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SHOW WORK PLEASE Q25 from below: why isn\'t d also an answer? 0.022 is smaller t

ID: 3054030 • Letter: S

Question

SHOW WORK PLEASE

Q25 from below: why isn't d also an answer? 0.022 is smaller than 0, therefore doesn't the h0 get rejected also?

of Manitoba. What sample size ?s equired at the98% confidence level if the margin of errorofy your estimate to be 0.03? 24. You want to design a study to estimate the proportion IS Manibe wiana withe margin ofe error of (A) 6012 (B 1503 (C 4268 (D) 1497 (E) 1525 A certain population follows a formal distribution with mean ? and standard deviation ? You collect data and test the hy 01? = 2.5 2 )o. You obtain a P-value of 0.022. Which of the following is true? (A) A 95% confidence interval for ? will ínclude the value 1 A95% confidenceintervalforuwill ined e the value 0. value T. 0. "G) 99% confidenceinterval forti willinclude he 0?. D) A 99% confidenceinterval for ? will include the value (E) None of these. ·K????0 022 02 (L.e. September 11 2002), the first anniversary of the terrorist destruction of the World Trade Center in New York City, the winning th came up 9-1-1. The probability of this happening was (B) (I/1000)2-0000001 (C) 1 in a billion. (D) 3/10.

Explanation / Answer

We always compare p - value with level of significance to determine the results.

Here the null hypothesis is that mean = 1 and if p - value will be greater than level of significance, Ho is not rejected and we will be able to conclude that the confidence interval will contain the hypothesized mean (Which in this case is 1).

For 95% confidence interval, level of significance = 5%

Since p - value < 5%, we reject Ho at 5% and hence, we can't conclude that the interval will contain 1.

At the same time,

For 99% confidence interval, level of significance = 1%

p - value > 1% so we do not reject Ho and hence, 99% confidence interval will contain 1.

Therefore,

Option C is correct.