A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
\A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
\p-values very close to the cutoff (0.05) are considered to be marginal (could go either way). Always report the p-value so your readers can draw their own conclusions
\\
Step 1:
\The mean height of the women is 160.0 cm. \ \
\The p-value is 0.0614.
\The p-value is greater than 0.05, which indictes weak evidence against null hypothesis, hence fail to reject the null hypothesis. \ \
\Null hypothesis :
\ \One of these statements must become the null hypothesis , and the other should be the alternate hypothesis.
\ \The null hypothesis contains equality.
\ \So for the above, the null hypothesis H0 : x = 160
\Step 2:
\\
Alternate hypothesis :
\ \\
The statement that does not contain equality is the alternative hypothesis.
\hence for the above scenario, the alternate hypothesis Ha : .
Solution :
\The claim is not rejected when the null hypothesis H0 is x = 160.
\The claim is not rejected when the alternate hypothesis Ha is .