Several years ago, the mean height of women 20 years of age or older was 63.7 in
ID: 3365816 • Letter: S
Question
Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.1 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.06. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an = 0.10 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today 0 A. C. B. Ho: 64.1 in. versus H1: -64.1 in. O D. Hope 64.1 in, versus H, #84.1 in. O F. Ho: -63.7 in, versus H1:Explanation / Answer
a) A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. Analternative hypothesis is one that states there is a statistically significant relationship between two variables.
C option
b) The p-value = 0.06 represents that
There is a 0.06 probability of obtaining a sample mean height of 64.1 inches or taller from a population whose mean height is 63.7 inches.
D option
c) Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.