When we test Ho: H=0 against Ha: >0, we get a P-value of 0.03. a. What would the decision be for a significance level of 0.05? Interpret in context. b. If the decision in (a) is in error, what type of error is it? c. Suppose the significance level were instead 0.01. What decision would you make, and if it is in error, what type of error is it? a. What would the decision be for a significance level of 0.05? OA. We would decide not to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. OB. We would decide not to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0. OC. We would decide to reject the null hypothesis. We would have sufficient evidence that the population mean is different from 0. D. We would decide to reject the null hypothesis. We would not have sufficient evidence that the population mean is different from 0. b. If the decision in (a) is in error, what type of error is it? Type II Type I c. What decision would you make, and if it is in error, what type of error is it? OA. If the significance level were instead 0.01, we would decide to reject the null hypothesis. If this decision were in error, it would be a Type I error. B. If the significance level were instead 0.01, we would decide to reject the null hypothesis. If this decision were in error, it would be a Type II error. OC. If the significance level were instead 0.01, we would decide not to reject the null hypothesis. If this decision were in error, it would be a Type I error.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? OA. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. OB. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to…

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…

Answer the questions in the images.

A​ case-control (or​ retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance​ level, test the claim that injuries are independent of helmet color.       Color of Helmet                   Black White   Yellow Red Blue     Controls​ (not injured)   494 343   27 168 99     Cases​ (injured or​ killed)   210 107    6 71 47

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Provide some details for the following examples using a significance value of .05 (using the sign, number, and significance): r = 0.3 (p > .05)   r = .99 (p < .05)   r = -.8 (p < .05)

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…

A researcher believe that increasing attention given to children will improve academic performance. He invites parents to volunteer during school to help the children with their activities. At the end of the school year he compares the academic performance of these children with the mean and standard deviation of historical rate on academic achievement. Which statistic test is appropriate for this study and why? (By using the decision tree). A. Z test B. Single sample t test C. Two independent samples t test D. Two related samples t test E. One way between subjects ANOVA F. Correlation

A statistician changes her level of significance from .001 to .05.  What impact will this change have on her risk of making a Type I and Type II error?  Is the change in the level of significance a good decision?  Why or why not?