A random sample of 50 binomial trials resulted in 20 successes. Test the daim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. A USE SALT (a) Can a normal distribution be used for the p distribution? Explain. No, ng is greater than 5, but np is less than 5. Yes, np and ng are both less than 5. No, np is greater than 5, but ng is less than 5. Yes, np and ng are both greater than 5. No, np and ng are both less than 5. (b) State the hypotheses. Ho: P< 0.5; H1:p-0.5 Ho: P- 0.5; H1:p> 0.5 Ho: p - 0.5; H: p. 0.5 Ho: P- 0.5; H1:p< 0.5 (c) Compute p. Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.)

K Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 B.C. A.D. 150 n 30 30 X 131.39 mm 136.66 mm S 5.11 mm 5.32 mm What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to ... warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same. as the variation in A.D. 150. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of…

The average American gets a haircut every 43 days. Is the average larger for college students? The data below shows the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 38, 37, 38, 45, 53, 55, 35, 37, 35, 41, 38 What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use? Select an answer: t-test for a population mean?  z-test for a population mean?         The null and alternative hypotheses would be:              H0:H0?   p  or  μ  Select an answer > = ≠ ≤ < ≥                H1:H1?  μ  or p  Select an answer ≠ ≥ > ≤ = <         2. The test statistic ? t z  =  (please show your answer to 3 decimal places.)           The p-value = _______ (Please show your answer to 3 decimal places.)           The p-value is? > or  ≤  α      3.  Based on this, we should?? Select an answer reject ? accept ? or  fail to reject ?…

A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the distribution? Explain. No, n·q is greater than 5, but n·p is less than 5.Yes, n·p and n·q are both greater than 5.     No, n·p is greater than 5, but n·q is less than 5.No, n·p and n·q are both less than 5.Yes, n·p and n·q are both less than 5. (b) State the hypotheses. H0: p = 0.5; H1: p > 0.5H0: p = 0.5; H1: p ≠0.5     H0: p < 0.5; H1: p = 0.5H0: p = 0.5; H1: p < 0.5 (c) Compute . (Enter a number.)p hat = Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.) (e) Do you reject or fail to reject H0? Explain. At the α = 0.05 level, we reject the null hypothesis and conclude the…