In the last presidential election, a national survey company claimed that no more than 50% (i.e., ≤ 50%) of all registered voters voted for the Republican candidate. In a random sample of 400 registered voters, 204 voted for the Republican candidate. (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0:       Ha:       (b) Compute the test statistic.   (c) Compute the p-value, and test the hypotheses using a 5% level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =  State your conclusion. Do not reject H0. There is sufficient evidence to deny the survey company's claim.Reject H0. There is sufficient evidence to deny the survey company's claim.    Do not reject H0. There is insufficient evidence to deny the survey company's claim.Reject H0. There is insufficient evidence to deny the survey company's claim.

In random samples, 74 of 250 persons who watched a certain television program on a small TV set and 92 of 250 persons who watched the same program on a large set remembered 2 hours later what products were advertised. Use the x² statistic to test the null hypothesis 01 = 02 against the alternative hypothesis 01 02 at the 0.01 level of significance. 2

In a recent Super Bowl, a TV network predicted that 48 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 103 people who saw the commercials and found that 46 of them said they would watch one of the television shows. Suppose you are have the following null and alternative hypotheses for a test you are running: Но: р 3 0.48 Ha:p + 0.48 (a) Calculate the sample test statistic: (b) Calculate the standardarized test statistic (the z-score). Check Answer M

In the last presidential election, a national survey company claimed that no more than 50% (i.e., ≤ 50%) of all registered voters voted for the Republican candidate. In a random sample of 400 registered voters, 204 voted for the Republican candidate. (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0:       Ha:       (b) Compute the test statistic.   (c) Compute the p-value, and test the hypotheses using a 5% level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =  State your conclusion. Do not reject H0. There is sufficient evidence to deny the survey company's claim.Reject H0. There is sufficient evidence to deny the survey company's claim.    Do not reject H0. There is insufficient evidence to deny the survey company's claim.Reject H0. There is insufficient evidence to deny the survey company's claim.

In a survey of 1120 new college graduates 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was .24 or 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is: (a) Ho :p= .24 vs. H1 : p .24 (d) Ho : p = .25 vs. H1 : p .24 The value of the test statistic is: (а) 2.109 (b) .011 (c) .841 (d) 28.141 (е) .854