 after receiving the COVID-19 vaccine is [ Select ] those that receive the placebo.Let P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19 Ho: P1 - P2 [ Select ] 0 Ha: P1 -P2 [ Select ] 0 p1 = [ Select ] p 2 = [ Select ] Pc= [ Select ] z-statistic = [ Select ] P-value = [ Select ] Since the P-value [ Select ] 0.01 we V [ Select ] the null reject hypothesis. This data [ Select ] give fail-to-reject of children 5-11 years of age that contract COVID-19 after receiving the COVID-19 vaccine is [ Select ] those that receive the placebo.Let P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19 Ho: P1 - P2 [ Select ] 0 Ha: P1 -P2 [ Select ] 0 p1 = [ Select ] p 2 = [ Select ] Pc= [ Select ] z-statistic = [ Select ] P-value = [ Select ] Since the P-value [ Select ] 0.01 we [ Select ] the null hypothesis. This data v [ Select ] give evidence that the proportion of children does 5-11 years of age tha does not iving the COVID-19 vaccine is [ Select ] those that receive the placebo.Let P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19 Ho: P1 - P2 [ Select ] 0 Ha: P1 -P2 [ Select ] 0 p1 = [ Select ] p 2 = [ Select ] Pc= [ Select ] z-statistic = [ Select ] P-value = [ Select ] Since the P-value [ Select ] 0.01 we [ Select ] the null hypothesis. This data [ Select ] give evidence that the proportion of children 5-11 years of age that contract COVID-19 after receiving the COVID-19 vaccine is [ Select ] those that receive the placebo. greater than equal toLast week we looked at the data used in the preliminary analysis for the COVID-19 vaccine for use in children 5 through 11 years of age (FDA authorization Pfizer-BioNTech COVID-19 Vaccine for Emergency Use in Children 5 through 11 Years of Age Within this announcement it was indicated that of the 1305 that received the vaccine, 3 cases of COVID-19 occurred, and of the 663 that received a placebo, 16 cases of COVID-19 occurred. Perform a hypothesis test, at the 0.01 significance level to determine if the COVID-19 vaccine reduced the proportion of children that contracted COVID-19. Let P 1 represent the true proportion of those children 5 through 11 years of age that received the vaccine and contracted COVID-19. Let P2 represent the true proportion of those children 5 through 11 years of age that received the placebo and contracted COVID-19. Ho: P1 - P2 [ Select ] 10 Ha: P1 - P2 [ Select ] vo p1 = [Select ] P, = [ Select ] Pc = [Select ] V z-statistic = [ Select ] P-value = [ Select ] Since the P-value [ Select ] 0.01 we [ Select ] the null hypothesis. This data [ Select ] give evidence that the proportion of children 5-11 years of age that contract COVID-19 after receiving the COVID-19 vaccine is [ Select ] those that receive the placebo