If, in a sample of n = 25 selected from a normal population, X = 53 and S = 15, how many degrees of freedom does the t test have if you are testing the null hypothesis Ho: H = 50? The degrees of freedom are (Simplify your answer.)
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- B. The test statistic is z=___. C. The P-value is___ D. Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Reject/fail to reject) H0. There (is/is not) sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.Just Part A and BA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. O State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 O0 O20 O=0 ?
- A test of Ho: p = 0.5 versus Ha: p > 0.5 has a test statistic of z = 2.19. What is the P-value for the test? If the alternative hypothesis were Ha: p ≠≠0.5, what would be the value of the P-value?Suppose a researcher compares the means of two independent groups that have the same number of participants in each group. The researcher uses the .05 level of significance and obtains a calculated value of t of 2.11. At least how many participants must be in each group in order to reject the null hypothesis?A. 10B. 9C. 8D. 11If, in a sample of n=25 selected from a normal population, X=51 and S=5,what is the value of tSTATif you are testing the null hypothesis H0: μ=50? tSTAT=nothing (Type an integer or a decimal.)
- You are testing the claim that a population proportion exceeds .62. The null hypothesis is H0H0:Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two-sample ?-test for two proportions. Her hypotheses are given by ?0:??=???1:??≠?? where ?0 is the null hypothesis, and ?1 is the alternative hypothesis. The variables ?? and ?? represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256 women own cats. Determine the pooled sample proportion, ?̂. Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). Provide your answer precise to three decimal places. SE = ?̂=Donna claims that all chocolate candy colors (red, orange, blue, green, yellow, and dark brown) are equally likely to appear in a package. In order to test this, you collect a sample of size n= 55. Your sample contains 14 red, 6 orange, 10 blue, 5 green, 10 yellow, and 10 dark brown. If you were to perform a goodness of fit test, what would be the degrees of freedom?
- In 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. C "1.M1 M2 Find the test statistic for this hypothesis test. 0.96 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?A test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
