Use the following information to complete steps (a) through (d) below. A random sample of n, = 135 individuals results in x, = 40 successes. An independent sample of n, = 140 individuals results in x,...


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Use the following information to complete steps (a) through (d) below.<br>A random sample of n, = 135 individuals results in x,<br>= 40 successes. An independent sample of n, = 140 individuals results in x, = 60 successes. Does this represent sufficient evidence to conclude that p, < p, at the a = 0.10<br>level of significance?<br>.....<br>(a) What type of test should be used?<br>O A. A hypothesis test regarding the difference of two means using a matched-pairs design.<br>B. A hypothesis test regarding the difference between two population proportions from dependent samples.<br>C. A hypothesis test regarding two population standard deviations.<br>D. A hypothesis test regarding the difference between two population proportions from independent samples.<br>(b) Determine the null and alternative hypotheses. Choose the correct answer below.<br>O A. Ho: P1 = p2; H1: P1 # P2<br>B. Ho: P1 > P2; H: P1 <P2<br>O C. Ho: P1 = p2; H1: P1 <P2<br>D. Ho: P1 = P2; H: P1 > P2<br>(c) Use technology to calculate the P-value.<br>(Round to three decimal places as needed.)<br>(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.<br>A. There is sufficient evidence to reject the null hypothesis because the P-value < a.<br>B. There is not sufficient evidence to reject the null hypothesis because the P-value > a.<br>C. There is not sufficient evidence to reject the null hypothesis because the P-value < a.<br>D. There is sufficient evidence to reject the null hypothesis because the P-value > a.<br>

Extracted text: Use the following information to complete steps (a) through (d) below. A random sample of n, = 135 individuals results in x, = 40 successes. An independent sample of n, = 140 individuals results in x, = 60 successes. Does this represent sufficient evidence to conclude that p, < p,="" at="" the="" a="0.10" level="" of="" significance?="" .....="" (a)="" what="" type="" of="" test="" should="" be="" used?="" o="" a.="" a="" hypothesis="" test="" regarding="" the="" difference="" of="" two="" means="" using="" a="" matched-pairs="" design.="" b.="" a="" hypothesis="" test="" regarding="" the="" difference="" between="" two="" population="" proportions="" from="" dependent="" samples.="" c.="" a="" hypothesis="" test="" regarding="" two="" population="" standard="" deviations.="" d.="" a="" hypothesis="" test="" regarding="" the="" difference="" between="" two="" population="" proportions="" from="" independent="" samples.="" (b)="" determine="" the="" null="" and="" alternative="" hypotheses.="" choose="" the="" correct="" answer="" below.="" o="" a.="" ho:="" p1="p2;" h1:="" p1="" #="" p2="" b.="" ho:="" p1=""> P2; H: P1 P2 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. A. There is sufficient evidence to reject the null hypothesis because the P-value < a.="" b.="" there="" is="" not="" sufficient="" evidence="" to="" reject="" the="" null="" hypothesis="" because="" the="" p-value=""> a. C. There is not sufficient evidence to reject the null hypothesis because the P-value < a.="" d.="" there="" is="" sufficient="" evidence="" to="" reject="" the="" null="" hypothesis="" because="" the="" p-value=""> a.

Jun 10, 2022
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