Consider the following hypothesis test. Ho: ps 0.60 H p> 0.60 A random sample of size 100 provided a sample proportion of 0.74. A significance level of 0.04 will be used for hypothesis testing. What is the critical value of the test statistic. Enter your answer with two digits to the right of the decimal point in the box shown below.
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- You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 103 and s = 11.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a. Reject H0. There is insufficient evidence to conclude that ? ≠ 100. b. Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100. c. Reject H0. There is sufficient evidence to conclude that ? ≠ 100. d. Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a. Reject…The p-value for a hypothesis test turns out to be 0.0985. At a 8% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
- A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors. The following is the setup for this hypothesis test: Ho : p=0.40 Ha: p > 0.40 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below: TestStatisticYou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 104 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a.) Reject H0. There is insufficient evidence to conclude that ? ≠ 100. b.) Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100. c.) Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100. d.) Reject H0. There is sufficient evidence to conclude that ? ≠ 100. (b) x = 95.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.…Consider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 D
- Consider the hypothesis test below. Ho: P1 P2 ≤0 Ha : Pi-P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 731= 100 P₁ = 0.24 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. 0.0022 b. With a = 0.05, what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0 Sample 2 72 = 300 P₁ = 0.14A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percent is larger. 139 of the 262 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: Ho: ? μ p Select an answer = ≠ > < (please enter a decimal) H1: ? p μ Select an answer < = ≠ > (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger 51% at αα = 0.10, so there is sufficient…Answer choices for the blanks : 1. Contains or does not contain 2. Null or alternative 3. Sufficient or insufficient 4. Reject or support 5.insufficient or sufficient 6. Reject or support
- please see attached - thank you in advanceConsider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 100 n2 = 300 P1 = 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Select your answer -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 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: 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 H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…