7.4O H,: H = 7.4; H,i 7.4; H,: H = 7.4O H: = 7.4; H,: H# 7.4(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.O The Student's t, since the...

Extracted text: Let x be a random variable that represents the pH of arterial plasma (l.e., acidity of the blood). For healthy adults, the mean of the x distribution is = 7.4.t A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviations = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Hg: u + 7.4; H,: = 7.4 O Hg: H = 7.4; H,: H > 7.4 O H,: H = 7.4; H,i < 7.4="" o="" hi=""> 7.4; H,: H = 7.4 O H: = 7.4; H,: H# 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large a is known. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer three decimal places.) (c) Estimate the P-value. O P-value > 0.150 O 0.100 < p-value="">< 0.150="" o="" 0.050="">< p.-value="">< 0.100="" o="" 0.020="">< p-value="">< 0.050="" o="" p-value="">< 0.020 sketch the sampling distribution and show the area corresponding to the p-value. (d) based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? are the data statistically significant at level a? o at the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. o at the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. o at the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. o at the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. 0.020="" sketch="" the="" sampling="" distribution="" and="" show="" the="" area="" corresponding="" to="" the="" p-value.="" (d)="" based="" on="" your="" answers="" in="" parts="" (a)="" to="" (c),="" will="" you="" reject="" or="" fail="" to="" reject="" the="" null="" hypothesis?="" are="" the="" data="" statistically="" significant="" at="" level="" a?="" o="" at="" the="" a="0.05" level,="" we="" reject="" the="" null="" hypothesis="" and="" conclude="" the="" data="" are="" statistically="" significant.="" o="" at="" the="" a="0.05" level,="" we="" reject="" the="" null="" hypothesis="" and="" conclude="" the="" data="" are="" not="" statistically="" significant.="" o="" at="" the="" a="0.05" level,="" we="" fail="" to="" reject="" the="" null="" hypothesis="" and="" conclude="" the="" data="" are="" statistically="" significant.="" o="" at="" the="" a="0.05" level,="" we="" fail="" to="" reject="" the="" null="" hypothesis="" and="" conclude="" the="" data="" are="" not="" statistically="">