Answer:
Fail to reject Upper H 0 because the P-value is greater than alpha (α).
Explanation:
We are given the following hypothesis below;
Null Hypothesis,
: p = 53% {means that 53% of adults would erase all of their personal information online if they could}
Alternate Hypothesis,
: p < 53% {means that less than 53% of adults would erase all of their personal information online if they could}
Also, we are given the level of significance to be 0.05 and P-value = 0.2831.
Now, the decision rule about null hypothesis based on P-value is given by;
- If the P-value is less than the level of significance, then we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.
- If the P-value is more than the level of significance, then we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.
So here, the P-value is more than the level of significance as 0.2831 > 0.05, so we will fail to reject our null hypothesis because the P-value is greater than alphaα.