A random sample of size 295 has x-104. The significance level is set at 0.05. Th

Question

A random sample of size 295 has x-104. The significance level is set at 0.05. The P-value for testing Ho: : 100 against Hai . 100 is 0.057. Identify all the incorrect statements below regarding this P-value of 0.057. (Select all that apply.) The test i$ not statistically significant at the significance level = 0.05. O . We can accept Ho at the = 0.05 level If Ho is true, the probability obtaining a sample mean that would show at least as much evidence against Ho as the observed sample mean is 0.057 The probability of Type I error equals 0.057. The probability that the null hypothesis is correct equals 0.057 O If Ho is true, the probability that-104 equals 0.057.

Explanation / Answer

Ans:

As,p-value=0.057>0.05,we fail to reject null hypothesis.

i.e. test is not statistically significant.

The below given statements are incorrect:

The probabilty of Type I error equals 0.057 (it is 0.05)

The probability that the null hypothesis is correct equals 0.057.

if H0 is true,the probability that sample mean=104 equals 0.057

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