Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level.
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Given that
Claim : The proportion of men who owns cats is significantly different than 40%
Hypothesized proportion (P) = 0.40
Level of significance () = 0.02
sample size (n) = 200
Sample proportion owned cats (p) = 31% = 0.31
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- Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 372 of the 563 randomly selected wildfires looked at in the south were caused by humans while 372 of the 521 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 answerv Select an answerv Select an answerv (please enter a decimal) H: Select an answerv Select an answerv Select an answerv (Please enter a decimal) C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically insignificant conclude that the population proportion from the…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 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. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval isA study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 400 randomly selected people who rode a jet ski, 88% wore life vests. Out of 250 randomly selected boaters, 82.4% wore life vests. Using a 0.01 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: p1=p2 Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
- 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? A. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in…A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55,80 dream in black and white, and among 287 people under the age of 25, 14 dreams 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?Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 348 of the 574 randomly selected wildfires looked at in the south were caused by humans while 272 of the 518 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 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 Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) = c. The test statistic ? ◊ your answer to 3 decimal places.) (please show
- Test the claim that the proportion of men who own cats is smaller than 40% at the .005 significance level. The null and alternative hypothesis would be: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…A survey of 1031 adults in a college asked whether they liked chocolate or strawberry ice cream more. Of those surveyed, 536 said they prefer chocolate. Determine and interpret the sample proportion. At the 5% significance level, does the data provide sufficient evidence to conclude that a majority of students in the college prefer chocolate ice cream?