You can calculate the P-value for a chi-square test using technology. After calculating the standardized test statistic, use the cumulative distribution function (CDF) to calculate the area under the curve. Use the P-value method to test the claim. A school administrator claims that the standard deviation for eighth-grade students on a test is greater than 40 points. A random sample of 27 eighth-grade students has a standard deviation of 41.2 points. A α=0.10,
is there enough evidence to support the administrator's claim?
Identify the null and alternative hypotheses.
A. H0: σ<40 Ha: σ≥40
B. H0: σ>40 Ha: σ≤40
C. H0: σ≥40 Ha: σ<40
D. H0: σ≤40 Ha: σ>40
Identify the standardized test statistic.
χ2=
(Round to three decimal places as needed.)
