A prosecutor cited small pieces of glass found submerged in the offender's clothing as the main evidence in a criminal case. The prosecutor claimed that the pieces were identical to the composition of a rare tinted Belgian glass window that had been broken during the crime. The average of three analyzes
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A prosecutor cited small pieces of glass found submerged in the offender's clothing as the main evidence in a criminal case. The prosecutor claimed that the pieces were identical to the composition of a rare tinted Belgian glass window that had been broken during the crime. The average of three analyzes for the five elements in the glass is shown in the table below. Based on this data, does the prosecutor have reasonable grounds to suspect him of guilt? Apply the 99% confidence test as the criterion for doubt.
concentration | standard deviation | ||
element | from the dress | from the glass | s→σ |
As | 129 | 119 | 9,5 |
Co | 0,53 | 0,60 | 0,025 |
La | 3,92 | 3,52 | 0,20 |
Sb | 2,75 | 2,71 | 0,25 |
Th | 0,61 | 0,73 | 0,043 |
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- A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? 9 Human activity Natural patterns Don't know 66 64 Male 288 307 130 155 Female Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: H₂₁: Compute the test statistic. ▼and and (Round to three decimal places as needed.) Find the critical value(s). are ▼are (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim…Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 429 of the 567 randomly selected wildfires looked at in the south were caused by humans while 396 of the 544 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer v Select an answer | (please enter a decimal) Hj: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income of childcare workers in California. To see if this is true, the firm selected a random sample of 10 childcare workers from Connecticut and an independent random sample of 10 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows. 80°F Partly sunny Annual income in dollars Connecticut 42438, 52287, 46837, 49334, 52848, 52929, 57111, 51860, 44967, 52174 California 50998, 38334, 56804, 50919, 49446, 41141, 45717, 43963, 55156, 47295 LL D 144Hz Send data to calculator V The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100,…