Several years ago, the mean height of women 20 years of age or older was 63.7 in

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.

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