Question 4 Suppose we are testing the null hypothesis Ho: p=0.3, and want to use a significance level of a= 0.05. What sample size should we use if we want a power [probability to correctly reject Ho in the proper direction] of 75% when the true proportion is p = 0.35? Please round up and report your answer to the next highest whole number.
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- A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?A news article that you read stated that. 51% of voters prefer the Democratic candidate. You think that the actual percent is different. 124 of the 213 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 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 (please enter a decimal) ? Select an answer (Please enter a decimal) ces C. The test statistic ? ▼ (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 answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different 51% ata = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 51%. The data suggest the population…Given two independent random samples with the following results: n₁ = 651 x₁ = 307 n2 = 569 x2 = 234 Can it be concluded that there is a difference between the two population proportions? Use a significance level of a = 0.02 for the test. Copy Data Step 5 of 6: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
- A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 150 of the 300 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) Ha: (Please enter a decimal) The test statistic = (please show your answer to 4 decimal places.) The p-value = (please show your answer to 4 decimal places)A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 122 of the 248 voters that you surveyed said that they prefer the Democratic candidate. 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 H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) c. The test statistic ? d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)Imagine you're a researcher and you need to perform a one-sided test of an alternate hypothesis. You decide to conduct a significance test at the .05 level. Which of the following of ranges of z-scores would make the test statistic significant at .05 (one -tail) but not at .01 . A. z < 1.96 B. 1.645 < z < 1.70 C. z > 1.60 D. - 1.96 < z < 1.96 E 1.645 < z < 2.33
- Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?Answer the following True or False: Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up accepting the alternative hypothesis in error. false trueNext question If a sample proportion is 0.68, which of the following could be a 90% confidence interval for the population proportion? ..... Select all that apply. A. Lower bound: 0.59; Upper bound: 0.77 B. Lower bound: 0.66; Upper bound: 0.70 OC. Lower bound: 0.50; Upper bound: 0.77 D. Lower bound: 0.77; Upper bound: 0.95 E. Lower bound: 0.67; Upper bound: 0.71 F3 F4 F5 F7 F8 24 4. %23 2 3. 6. Left control option command
- Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at their downtown Denton location to rate this new flavor. The rating is on a scale of 1 to 5, with 1 being 'not interested' and 5 being 'strongly interested'. Meth Barie's will approve the new flavor if the true mean rating is over 4.0. What is the Null hypothesis for testing whether the new ice cream should be approved?Question 2: A random sample of 200 observations produced a sample proportion of 0.35. Determine the 98% confidence interval for the population proportion. rt Answer:A newsletter publisher believes that less than 44 % of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?