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Suppose you are more interested in finding if the proportion of females who are very worried about the COVID pandemic (p1 ) is higher than
Suppose you are more interested in finding if the proportion of females who are very worried about the COVID pandemic (p1 ) is higher than the proportion of males who are very worried about the pandemic (P2). Suppose you conduct a sample survey and found that 510 out of 1,000 Canadian female respondents aged 25 and over reported that they are very worried, whereas 384 out of 800 male respondents in the same age group reported that they are very worried. a. Are women more worried than men about the spread of coronavirus? Which of the following would you choose for your null and alternative hypotheses? (Note: Select the number that shows the correct pair) 1 . Ho : P1 - P2 = 0 H1 : P1 - P2 0 b. Select the distribution to use. (Note: Select the number that shows the correct answer). 1. t distribution 2 z distribution (normal distribution) 3. F distribution c. Find the value of the test statistic. Express the value to two decimal places of accuracy. Note: To save computational time, assume p p2 - 0.0237. d. If you decided to use the p-value approach (instead of the critical value method), what would be your p-value for this right- tailed test? (Note: Enter just the numerical value, rounded to four decimals) e. Considering the p-value in part (d) and the level of significance a = .025, what would be your decision? O Reject the null hypothesis. O Do not reject the null. f. Which of the following would be your conclusion of the test? (Note: Enter 1 or 2 to indicate the correct conclusion.) 1. There is insufficient evidence to conclude that the proportion of the female population who are very worried about the pandemic is higher. 2. There is sufficient evidence to conclude that the proportion of the female population who are very worried about the pandemic is higher
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