Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 31 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. (a) What is the level of significance? (c) Find or estimate the P-value of the sample test statistic. a) P-value > 0.100b) 0.050 < P-value < 0.100 c) 0.025 < P-value < 0.050d) 0.010 < P-value < 0.025e) 0.005 < P-value < 0.010f) P-value < 0.005 Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? a) since the P-value > α, we fail to reject the null hypothesis.b) Since the P-value > α, we reject the null hypothesis. c) Since the P-value ≤ α, we reject the null hypothesis.d) Since the P-value ≤ α, we fail to reject the null hypothesis. Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 31 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance.
(a) What is the level of significance?
(c) Find or estimate the P-value of the sample test statistic.
a) P-value > 0.100
b) 0.050 < P-value < 0.100
c) 0.025 < P-value < 0.050
d) 0.010 < P-value < 0.025
e) 0.005 < P-value < 0.010
f) P-value < 0.005
Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
a) since the P-value > α, we fail to reject the null hypothesis.
b) Since the P-value > α, we reject the null hypothesis.
c) Since the P-value ≤ α, we reject the null hypothesis.
d) Since the P-value ≤ α, we fail to reject the null hypothesis.
Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)
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