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Home Question Bank Math Statistics Archive 2024 December 17

Statistics Questions from Dec 17,2024

Browse the Statistics Q&A Archive for Dec 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A biologist uses the chi-square test to determine whether the observed distribution of 5 species matches an expected theoretical distribution. The chi-square test yields a \( \chi^{2} \) test statistic of 13.277 . What is the null hypothesis? Select What is the alternative hypothesis? Welect What is the number of degrees of freedom? Ex: 5 Woes the data differ from expected distribution at the \( \alpha=0.1 \) significance level? Select \( \sim \) A biologist uses the chi-square test to determine whether the observed distribution of 5 species matches an expected theoretical distribution. The chi-square test yields a \( \chi^{2} \) test statistic of 11.143 . What is the null hypothesis? Select What is the alternative hypothesis? Select What is the number of degrees of freedom? Ex: 5 What is the \( p \)-value? Ex: 1.23 . Does the data differ from expected distribution at the \( \alpha=0.05 \) significance level? Select \( \checkmark \) A biologist uses the chi-square test to determine whether the observed distribution of 5 species matches an expected theoretical distribution. The chi-square test yields a \( \chi^{2} \) test statistic of 9.488 . What is the null hypothesis? Select What is the alternative hypothesis? Select What is the number of degrees of freedom? Ex- 5 What is the p-value? Ex 1.23 . Does the data differ from expected distribution at the \( \alpha=0.01 \) significance level? Select \( v \) A biologist uses the chi-square test to determine whether the observed distribution of 5 species matches an expected theoretical distribution. The chi-square test yields a \( \chi^{2} \) test statistic of 14.86 . What is the null hypothesis? Select What is the alternative hypothesis? Welect What is the number of degrees of freedom? Ex: 5 Does the data differ from expected distribution at the \( \alpha=0.05 \) significance level? Select \( \checkmark \) A biologist uses the chi-square test to determine whether the observed distribution of 5 species matches an expected theoretical distribution. The chi-square test yields a \( \chi^{2} \) test statistic of 7.779 . What is the null hypothesis? The observed distribution and the expected distribution do not differ v What is the alternative hypothesis? The mean of the random variable is zero What is the number of degrees of freedom? Ex: 5 . What is the \( p \)-value? Ex: 1.23 . Does the data differ from expected distribution at the \( \alpha=0.05 \) significance level? If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables? An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of 1101 tankers is drawn. Of these ships, 848 did not have spills. Using the data, construct the \( 98 \% \) confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places. \( \begin{array}{l}\text { Answer } \\ \text { How to enter your answer (opens in new window) }\end{array} \) An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2 : Suppose a sample of 1101 tankers is drawn. Of these ships, 848 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places. Answer How to enter your answer (opens in new window) NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6 . In an earlier study, the population proportion was estimated to be 0.43 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the \( 99 \% \) confidence level with an error of at most 0.03 ? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23 . How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the \( 98 \% \) confidence level with an error of at most 0.03 ? Round your answer up to the next integer. Answer How to enter your answer (opens in new window)
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