Only about 12% of all people can wiggle their ears. Is this percent different for millionaires? 0f the 341 millionaires surveyed, 58 could wiggle their ears. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: H0 : ? v I: (please enter a decimal) H1: :7 v [:] (Please enter a decimal) c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = l:] (Please show your answer to 3 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population proportion is not significantly different from 12% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%. O The data suggest the population proportion is not significantly different from 12% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%. O The data suggest the populaton proportion is significantly different from 12% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%. The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.52 days. Is this average different for blind dates? A researcher interviewed 40 couples who had recently been on blind dates and found that they averaged 2.6 days to communicate with each other after the date was over. Their standard deviation was 0.662 days. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: c. The test statistic = I:] (please show your answer to 3 decimal places.) d. The p-value = I:] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean is not significantly different from 2.52 at a = 0.05, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is equal to 2.52. O The data suggest the populaton mean is significantly different from 2.52 at a = 0.05, so there is statistically significant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is different from 2.52. O The data suggest that the population mean is not significantly different from 2.52 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean time for couples who have been on a blind date to communicate with each other after the date is over is different from 2.52. The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 62,60, 55, 52, 71, 79, 70,84, 63, 82, 85, 73, 80, 65, 55, 66 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: c. The test statistic = I:] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly different from 78 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78. O The data suggest the population mean is not significantly different from 78 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 78. O The data suggest the populaton mean is significantly different from 78 at a = 0.05, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 78. We wish to estimate what percent of adult residents in Ventura County like chocolate. Out of 500 adult residents sampled, 363 like chocolate. To construct a 90% confidence interval for the proportion (p) of adult residents who like chocolate in Ventura County, you need to use which one of the following calculator? O One-Way ANOVA O Hypothesis Test for a Population Mean Given Data 0 Two Independent Sample Means Comparison Given Data 0 Two Independent Sample Means Comparison Given Statistics 0 Two Independent Proportions Comparison 0 Hypothesis Test for a Population Mean Given Statistics 0 Confidence Interval for a Population Proportion O Hypothesis Test for a Population Proportion O Chi-Square Test for Goodness of Fit 0 Two Dependent Sample Means Comparison Given Data 0 Chi-Square Test for Independence 0 Confidence Interval for a Population Mean Given Statistics 0 Confidence Interval for a Population Mean Given Data a. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. Confidence interval = :] b. Express the same answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. D